Statistics Questions

Suppose one wants to matrix multiply a matrix A by a matrix B in R Which of the following conditions must be true Oncol A nrow A Oncol A ncol B ncol B nrow B

When created using matrix are matrices filled by row by default O Yes O No

Are matrices in R stored as vectors Yes No

SEP Explain Phenomena How are human activities related to the changes in ocean composition observed near the Mauna Loa Observatory Construct an explanation using data from the graphs and the text

boards rejected per batch is 5 7 with a variance of 1 4 The factory manager suspects that due to a change in the molding process the variance has increased She tests a random sample of 10 batches produced using the new process the number of circuit boards rejected per batch has a sample variance of 2 5 Assume the numbers of circuit boards rejected per batch using the new process follow a normal distribution Is there sufficient evidence to conclude that the population variance is greater than 1 4 To answer complete the parts below to perform a hypothesis test Use the 0 10 level of significance a State the null hypothesis and the alternative hypothesis that you would use for the test Ho H 0 O O Oso 020 0 0 Chi square Distribution Step 1 Enter the number of degrees of freedom Step 3 Enter the test statistic Round to 3 decimal places Step 2 Select one tailed or two tailed O One tailed O Two tailed S b Perform a chi square test and find the p value Here is some information to help you with your chi square test n The value of the test statistic is given by 1 2 Step 5 Enter the p value Round to 3 decimal places X The p value is the area under the curve to the right of the value of the test statistic Step 4 Shade the area represented by the p value 5 O O 034 02 0 1 10 15 c Based on your answer to part b choose what can be concluded at the 0 10 level of significance about the population variance in the number of circuit boards rejected per batch using the new process Since the p value is less than or equal to the level of significance the null hypothesis is rejected So there is enough evidence to conclude that the variance is greater than 1 4 Since the p value is less than or equal to the level of significance the null hypothesis is not rejected So there is not enough evidence to conclude that the variance is greater than 1 4 Since the p value is greater than the level of significance the null hypothesis is rejected So there is enough evidence to conclude that the variance is greater than 1 4 O Since the p value is greater than the level of significance the null hypothesis is not rejected 30 X 5

EST 1 OF FOURTH QUARTER 2022 2023 ONLY FOR JUNIORS say 1 An airline claims that there is 0 25 probability a randomly selected business traveler will check baggage An agent at the check in counter records whether each business traveler checks baggage a Explain what probability 0 25 means in this setting 0 25 means that For every y will check his bag e b C buisness traveler they Does this probability say that if 100 business travelers are selected at random exactly 25 of them will check baggage Explain The agent observed 6 out of 12 business travelers who checked baggage She would like to know if this outcome provides convincing evidence that greater than 25 of business travelers check baggage To help answer this question we want to perform a simulation to estimate the probability that 6 or more out of 12 business travelers will check baggage Describe how to use a random number generator to perform one repetition of the simulation To determine if these data provide convincing evidence that more than 25 of business travelers check baggage 100 simulated samples of 12 business travelers were selected assuming that 25 check baggage The dotplot shows the number of business travelers in each simulated sample that check baggage 0 i 4 m2 6 7 Simulated sample count of business travelers that check baggage d Use the results of the simulation to estimate the probability that 6 or more of the 12 randomly selected business travelers check baggage Based on the actual result of 6 business travelers that checked baggage and your answer to part d is do that more than 25 of business travelers check baggage Explain your

2 Suppose you spin a spinner with four equal sections red blue green and yellow two times a List all of the possible outcomes for spinning two times b Define event A as spinning blue at least once Find P A 3 A local restaurant is handing out coupons to customers as part of a marketing promotion The coupons are all of equal size well mixed and have the name of a free item written on them Here is the probability model for the items the customers can win Color Probability Beverage 0 45 a Explain why this is a valid probability model Appetizer 0 25 Entr e 0 05 Dessert 0 25 b Find the probability that a customer does not win an entr e 4 Among 120 middle school students 70 like chocolate ice cream 40 like strawberry ice cream and 30 like both Make a Venn diagram to display the sample space of this chance process using the events C likes to apiques borch chocolate ice cream and S likes strawberry ice cream a b Find the probability that a randomly selected middle school student likes chocolate or strawberry ice cream Find the probability that a randomly selected middle school student likes chocolate ice cream but not strawberry ice cream d What s the probability that a randomly selected middle school student likes chocolate ice cream given that they like strawberry ice cream na

