Statistics Questions

A well known brokerage firm executive has indicated that 20 of investors are currently confident of meeting their investment goals An XYZ Investor Optimism Survey conducted over a two week period found that in a sample of 300 people 12 of them said they are confident of meeting their goals Test the claim that the proportion of people who are confident is smaller than 20 at the 0 10 significance level The null and alternative hypothesis would be Ho p 0 2 H p 0 2 O Ho 0 2 H 0 2 0 2 Ho H 0 2 O Ho p 0 2 H p 0 2 O Ho p 0 2 H 0 2 O Ho p 0 2 H p 0 2 The test is two tailed right tailed left tailed The test statistic is The p value is Based on this we O Fail to reject the null hypothesis Reject the null hypothesis to 3 decimals to 4 decimals

6 pts It is known that 23 of students at Missoula College are in a health related field We are going to take a random sample of 100 students to see what percentage of them are going into healthcare a What does our random variable P represent in this instance The random variable P represents the sample proportion of students from the random sample of 100 who are going into healthcare b What does the distribution of P look like Justify your response Hint CLT and be sure you show work for Hp H P 23 Hp and op 6 0 23 I 1 0 23 1 0 23 100 0 23 0 77 100 0 00177 0 0421 200 of

2 10 pts We are told that 67 of the Missoula population has been skiing We are going to take a random sample of 120 students What does our random variable P represent in this instance a The random variable P represents the sample proportion of students who have gone skiing from the random sample of 120 students from the Missoula population b What does the distribution of P look like Justify your response Hint reference the CLT then draw the distribution with the mean and standard deviation clearly labeled Show work for Hp and op

Isabel is a very determined 4th grader who studies different neighborhoods each year to determine which give the most candy on Halloween Right now she wants to know which is the most consistent in the amount of candy she receives She thinks the population standard deviation of all the neighborhoods is 3 candies In her neighborhood she samples 9 of the houses and finds a sample standard deviation of 1 94 candies At the a 0 10 significance level is there evidence to say that her neighborhood has a smaller standard deviation than 3 Use the p value method a For this study we should use Chi Squared test for a population standard deviation b The null and alternative hypotheses would be Ho o v 3 H ov c The test statistic is 2 042 d The p value 0 0842 e The p value is va f Based on this we should fail to reject g Thus the final conclusion is that 3 please show your answer to 3 decimal places Please show your answer to 4 decimal places the null hypothesis O The data suggest the populaton standard deviation is significantly less at a 0 10 so there is sufficient evidence to conclude that the standard deviation of candies is less than 3 The data suggest the population standard deviation is not less at a 0 10 so there is sufficient evidence to conclude that the standard deviation of candies is 3 O The data suggest the population standard deviation is not significantly less at a 0 10 so there is not sufficient evidence to conclude that the standard deviation of candies is less than 3 Give a short explanation of how you reached your conclusion to Reject Fail to Reject or Accept HO in the last problem

Prior to a new drive through system the mean wait time at a certain fast food restaurant was 99 seconds Use the data in the table below to decide whether the evidence suggests the mean wait time is different than 99 seconds with their new system Assume wait times are normally distributed and use an a 0 05 significance level Use the p value approach 69 9 65 74 84 8 81 3 H P c The test statistic t 3 141 93 6 a For this study we should use t test for a population mean b The null and alternative hypotheses would be Ho 99 99 86 84 8 d The p value 0 0117 e The p value is a f Based on this we should Select an answer the null hypothesis g Thus the final conclusion is that please show your answer to 3 decimal places 107 6 Please show your answer to 4 decimal places 97 5 The data suggest the population mean is not different at a 0 05 so there is sufficient evidence to conclude that the mean wait time is different The data suggest the populaton mean is significantly different at a 0 05 so there is sufficient evidence to conclude that the mean wait time is different The data suggest the population mean is not significantly different at a 0 05 so there is not sufficient evidence to conclude that the mean wait time is different