Question 15 of 32 worth 3 points Suppose you flip a fair coin 10 times Which of the following is NOT TRUE OA P tossing 4 heads P tossing 4 tails OB P tossing heads P tossing 8 heads OC P tossing 5 heads P tossing 5 tails OD P tossing 1 head P tossing 2 heads E P tossing 10 heads P tossing 3 heads F P tossing 3 heads P tossing 7 tails

Part 3 of 5 Fill in the Blank worth 30 points Question 24 of 32 worth 4 points Save The evil geniuses behind Instagram Ads determine that the probability a person will tap on an add that they see is 0 12 If a person sees 50 adds the probability that they tap on exactly 3 adds is round to the nearest 4 decimal places If a person sees 50 adds the probability that they tap on at least 5 adds is

While the average professional soccer player is shorter than the average NFL football player the height of goalies in professional soccer leagues appears to be more comparable You wish to test the claim that the average height of goalkeepers in professional soccer leagues is equal to the average height of NFL football players In a random sample of 35 professional soccer goalies the average height was 71 inches with a standard deviation of 1 2 inches In a random sample of 40 NFL football players the average height was 72 inches with a standard deviation of 1 8 inches Conduct a hypothesis test at alpha 0 05 to test the claim that the average height of pro soccer goalkeepers is equal to the average height of NFL football players 1 What is the null hypothesis 2 What is the alternative hypothesis 3 What is the P value 4 What does your answer mean in terms of the claim Answer Source BIU 8

Let x be a random variable representing the average daily calorie intake of an individual Let y be a random variable representing the weight of the same individual The following table represents the average daily calorie intakes and weights of 9 random individuals Calorie Intake x Weight in pounds y 1800 2000 2100 112 a The correlation coefficient is r 130 c The regression line equation is y the nearest 4 decimal places 147 2200 140 1600 2000 2500 1600 2300 102 125 187 98 round to the nearest 4 decimals X Save b What type of linear correlation is there between calorie intake and weight strong positive moderate positive weak positive strong negative moderate negative or weak negative There is a correlation between calorie intake and weight 177 e The predicted weight of an individual who consumes an average of 2400 calories a day is pounds round to the nearest whole number round to d Create a scatter plot and draw the regression line for the data You can upload the picture as part of your scratch work in the scratch work section Your picture can either be a screenshot or it can be a hand drawn sketch

Question 26 of 32 worth 4 points points Express all answers as decimals a If you roll an 10 sided die yes they do exist the probability of rolling a 7 is b If you roll an 10 sided die the probability of rolling at least 7 is c The probability of choosing two hearts from a standard 52 card deck with replacement is d The probabilit Save

Question 29 of 32 worth 6 points Save You wish to test the claim that the average cereal brand has over 8 grams of sugar In a sample of 50 cereal brands the sample mean was 8 1 grams of sugar with a sample standard deviation of s 0 4 grams Conduct a hypothesis test at the a 0 05 significance level to check that claim Answer each of the following questions in order 1 What is the null hypothesis 2 What is the alternative hypothesis 3 Which is the claim the null hypothesis or the alternative hypothesis 4 Should you reject or fail to reject the null hypothesis Explain how you reached this conclusion and provide the important numbers using either the P test or the critical value test 5 What does the answer to your previous question mean in terms of the claim Answer

Question 28 of 32 worth 4 points a How would you interpret a correlation coefficient of r 0 87 b How would you interpret a correlation coefficient of r 0 28 c What is the difference between interpolation and extrapolation Answer

Question 30 of 32 worth 6 points Save In a random selection of 300 pirates 19 of them had bounties over five million dollars You wish to test the claim that exactly 5 percent of all pirates have bounties over five million Conduct a hypothesis test at the a 0 01 significance level answering each of the following questions in order 1 What is the null hypothesis 2 What is the alternative hypothesis 3 Which is the claim the null hypothesis or the alternative hypothesis 4 What is the P value 5 What is the conclusion in terms of the claim Answer