Only about 18 of all people can wiggle their ears Is this percent higher for millionaires Of the 302 millionaires surveyed 64 could wiggle their ears Run a hypothesis test to see if the percent of millionaires who can wiggle their ears is more than 18 at the a 0 10 level of significance Use the classical approach a For this study we should use z test for a population proportion b The null and alternative hypotheses would be Ho p H p c The test statistic z 0 977 0 18 0 18 please enter a decimal Please enter a decimal please show your answer to 3 decimal places d The critical value 1 282 e The test statistic is Select an answer Please show your answer to 3 decimal places in the rejection region f Based on this we should Select an answer the null hypothesis g Thus the final conclusion is that O The data suggest the population proportion is not significantly more than 18 at a 0 10 so there is not sufficient evidence to conclude that the proportion of millionaires who can wiggle their ears is more than 18 The data suggest the population proportion is not significantly more than 18 at a 0 10 so there is sufficient evidence to conclude that the proportion of millionaires who can wiggle their ears is equal to 18 The data suggest the populaton proportion is significantly more than 18 at a 0 10 so there is sufficient evidence to conclude that the proportion of millionaires who can wiggle their ears is more than 18

A researcher is interested in finding a 95 confidence interval for the mean number of times per day that college students text The study included 81 students who averaged 25 9 texts per day The standard deviation was 13 6 texts Round answers to 3 decimal places where possible a To compute the confidence interval which distribution should you use t distribution z distribution b With 95 confidence the population mean number of texts per day is between 22 941 and 28 589 texts c If many groups of 81 randomly selected members are studied then a different confidence interval would be produced from each group About percent of these confidence intervals will contain the true population number of texts per day and about percent will

Only about 18 of all people can wiggle their ears Is this percent higher for millionaires Of the 302 millionaires surveyed 64 could wiggle their ears Run a hypothesis test to see if the percent of millionaires who can wiggle their ears is more than 18 at the a 0 10 level of significance Use the classical approach a For this study we should use z test for a population proportion b The null and alternative hypotheses would be Ho p H P c The test statistic d The critical value 0 18 0 18 please enter a decimal Please enter a decimal please show your answer to 3 decimal places Please show your answer to 3 decimal places

Prior to a new drive through system the mean wait time at a certain fast food restaurant was 99 seconds Use the data in the table below to decide whether the evidence suggests the mean wait time is different than 99 seconds with their new system Assume wait times are normally distributed and use an a 0 05 significance level Use the p value approach 69 9 65 74 84 8 81 3 a For this study we should use t test for a population mean b The null and alternative hypotheses would be Ho H c The test statistic d The p value 99 99 93 6 86 84 8 107 6 please show your answer to 3 decimal places Please show your answer to 4 decimal places 97 5

In a sample of 410 adults 213 dressed up for Halloween this year even though they had to socially distance Construct a 95 confidence interval for the true population proportion of adults who dressed up for Halloween a Give your answers as decimals to three places 0 470 p 0 568 b Choose the correct interpretation of the confidence interval you found With 95 confidence the proportion of all adults who dressed up for Halloween is between the two values I found With 95 confidence a randomly selected adult dresses up for Halloween some percentage of time somewhere between the two values I found There is a 95 chance that the proportion of people who dressed up for Halloween this year from the 390 adults sampled will be between the two values I found There is a 95 chance that the proportion of the population is between the two values I found