Question 25 of 32 worth 4 points Save Medical schools usually require MCAT scores from the applicants Suppose MCAT test scores from a normal distribution with mean 470 points and standard deviation o 45 points a What is the probability that a randomly selected exam score will be 500 or higher The probability is b To be allowed into a prestigious program you need to score in the top 10 of all MCAT scores What is the minimum score needed to be admitted into the program The minimum score is round to the nearest whole number c If a graduating class of 50 students is applying to medical school what is the probability the mean MCAT scores for the group will be 480 or higher The probability is round to the nearest 4 decimal places if necessary

Question 23 of 32 worth 6 points The following set represents the price in thousands of 10 randomly selected homes in Hawaii 740 865 945 965 1050 860 980 965 1050 1100 a Find the mean and sample standard deviation for the data set Round answers to the nearest whole number Mean Sample Standard Deviation Save round to nearest whole number b What is the 99 confidence interval for the average annual income of an individual in Hawaii The 99 confidence interval is round to nearest whole number

Part 3 of 5 Fill in the Blank worth 30 points Question 22 of 32 worth 4 points Save The height of NBA players is normally distributed with an average height of u 77 inches The population standard deviation of NBA player heights is 4 15 inches Lebron James is 81 inches tall What is the probability that a randomly selected NBA player is taller than Lebron Round to the nearest 4 decimal places The probability is What is the probability that the average height of 15 randomly selected NBA players is higher than Lebron Jame s height Round to the nearest 4 decimal places The probability is

In a random sample of 950 individuals living in Honolulu 775 of them have had COVID 19 a What is the point estimate for the population proportion of individuals in Honolulu who have had COVID 19 The point estimate is to the nearest 4 decimal places b What is the 97 confidence interval for the population proportion of individuals in Honolulu who ha had COVID The confidence interval is decimal places to the nearest 4

Which of the following values is the most reasonable correlation coefficient between the number of hou spent watching Netflix and the number of hours spent studying Assume that the more Netflix you watch the less you will study A r 1 7 OB r 0 7 O c r 0 OD r 0 7 OE r 1 7

Which one of the following claims could also be an alternative hypothesis if you were to conduct a hypothesis test A The claim that the average movie length is over two hours B The claim that the average height is equal to 5 feet 8 inches C The claim that at most 3 of working college students are employed as teachers or teaching assistants O D The claim that the average Viking killed at least 100 foes minu

in a random selection of 1 000 college athletes 72 of them consumed 5 or more meals per day Wh the population A The number of meals consumed by all college athletes B The number of meals consumed by 1 000 college athletes OC The 72 of 1 000 college athletes OD 72 of all college athletes

Which of the following IS a possible confidence interval in estimating a population proportion OA 0 7 0 2 OB 0 11 0 33 OC 1 4 2 3 OD 0 3 0 4 OE 123 145

Which one of the following linear regression equations indicates a positive correlation between the explanatory and response variables O A y 2 124x 4 3 B y 2124x 4 3 OC y 0 02 1 324x OD y 1 324x 0 02 Review Check to review before finishing will be flagged in Table of Contents

In which of the following situations is using a combination the appropriate counting technique A Counting the possibilities for a 1st 2nd and 3rd place winner in an upcoming Yu Gi Oh card tournament OB Counting ways you can choose 5 of your 125 light sabers C Counting the number of license plates are possible D Counting the number of 4 digit iPhone passcodes are possible assuming a code like 0000 is allowed OE None of the above Review

Question 8 of 32 worth 2 points In hypothesis testing it is possible to reject the null hypothesis but accept the claim True False Review Chosl

A correlation coefficient of r 0 7 or higher between two variables x and y implies that there is a causal relationship between x and y O True False Review Check to review before finishing will be flagged in Table of Contents

4000 3000 2000 1000 0 1000 2000 3000 4000 5000 penny 1979 1980 1981 1982 1983 1984 5861 prophy 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 South Cascasde 5661 1997 1998 6667 2000 www TOOZ 2002 2007 Sarennes Figure 18 3 Glacier Mass Balance Data 330 2008 6007 Echaurren Norte 2010 T 2011 2012 2013 2014 2015 2016 2017 2018 4 Refer to Figure 18 3 a What is the overall trend in the mass balance data for the three glaciers b Use Your Critical Thinking Skills When looking at mass balance data why would it be important to analyze data over a long time span

H 0 3 H o 3 This hypothesis test is a right tailed test Part 1 5 Part 2 of 5 Find the critical value Round the answer to three decimal places For a 0 01 the critical value is 10 856 X G

Part 1 of 3 Compute the least squares regression line for predicting the price of milk from the price of eggs Round the slope and y intercept to at least four decimal places Regression line equation y 3 1696 0 0012x Part 1 3 Part 2 of 3 If the price of eggs differ by 0 15 from one month to the next by how much would you expect the price of milk to differ Round the answer to two decimal places The price of milk would differ by S

a Construct a scatterplot of the weight y versus the height x Weight pounds 240 235 230 225 Question Attempt 1 of 3 215

1 13 1 16 1 19 1 14 1 17 1 17 1 28 1 26 1 28 Send data to Excel Part 0 3 Part 1 of 3 3 18 3 23 3 23 3 21 3 12 3 09 3 14 3 13 3 17 3 21 Compute the least squares regression line for predicting the price of milk from the price of eggs Round the slope and y interce

The price of milk would differ by 4 Correct Answer The price of milk would differ by 0 09 Part 2 3 Part 3 of 3 Predict the price of milk in a month when the price of eggs is 1 19 Round the answer to two decimal places

The coach of a college baseball team is comparing the wins of two rival teams in the division The number of wins per season for each team is shown in the chart Number of Wins 40 35 30 25 20 Baseball Wins 2014 2015 2016 2017 2018 2019 2020 Year Tigers Stars

b Compute the correlation coefficient between the height and weight of the quarterbacks Round the answer to at least three decimal places The correlation coefficient is r 0 6995 Part 2 4 Part 3 of 4 c If a quarterback is below average in height would you expect him to be above average or below average in weight Explain I would expect the quarterback to be Choose one average in weight since r is Choose one

Question 6 of 14 1 point Question Attempt 1 of 3 where do you liver the 0 3 Census Buread computed the proportion of residents who lived in caer random sample was drawn of 1000 people living in the United States in Year B The following table presents the results Category Northeast 0 192 Midwest 0 221 South 0 362 West 0 225 Year A Proportion Send data to Excel Part 0 2 Can you conclude that the proportions of people living in the various regions changed between Year A and Year B Use the a 0 05 level of significance Part 1 of 2 Year B Frequency 140 216 387 257 a Find the P value Use Excel round your answer to four decimal places geographic regions

Part 1 4 Part 2 of 4 205 70 71 72 73 The correlation coefficient is r 74 75 76 Height inches 77 S 78 79 80 b Compute the correlation coefficient between the height and weight of the quarterbacks Round the answer to at least three decimal place x

Beryllium disease Beryllium is an extremely lightweight metal that is used in many industries such as aerospace and electronics Long term exposure to beryllium can cause people to become sensitized Once an individual is sensitized continued exposure can result in chronic beryllium disease which involves scarring of the lungs In a study of the effects of exposure to beryllium workers were categorized by their duration of exposure in years and by their disease status diseased sensitized or normal The results were as follows Diseased Sensitized Normal Send data to Excel Part 0 4 Duration of Exposure 1 to 5 Part 1 of 4 15 9 73 14 25 130 Test the hypothesis of independence Use the a 0 01 level of significance and the P value method with the TI 84 Plus calculator What do you conclude 5 23 8 209 a State the null and alternate hypotheses Ho Beryllium exposure and disease status Choose one independent H Beryllium exposure and disease status Choocoong independent X Espa a 8 B B ola