A researcher is interested in finding a 95 confidence interval for the mean number of times per day tha college students text The study included 81 students who averaged 25 9 texts per day The standard deviation was 13 6 texts Round answers to 3 decimal places where possible a To compute the confidence interval which distribution should you use t distribution z distribution b With 95 confidence the population mean number of texts per day is between and toxtr

rior to a new drive through system the mean wait time at a certain fast food restaurant was 99 seconds Ise the data in the table below to decide whether the evidence suggests the mean wait time is different han 99 seconds with their new system Assume wait times are normally distributed and use an a 0 05 ignificance level Use the p value approach 69 9 65 74 81 3 a For this study we should use Select an answer b The null and alternative hypotheses would be Ho Select an answer H Select an answer 84 8 93 6 86 84 8 107 6 97 5

sabel is a very determined 4th grader who studies different neighborhoods each year to determine which give the most candy on Halloween Right now she wants to know which is the most consistent in the amount of candy she receives She thinks the population standard deviation of all the neighborhoods is 3 candies In her neighborhood she samples 9 of the houses and finds a sample standard deviation of 1 94 candies At the a 0 10 significance level is there evidence to say that her neighborhood has a smaller standard deviation than 3 Use the p value method a For this study we should use Select an answer b The null and alternative hypotheses would be Ho Select an answer H Select an answer

In a sample of 410 adults 213 dressed up for Halloween this year even though they had to socially distance Construct a 95 confidence interval for the true population proportion of adults who dressed up for Halloween a Give your answers as decimals to three places

In an Online Discussion one of our statistics classes sampled 81 student s resting heart rates and found a standard deviation of 11 71 beats per minute Construct a 99 confidence interval for o the true standard deviation of resting heart rates for Rio Hondo students Use 3 decimal places a Find the lower and upper x critical values at 99 confidence Lower Upper

4 4 pts To estimate the mean heights which are normally distributed of female students on your campus you will measure a simple random sample of female students You know from government data that the standard deviation of the heights of young women is about 2 6 inches and the mean is 64 inches a If we record the heights of 10 randomly selected female students what is the probability that their mean height is between 62 and 65 inches You must sketch the distribution including labels and shade in the corresponding region to your probability for full credit 2 6 standard error SE sample size 10 201612 0 822 lower z score 62 64 0 822 upper z score 2 0 822 2 43 65 64 0 822 0 822 1 22 1 I 1 1 1 P 2 43 Z 1 22 1 1 P Z 1 22 P Z 2 43 I 0 88 0 99 0 11 1 2 43 1 22

10 pts We are told that 67 of the Missoula population has been skiing We are going to take a random sample of 120 students What does our random variable P represent in this instance a

1 Be sure to fully justify your responses when appropriate Don t forget units and use complete sentences when appropriate asked for Round probabilities to 4 decimal places 10 pts Assume the weights of NFL football players are normally distributed with a mean of 248 lbs and a standard deviation of 29 lbs A new private airplane which could carry all 53 players has a maximum weight capacity of 13250 lbs a Sketch the appropriate distribution below for the random variable X the weight in lbs of an individual NFL football player Be sure the mean and standard deviation are clearly labeled standard deviation 29 306 335 364 b Using this distribution what is the probability that a randomly selected NFL player will weigh over 250 lbs 55 87 248 mean 277

4 pts To estimate the mean heights which are normally distributed of female students on your campus you will measure a simple random sample of female students You know from government data that the standard deviation of the heights of young women is about 2 6 inches and the mean is 64 inches If we record the heights of 10 randomly selected female students what is the probability that their mean height is between 62 and 65 inches You must sketch the distribution including labels and shade in the corresponding region to your probability for full credit

6 pts It is known that 23 of students at Missoula College are in a health related field We are going to take a random sample of 100 students to see what percentage of them are going into healthcare a What does our random variable P represent in this instance

Be sure to fully justify your responses when appropriate Don t forget units and use complete sentences when appropriate asked for Round probabilities to 4 decimal places 10 pts Assume the weights of NFL football players are normally distributed with a mean of 248 lbs and a standard deviation of 29 lbs A new private airplane which could carry all 53 players has a maximum weight capacity of 13250 lbs a Sketch the appropriate distribution below for the random variable X the weight in lbs of an individual NFL football player Be sure the mean and standard deviation are clearly labeled

2 n 1 p 3 41 Can we say that the sampling distribution of is approximately normal in this case If the answer is no state the first conditions in the list above that falled No since n 1 p 10 the second condition did not check out 1 np 10 7 which c If you take a sample of size 535 from the original population where p is 2 can we say that the sampling distribution of is approximately normal Why or why not Check conditions which 10 10 2 n 1 p 524 3 which Select an answer 10 Can we say that the sampling distribution of is approximately normal in this case If the answer is no state the first conditions in the list above that failed Select an answer Yes since all conditions check out No since np 10 the first condition did not check out No since n 1 p 10 the second condition did not check out dyw www vg VITVINY IN distribution to compute probabilities How are the problems in this section different was large enough to use the normal

rv a randomly selected booked passenger b Can we say that the sampling distribution of is approximately normal Yos Because np M 191 52 which is 5 n 1 p 30 48 which is 25 c What is the probability that at least 90 of the randomly selected booked passengers showed up on time Round final answer to 4 decimal places P 0 9 d What is the probability that at most 83 of the randomly selected booked passengers showed up on time Round final answer to 4 decimal places PP 0 83

Can we say that the sampling distribution of p is approximately normal in this case If the answer is no state the first conditions in the list above that failed No since np 10 the first condition did not check out b Redo part a assuming p has increased to 89 Check conditions 1 np 2 n 1 p which Can we say that the sampling distribution of p is approximately normal in this case If the answer is no state the first conditions in the list above that failed Select an answer 1 np which c If you take a sample of size 535 from the original population where p is 2 can we say that the sampling distribution of is approximately normal Why or why not Check conditions 2 n 1 P which which Can we say that the sampling distribution of pis approximately normal in this case If the answer is no state the first conditions in the list above that failed Select an answer

Assume 86 of people actually show up for their flight on time Because of this airlines tend to overbook flights A random sample of 222 booked passengers is taken and whether or not they showed up on time is recorded for each of them List the given information with the correct symbols v 86 v 222 A a Identify the individual variable info from each individual random variable X and the random variable p in the context of this problem The individual is Select an answer The variable information collected from each individual is Select an answer The wording in context for the random variable X is as follows rv X Select an answer The wording in context for the random variable is as follows rv Select an answer b Can we say that the sampling distribution of p is approximately normal Because np n 1 P which is which is c What is the probability that at least 90 of the randomly selected booked passengers showed up on time Round final answer to 4 decimal places

Assume you have a population where 2 of the population has some particular disease List the given numeric information along with the correct symbols v 2 a If you take a sample of size 31 can we say that the sampling distribution of is approximately normal Why or why not Check conditions 1 np 2 n 1 P which Can we say that the sampling distribution of pis approximately normal in this case If the answer is no state the first conditions in the list above that failed Select an answer 1 np which v b Redo part a assuming p has increased to 89 Check conditions 2 n 1 P which which Can we say that the sampling distribution of p is approximately normal in this case If the answer is no state the first conditions in the list above that failed Select an answer

8 1 For the port wine stains research study answer the following a What are the populations of interest b What are some factors besides change in skin color that may be of interest to the investigators 8 2 For the port wine stains research study do the following a Describe how the subjects in this experiment could have been selected so as to satisfy the randomization requirements b State several research hypotheses that may have been of interest to the researchers

g Find the probability that the sample mean cholesterol level of the 22 randomly selected women age 45 59 in Ghana Nigeria and Seychelles is less than 5 5 mmol l Round final answer to 4 decimal places DO NOT use the rounded standard deviation from part e in this computation Use the EXACT value of the standard deviation with the square root h Find the probability that the sample mean cholesterol level of the 22 randomly selected women age 45 59 in Ghana Nigeria and Seychelles is more than 5 64 mmol l Round final answer to 4 decimal places DO NOT use the rounded standard deviation from part e in this computation Use the EXACT value of the standard deviation with the square root i Is a mean cholesterol level of 5 64 mmol l unusually high for 22 randomly selected women age 45 59 in Ghana Nigeria and Seychelles Yes the probability above is less than or equal to 0 05 3 If you found a mean cholesterol level for a sample of 22 women age 45 59 in Ghana Nigeria and Seychelles as high as 5 64 mmol l what might you conclude There is no evidence that the mean cholesterol level of all women age 45 59 in Ghana Nigeria and Seychelles has changed from 5