Name Collin Klein E J Manuel Ryan Nassib Sean Renfree Geno Smith Brad Sorensen James Vandenberg Tyler Wilson Send data to Excel Part 0 4 Part 1 of 4 Height Weight 226 237 227 219 74 218 237 226 215 H 250 FRNK74 77 77 75 76 75 74 a Construct a scatterplot of the weight y versus the height x

Part 1721 Part 3 of 4 Part 2 4 Check Answer es must be negative No the x values must be positive millimeters hpt 2 of 3 X Owncg8Tof4a5q5fmgWG31RYRVbH21NdTHW5zj49clvdbn9K4w If the systolic pressures of two patients differ by 16 millimeters by how much would you predict their diastolic pressures to differ Round the answer to three decimal places The diastolic pressure would differ by S ncia wwno X ncia wwno X Bitcon

Spring Semester 2023 Exam IV SHOW ENOUGH OF YOUR WORK SO THAT METHODS USED CAN BE EVALUAS 1 12 Points Airline companies are not only interested in the average fly a particular route but they are also interested in that the number of pe fairly consistent It s very difficult for planning purposes the lights half full or less on other days To study a particular fight b passengers on 25 days was studied The airline has a goal for the sa 36 passengers For the sample taken the standard deviation of the number 8 0 Is this enough evidence to say that the variance is actually greater than 36 Tax 1

standard deviation of 12 4 m The company recently updated the devices which the lead engineer suspects has caused the standard deviation G to decrease He measures the heights at which the devices fire for a random sample of 13 of the updated devices The heights at which the devices fire have a sample standard deviation of 9 5 m Assume the heights at which the updated devices fire follow a normal distribution Can the engineer conclude that the population standard deviation o is less than 12 4 m To answer complete the parts below to perform a hypothesis test Use the 0 10 level of significance a State the null hypothesis H and the alternative hypothesis that you would use for the test Ho O 0 0 020 Chi square Distribution Step 1 Enter the number of degrees of freedom Step 3 Enter the test statistic Round to 3 decimal places Step 2 Select one tailed or two tailed O One tailed OTwo tailed Step 5 Enter the p value Round to 3 decimal places X Step 4 Shade the area represented by the p value S OSO b Perform a chi square test and find the p value Here is some information to help you with your chi square test The value of the test statistic is given by 1 s 0 0 The p value is the area under the curve to the left of the value of the test statistic O O 0 0 03 02 01 10 c Based on your answer to part b choose what can be concluded at the 0 10 level of significance about the population standard deviation in the heights at which the updated devices fire O Since the p value is less than or equal to the level of significance the null hypothesis is rejected So there is enough evidence to conclude that the standard deviation is less than 12 4 m Since the p value is less than or equal to the level of significance the null hypothesis is not rejected So there is not enough evidence to conclude that the standard deviation is less than 12 4 m Since the p value is greater than the level of significance the null hypothesis is rejected So there is enough evidence to conclude that the standard deviation is less than 12 4 m 25 Since the p value is greater than the level of significance the null hypothesis is not rejected X 5 35

tion 1 point s possible In a study of pulse rates of men a simple random sample of 151 men results in a standard deviation of 10 9 beats per minute The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute If the range rule of thumb is applied to that normal range the result is a standard deviation of 10 beats per minute Use the sample results with a 0 05 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute see the accompanying StatCrunch display for this test What do the results indicate about the effectiveness of using the range rule of thumb with the normal range from 60 to 100 beats per minute for estimating a in this case Assume that the simple random sample is selected from a normally distributed population iClick the icon to view the StatCrunch display GEER Let o denote population standard deviation of the pulse rates of men in beats per minute Identify the null and alternative hypotheses Ho a V H o Type integers or decimals Do not round Identify the test statistic Round to two decimal places as needed Identify the P value Round to three decimal places as needed State the conclusion about the null hypothesis as well as the final conclusion that addresses the original claim Submit test sufficient evidence to the null hypothesis There the claim that pulse rates of men have a standard deviation equal to 10 beats per minute The results significant evidence that using the range rule of thumb with the normal range from 60 to 100 beats per minute for estimating a effective in this case