8 11 10 14 9 6 9 SH320000 11 13 12 MATS 321 X Ray Diffraction Analysis Lecture pha of 0 05 conduct a five step hypothesis test to determine if probation officer caseload has a significantly impact orvoradons committed on release 9 9 7 8 3 3 Notes 1 Write down your five steps in a MS Word file 2 Use Excel to complete the fourth step which is Compute the Obtained Value 3 Copy and paste the Excel table into the MS Word file make sure you adjust the table so numbers can be shown clearly 4 Upload your MS Word file

1 point 50 people are randomly selected and the accuracy of their wristwatches is checked with positive errors representing watches that are ahead of the correct time and negative errors representing watches that are behind the correct time The 50 watches have an average error of 103 sec and the sample standard deviation of the watch errors is 170 sec Use a 0 02 significance level to test the claim that the average watch reads the correct time use a two sided alternative What is our null hypothesis 103 A Ho OB Ho OC Ho 103 103 0 D Ho OE Ho 0 OF Ho 0 OG Ho 103 OH Ho 0 OL Ho 103 J Ho p 0 OK Ho 103 OL Ho 0 What is our alternative hypothesis OA HA 0 OB HA 103 C HA 0 OD HA 103 OE HA 0 OF HA 103 OG HA 103 OH HA 0 OLHA 103 OJ HA 0 The test statistic is The P Value is

O understanding how primates have individual behaviors and personalities O learning that gibbons often use tools O conducting the first primate research in South America O discovering that chimpanzees are our closest primate relatives

Bone review question Which of the following are bones in your leg mark all that apply O femur humerus tibia thoracic O radius

Ag 8 6 A large laboratory has four types of devices used to determine the pH of soil samples The laboratory wants to determine whether there are differences in the average readings given by these devices The lab uses 24 soil samples having known pH in the study and randomly assigns six of the samples to each device The soil samples are tested and the response recorded for each sample is the difference between the pH reading of the device and the known pH of the soil These values along with summary statistics are given in the following table Device A B C D 1 307 176 137 042 2 294 125 063 690 3 Sample 079 013 240 201 4 019 082 050 166 5 136 091 318 219 6 324 459 154 407 a Based on your intuition is there evidence to indicate any difference among the mean differences in pH readings for the four devices b Run an analysis of variance to confirm or reject your conclusion in part a Use 05 c Compute the p value of the F test in part b d What conditions must be satisfied for your analysis in parts b and c to be valid e Suppose the 24 soil samples have widely different pH values What problems may occur by simply randomly assigning the soil samples to the different devices

g 8 7 It is conjectured that when fields are overgrazed by cattle there will be a substantial reduc tion in the available grass during the subsequent grazing season due to the compaction of the soil A horticulturist at the state agricultural experiment station designs a study to evaluate the conjec ture Twenty one plots of land of nearly the same soil texture and suitable for grazing are selected for the study Three grazing regimens selected for evaluation are randomly assigned to 7 plots each After the 21 plots are subjected to the grazing regimens for four months the researcher randomly selects 10 soil cores from each plot and measures the bulk density g cm in each soil core The mean soil density of the 10 cores from each plot is given in the following table Grazing Regimen Continuous grazing Three week grazing one week no grazing Two week grazing two week no grazing 2 05 3 05 1 20 1 48 1 23 1 66 Soil Density g cm 3 12 1 59 3 83 1 53 1 44 3 54 1 03 1 45 1 40 2 68 1 70 1 29 1 26 1 05 2 35 a Do the grazing regimens appear to yield different degrees of effect on the amount of compacting in the soil Justify your answer using an a 05 test b Provide the level of significance of your test c Do any of the conditions necessary for conducting your test appear to be violated Justify your answer

8 3 A number of new techniques for teaching reading have been proposed in the educational literature A researcher designs the following study to evaluate three of these new methods along with the standard method which has been used for a number of years In a large school district five elementary schools are selected for inclusion in the study Four third grade teachers are ran domly selected in each of the five schools and the four reading techniques are randomly assigned to the teachers The teachers participate in a 2 week workshop to learn the fine points of their assigned technique The students in the 20 classrooms are given a standardized reading examina tion at the end of the semester with the average score in each classroom used as the measure of the effectiveness of the teaching technique Thus there are five measurements of the effective ness of each of the four teaching techniques a What are the populations of interest in this study b The conclusions of this study can properly be inferred for what populations c Would it be appropriate to use the AOV F test to evaluate whether there is a difference in the average scores of the four teaching techniques 8 4 In Example 8 3 suppose the organization wanted to compare the mean test scores of Catho lic priests and Methodist ministers Note that it appears based on the data that these two groups have the same variance What is the gain in using a two sample t test having sy in the denomina tor as opposed to using the conventional pooled t test with s2 the average of the sample variances for the Catholic priests and Methodist ministers

8 5 Consider an experiment designed to compare four treatment means 2 3 and M4 using sample sizes of size n n n3 and n4 and sample variances s1 s3 s3 and s a Suppose the sample sizes are the same n n n3 n4 Show that sy is the average of the four sample variances s s s s 4 b Does this hold if the sample sizes are not equal If not why not just use the average

0 0044 A Keep working At least one of the answers above is NOT correct Getting things wrong is part of learning 1 point A hypothetical experiment is conducted on the effect of alcohol on perceptual motor ability Ten subjects are each tested twice once after having two drinks and once after having two glasses of water The two tests were on two different days to give the alcohol a chance to wear off Half of the subjects were given alcohol first and half were given water first The scores of the 10 subjects are shown below The top number for each subject is their performance in the water condition Higher scores reflect better performance Test to see if alcohol impaired test scores 5 6 7 8 9 Subject 1 2 3 Water 16 15 15 11 Alcohol 13 13 10 4 20 13 15 14 20 19 14 18 17 11 10 15 11 0 0044 A t value 2 9231 p value 0 0044 Hint test statistic Does alcohol had a significant effect using an 0 01 alpha level OA Yes B No OC Maybe Keep Working correct 10 16 16

2 ACME Cola wants to do a taste test between their diet soda and Diet Coke They want to know which is more popular Where p is the proportion who chose ACME Cola in a taste test From a random sample of 84 consumers 32 selected ACME Cola Determine if there is a significant difference in preference between the two colas at a 95 confidence level a 0 05 The null and alternative hypotheses Ho p 0 5 HA P 0 5 a Compute the test statistic z score b What is the p value for the test statistic

1 point A 97 confidence interval for a random sample of paired differences is 17 83 21 09 The confidence interval is ba sample of 25 paired differences Calculate the margin of error the mean paired difference and the standard deviation of the 2 Margin of Error Mean Paired Difference Standard Deviation of the Paired Differences

There is no correlation between cost per serving and fiber per serving There is a strong negative linear relationship between cost per serving and fiber per serving c The serving size differed for the different cereals with serving sizes varying from a half cup to one and a quarter cups Converting price and fiber content to per cup rather than per serving results in the following data Cost per Cup 49 46 49 62 32 8 19 77 56 8 30 Fiber per Cup 9 3 10 0 10 0 7 0 6 4 7 0 12 0 9 6 8 0 Cost per Cup 53 53 67 43 48 56 54 54 75 3 Fiber per Cup 13 0 10 0 8 0 12 0 7 0 28 0 7 0 per serving and fiber per serving 16 0 10 7 Compute the value of the correlation coefficient for this new data set Round your answer to four decimal places Is the correlation coefficient for the per cup data greater than or less than the correlation coefficient for the per serving data The correlation coefficient for the per cup data is greater than the correlation coefficient for the per serving data The correlation coefficient for the per cup data is less than the correlation coefficient for the per serving data The correlation coefficients are the same