This question 1 point s possible In a study of pulse rates of men a simple random sample of 151 men results in a standard deviation of 10 9 beats per minute The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute If the range rule of thumb is applied to that normal range the result is a standard deviation of 10 beats per minute Use the sample results with a 0 05 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute see the accompanying StatCrunch display for this test What do the results indicate about the effectiveness of using the range rule of thumb with the normal range from 60 to 100 beats per minute for estimating a in this case Assume that the simple random sample is selected from a normally distributed population iClick the icon to view the StatCrunch display CELLEN Let a denote population standard deviation of the pulse rates of men in beats per minute Identify the null and alternative hypotheses Ho o H V Type integers or decimals Do not round Identify the test statistic Round to two decimal places as needed Identify the P value Round to three decimal places as needed State the conclusion about the null hypothesis as well as the final conclusion that addresses the original claim Submit test sufficient evidence to the null hypothesis There the claim that pulse rates of men have standard deviation equal to 10 beats per minute The results significant evidence that using the range rule of thumb with the normal range from 60 to 100 beats per minute for estimating effective in this case indicate that there

releasing the reserve parachute at a mean height of 320 0 m with a standard deviation of 12 4 m The company recently updated the devices which the lead engineer suspects has caused the standard deviation G to decrease He measures the heights at which the devices fire for a random sample of 13 of the updated devices The heights at which the devices fire have a sample standard deviation of 9 5 m Assume the heights at which the updated devices fire follow a normal distribution Can the engineer conclude that the population standard deviation o is less than 12 4 m To answer complete the parts below to perform a hypothesis test Use the 0 10 level of significance a State the null hypothesis H and the alternative hypothesis that you would use for the test Ho O O O OSO O 020 Chi square Distribution Step 1 Enter the number of degrees of freedom Step 3 Enter the test statistic Round to 3 decimal places b Perform a chi square test and find the p value Here is some information to help you with your chi square test Step 2 Select one tailed or two tailed O One tailed O Two tailed Step 5 Enter the p value Round to 3 decimal places S X The value of the test statistic is given by The p value is the area under the curve to the left of the value of the test statistic Step 4 Shade the area represented by the p value 0 0 00 03 02 01 10 15 n 1 s 0 Since the p value is less than or equal to the level of significance the null hypothesis is rejected So there is enough evidence to conclude that the standard deviation is less than 12 4 m Since the p value is less than or equal to the level of significance the null hypothesis is not rejected So there is not enough evidence to conclude that the standard deviation is less than 12 4 m c Based on your answer to part b choose what can be concluded at the 0 10 level of significance about the population standard deviation in the heights at which the updated devices fire Since the p value is greater than the level of significance the null hypothesis is rejected So there is enough evidence to conclude that the standard deviation is less than 12 4 m Since the p value is greater than the level of significance the null hypothesis is not rejected 201 30 X 35 S

A bottle contains a label stating that it contains Spring Valley pills with 500 mg of vitamin C and another bottle contains a label stating that it contains Merck pills with 40 mg of lisinopril that is used to treat high blood pressure Identify which one of the following errors is most serious explain why it is most serious and characterize the error as being a type I error or a type Il error 1 For lisinopril fail to reject Ho 40 mg when the mean is actually different from 40 mg ii For lisinopril reject Ho 40 mg when the mean is actually equal to 40 mg ili For vitamin C fail to reject Ho 500 mg when the mean is actually different from 500 mg iv For vitamin C reject Ho 500 mg when the mean is actually equal to 500 mg Error is most serious since this error is the most likely to result in a person GIED This error would be a type error

This question 1 point s possible Use the results from a survey of a simple random sample of 1259 adults Among the 1259 respondents 73 rated themselves as above average drivers We want to test the claim that more than of adults rate themselves as above average drivers Complete parts a through e 13 20 www young www y b If we use the same significance level to conduct the hypothesis test using the P value method the critical value method and a confidence interval which method is not always equivalent to the other two OA The confidence interval method is not always equivalent to the other two OB The P value method is not always equivalent to the other two OC The critical value method is not always equivalent to the other two O D All three methods are always equivalent to each other c It was stated that we can easily remember how to interpret P values with this If the P is low the null must go What does this mean This statement means that if the is low in relation to then one should d Another memory trick sometimes used is this If the P is high the null will fly Given that a hypothesis test never results in a conclusion of proving or supporting a null hypothesis how is this memory trick misleading the OA This statement seems to suggest that with a high P value the alternative hypothesis has been rejected but this conclusion cannot be made OB This statement seems to suggest that with a high P value the null hypothesis has been proven or is supported but this conclusion cannot be made OC This statement seems to suggest that with a low P value the null hypothesis has been proven or is supported but this conclusion cannot be made O D This statement seems to suggest that with a high P value the alternative hypothesis has been proven or is supported but this conclusion cannot be made e Common significance levels are 0 01 and 0 05 Why would it be unwise to use a significance level with a number like 0 0457 O A Choosing such a specific significance level could give the impression that the significance level was carefully chosen to reach a desired conclusion OB Using a significance level to more decimal places makes calculations of P values more difficult difficult to roiect the pull hypothesis

A data set includes weights in grams of 34 Reese s Peanut Butter Cup Miniatures The accompanying Statdisk display shows results from using all 34 weights to test the claim that the sample is from a population with a mean equal to 8 953 g Test the given claim by using the display provided from Statdisk Use a 0 05 significance level i Click the icon to view the Statdisk display Identify the null and alternative hypotheses Ho V H Type integers or decimals Do not round Identify the test statistic Round to two decimal places as needed Identify the P value Statdisk Display t Test Test Statistic t Critical t P value 2 53288 2 03452 0 01625 Print Round to three decimal places as needed State the conclusion about the null hypothesis as well as the final conclusion that addresses the original claim the null hypothesis There sufficient evidence at the 0 05 significance level to Done X the claim that the sample is from a population with a mean equal to 8 953

a Why does margin of error have no relevance for confidence interval estimates of a or a b What is wrong with expressing the confidence interval of 6 6 bpm a 14 bpm as 10 3 bpm 3 7 bpm a Choose the correct answer below CEITE 5 possible OA Unlike confidence interval estimates of p or confidence interval estimates of oor o are created using a distribution that is symmetric so there is no E as in confidence interval estimates of p or Submit test OB Unlike confidence interval estimates of p or confidence interval estimates of o or o are not created using a distribution that is symmetric so there is no E as in confidence interval estimates of p or b Choose the correct answer below OC Like confidence interval estimates of p or confidence interval estimates of a or a are created using a distribution that is symmetric so there is no E as in confidence interval estimates of p or OD Like confidence interval estimates of p or confidence interval estimates of o or o are not created using a distribution that is symmetric so there is no E as in confidence interval estimates of p or OA Expressing the interval as 10 3 bpm 3 7 bpm is misleading because it is larger than the actual interval of 6 6 bpm o 14 OB Expressing the interval as 10 3 bpm 3 7 bpm is misleading because it is smaller than the actual interval of 6 6 bpm o 14 OC Expressing the interval as 10 3 bpm 3 7 bpm is misleading because it implies that point estimate for a is s 3 7 bpm which is not true OD Expressing the interval as 10 3 bpm 3 7 bpm is misleading because it implies that point estimate for a is s 10 3 bpm which is not true

Using the lengths in chest sizes in and weights lb of bears from data set the resulting regression equation is Weight 274 0 426 Length 12 1 Chest Size The P value is 0 000 and the adjusted R2 value is 0 925 If an additional predictor variable of neck size in is included the P value becomes 0 000 and the adjusted R2 becomes 0 933 Why is it better to use values of adjusted R2 instead of simply using values of R Choose the correct answer below KIIB OA The unadjusted R2 decreases or remains the same as more variables are included but the adjusted R2 is adjusted for the number of variables and sample size OB The unadjusted R2 increases or remains the same as more variables are included but the adjusted R2 is adjusted for the number of variables and sample size OC The unadjusted R2 can only be calculated for regression equations with two or fewer predictor variables while the adjusted R2 can be calculated for regression equations with any number of predictor variables OD The unadjusted R2 can only be calculated for regression equations with P values greater than 0 while the adjusted R2 can be calculated for regression equations with any manner of P value