No since the normal probability plot QQ plot is roughly c Which of the following is the correct modified boxplot for the data above 142 140 142 160 142 204 142 215 180 200 220 240 Cholesterol levels in mg dL 231 215 239 204 260 280 277 294 277 140 160 180 200 220 240 260 280 300 320 Cholesterol levels in mg dL Q 248 256 282 300 Q 318 140 160 180 200 220 240 260 280 300 320 Cholesterol levels in mg dL Q 308 282 308 140 160 180 200 220 240 260 280 300 320 Cholesterol levels in mg dL Q Does this graph support the claim that the sample data came from a normal population Select an answer

Yes since the normal probability plot QQ plot is not roughly linear c Which of the following is the correct modified boxplot for the data above 30 30 30 35 40 45 50 55 60 65 70 Atlantic Cod Lengths in cm O 30 35 40 35 45 48 505 54 HI 35 45 4385 525 HO Atlantic Cod Lengths in cm 45 47 50 HI 60 45 50 55 60 65 34 40 45 Atlantic Cod Lengths in cm 60 50 55 60 O 45 49 52 5 56 HIH O O 70 40 45 50 55 60 65 70 Atlantic Cod Lengths in cm Does this graph support the claim that the sample data came from a normal population Select an answer

b Which of the following is the correct normal probability plot for the data above Normal Quantile Normal Quantile 157 1 18 0 78 0 39 0 78 118 157 98 105 112 119 126133 40147154161 168 157 118 Normal Probability Plot 0 78 0 39 Blood Pressure in bpm O Normal Probability Plot 98 105 112 119 126133 40147 154 161 168 039 0 78 1 18 157 Blood Pressure in bpm Normal Quantile Normal Quantile 1 57 1 18 0 78 0 39 0 78 118 157 98 Jos 112 11126133140 147 154 161 168 639 1 57 1 18 0 78 0 39 Normal Probability Plot 0 78 1 18 157 Blood Pressure in bpm Normal Probability Plot Jos 112 11126133140 147 154 161 168 Blood Pressure in bpm o Does this graph support the claim that the sample data came from a normal population

b For a sample of size 23 state the mean and the standard deviation of the sampling distribution of the sample mean mean of the sampling distribution of the sample mean when n 23 30 standard deviation of the sampling distribution of the sample mean when n 23 rounded to two decimal places 1 668 c If you take a sample of size 45 can you say what the shape of the distribution of the sample mean is Why or why not On is at least 30 Oo is known Oo is unknown O population is normal population is not normal On is less than 30 d For a sample of size 45 state the mean and the standard deviation of the sampling distribution of the sample mean mean of the sampling distribution of the sample meanwhen n 45 standard deviation of the sampling distribution of the sample mean when n 45 rounded to two decimal places

f What is the shape of the sampling distribution of the sample mean Select an answer Why Check all that apply population is not normal On is at least 30 Do is known Do is unknown On is less than 30 population is normal g Find the probability that the sample mean lifetime of the 20 randomly selected dishwashers is less than 11 6 years Round final answer to 4 decimal places DO NOT use the rounded standard deviation from part e in this computation Use the EXACT value of the standard deviation with the square root A h Find the probability that the sample mean lifetime of the 20 randomly selected dishwashers is less than 11 4 years Round final answer to 4 decimal places DO NOT use the rounded standard deviation from part e in this computation Use the EXACT value of the standard deviation with the square root i Is a mean lifetime of 11 4 years unusually low for 20 randomly selected dishwashers Select an answer

rv X the amount of rainfall of a randomly selected year in Sydney Australia b Which of the following is the correct normal probability plot for the data above rmal Quantile Normal Probability Plot 1 57 1 18 0 78 0 39 61 882 820 164185 BH6 387 328 409340 371 282 0 30 0 98 01 18 1 57 Rainfall Ammounts in mm O 1 57 1 18 0 78 0 39 Cooooo Cooo F To 1 882 82764185 BHK 387 228 409340 371 482 0 30 0 98 1 18 1 57 Normal Quantile Normal Probability Plot 1 57 1 18 0 78 0 39 Normal Quantile 3618 823 764185 B6 387 328 409340 371 282 059 0 78 1 18 1 57 Rainfall Ammounts in mm odo Normal Probability Plot 1 57 1 18 0 78 0 39 Co 8 0 78 1 18 157 361 83 123 764185 36 387 328 409340 371 282 Rainfall Ammounts in mm O

The random variable X is as follows rv X the cholesterol level of a randomly selected patient four days after having a heart attack b Which of the following is the correct normal probability plot for the data above Normal Quantile Normal Quantile 157 1 18 0 78 0 39 157 1 18 0 78 0 39 Normal Probability Plot 158 4176193 B11 228 346 46481 399216 834 0 39 0 78 118 137 0 78 1 18 137 00 COOOO Cholesterol levels in mg dL O Normal Probability Plot A BOGDOS C 15847693 3228 346 46481 399 216 834 Cholesterol levels in mg dL Q Normal Quantile Normal Quantile 157 1 18 0 78 0 39 0 39 0 78 1 18 157 Normal Probability Plot 158 476933228 246 46481 399 316 834 1 57 1 18 0 78 0 39 Cholesterol levels in mg dL Normal Probability Plot 000000 Cholesterol levels in mg dL O 158 476193 B11 228 46 46481 399 216 234 0 39 0 78 1 18 157

b Which of the following is the correct normal probability plot for the data above 1 57 1 18 0 78 0 39 1 18 1 57 1 57 1 57 1 18 0 78 0 39 7 7 324 36 39 643 246 50 4 54 57 661 264 868 4 40 39 32 4 36 39 643 246 50 4 54 57 661 264 868 4 0 39 0 78 1 18 1 18 0 78 0 39 0 78 1 18 Normal Probability Plot 1 57 Atlantic Cod Lengths in cm O 32 4 36 39 643 246 50 4 54 57 661 264 868 4 0 39 0 78 Normal Quantile 1 57 Normal Probability Plot 1 57 1 18 0 78 0 39 Atlantic Cod Lengths in cm Normal Probability Plot 32 4 36 39 643 246 50 4 54 57 661 264 868 4 0 39 0 78 1 18 1 57 www Atlantic Cod Lengths in cm Does this graph support the claim that the sample data came from a normal population Select an answer

1 Nationally 66 8 of voter eligible people voted in the last presidential election in the U S A city wants to compare the percent of adults who vote in their city to 66 8 From a random sample of 250 voter eligible residents 140 said they voted in the last midterm election Determine if there s a significant difference in the percent of people who voted in this city compared to the U S at a 95 confidence level a 0 05 The null and alternative hypotheses a Compute the test statistic z score Ho p b What is the p value for the test statistic 0 668 HA P 0 668

The mean cholesterol levels of women age 45 59 in Ghana Nigeria and Seychelles is 5 1 mmol l and the standard deviation is 1 0 mmol l Assume that cholesterol levels are normally distributed and a random sample of 22 women are selected It is possible with rounding for a probability to be 0 0000 a Identify the individual variable type of variable and the random variable X in the context of this problem The individual is Seleck an answer The variable information collected from each individual is Select an answer This variable is a Select an answer The random variable X is as follows Select an answer b List the givens with the correct symbols 5 1 mmol l 1 mmol l v 22 variable c Identify the random variable X in the context of this problem Select an answer d Find the mean of the sampling distribution of the sample mean Put the numeric value in the first box and the correct units in the second box e Find the standard deviation of the sampling distribution of the can