Statistics Questions

Thus for a 5 minute time interval we have u 3 Step 2 Now that the values of 3 and x 6 are on the same 5 minute time interval the formula for the Poisson distribution can be applied Find the probability of receiving 6 calls in a 5 minute interval of time rounding the result to four decimal places f x e X 36 e 3 Sunt 3 and x me beeld

The mean hourly wage for males is given to be 37 39 with a standard deviation of 4 60 Both values are representative of the population but we are to determine the probability that the sample mean for 90 male graduates is between 36 39 and 38 39 That is P 36 39 x 38 39 The normal distribution will be used to find this probability so the probability statement must be converted to the standard normal random variable z Recall the formula for z given below The given mean will be used for but the standard deviation will need to be modified since we are dealing with a sample mean not a particular value of x Thus the standard deviation will be modified using the formula for the standard error below Z Z 0 Z n Thus z will be found using the formula below which uses the sample mean and standard error n x Z a 6 0 Find the z value corresponding to x 36 39 rounding the result to two decimal places x 90 x H 36 39 37 39 6 x x Find the z value corresponding to x 38 39 rounding the result to two decimal places x n 38 39 37 39 0 n

On the first day of the fiscal year a company issues a 2 500 000 8 5 year bond that pays semiannual interest of 100 000 2 500 000 x 8 x 2 receiving cash of 2 300 000 Using straight line amortization journalize the first interest payment and the amortization of the related bond discount If an amount box does not require an entry leave it blank 8 Interest Expense Discount on Bonds Payable 20 000 X

You may need to use the appropriate appendix table or technology to answer this question The Wall Street Journal reports that 33 of taxpayers with adjusted gross incomes between 30 000 and 60 000 itemized deductions on their federal income tax return The mean amount of deductions for this population of taxpayers was 16 642 Assume the standard deviation is o 2 400 a What is the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within 200 of the population mean for each of the following sample sizes 20 50 150 and 300 Round your answers to four decimal places sample size n 20 sample size n 50 sample size n 150 sample size n 300 b What is the advantage of a larger sample size when attempting to estimate the population mean A larger sample has a standard error that is closer to the population standard deviation OA larger sample increases the probability that the sample mean will be a specified distance away from the population mean O A larger sample increases the probability that the sample mean will be within a specified distance of the population mean A larger sample lowers the population standard deviation Need Help Read It

Assume that the population proportion is 0 52 Compute the standard error of the proportion o for sample sizes of 100 200 500 and 1 000 Round your answers to four decimal places For a sample size of 100 For a sample size of 200 For a sample size of 500 For a sample size of 1000 What can you say about the size of the standard error of the proportion as the sample size is increased Oo increases as n increases p o approaches p as n increases p decreases as n increases Oo approaches p as n increases P p

You may need to use the appropriate appendix table or technology to answer this question The president of Doerman Distributors Inc believes that 30 of the firm s orders come from first time customers A random sample of 150 orders will be used to estimate the proportion of first customers a Assume that the president is correct and p 0 30 What is the sampling distribution of p for n 150 Round your answer for o to four decimal places p E p Since np and n 1 p approximating the sampling distribution with a normal distribution Select appropriate in this case b What is the probability that the sample proportion p will be between 0 20 and 0 40 Round your answer to four decimal places c What is the probability that the sample proportion will be between 0 25 and 0 35 Round your answer to four decimal places

Suppose a simple random sample of size n 75 is obtained from a population whose size is N 20 000 and whose population proportion with a specified characteristic is p 0 8 Complete parts a through c below a Describe the sampling distribution of p Choose the phrase that best describes the shape of the sampling distribution below O A Approximately normal because n 0 05N and np 1 p 10 OB Approximately normal because n 0 05N and np 1 p 210 OC Not normal because n 0 05N and np 1 p 10 O D Not normal because n 0 05N and np 1 p 10

According to a survey in a country 27 of adults do not own a credit card Suppose a simple random sample of 700 adults is obtained Complete parts a through d below a Describe the sampling distribution of p the sample proportion of adults who do not own a credit card Choose the phrase that best describes the shape of the sampling distribution of p below OA Approximately normal because n 0 05N and np 1 p 10 OB Approximately normal because n 0 05N and np 1 p 10 OC Not normal because n 0 05N and np 1 p 10 OD Not normal because n 0 05N and np 1 p 10

gambling game played in casinos A player is dealt two Backs queens and kings and tens have a point value of 10 Aces have a point value of 1 or 11 A 52 card deck contains 16 cards with a point value of 10 jacks queens kings and tens and four aces Round your answers to four decimal places a What is the probability that both cards dealt are aces or 10 point cards X b What is the probability that both of the cards are aces x c What is the probability that both of the cards have a point value of 10 X d A blackjack is a 10 point card and an ace for a value of 21 Use your answers to parts a b and c to determine the probability that a player is dealt blackjack Hint Part d is not a hypergeometric problem Develop your own logical relationship as to how the hypergeometric probabilities from parts a b and c can be combined to answer this question Need Help Submit Answer X Read It DETAILS PREVIOUS ANSWERS ASWSBE14 5 E 056 MI MY NOTES PRACTICE ANOTHER 7 3 75 3 75 Points ASK YOUR TEACHER Axline Computers manufactures personal computers at two plants one in Texas and the other in Hawaii The Texas plant has 40 employees the Hawali plant has 20 A random sample of 10 employees is to be asked to fill out a benefits questionnaire Round your answers to four decimal places a What is the probability that none of the employees in the sample work at the plant in Hawaii

You may need to use the appropriate appendix table or technology to answer this question Barron s reported that the average number of weeks an individual is unemployed is 16 5 weeks Assume that for the population of all unemployed individuals the population mean length of unemployment is 16 5 weeks and that the population standard deviation is 5 weeks Suppose you would like to select a sample of 55 unemployed individuals for a follow up study a Show the sampling distribution of x the sample mean average for a sample of 55 unemployed individuals O 52 9 53 6 54 3 55 55 7 56 4 57 1 1 5 6 5 11 5 16 5 21 5 26 5 31 5 weeks weeks 2 1 1 4 0 7 0 0 7 1 4 2 1 weeks 14 4 15 1 15 8 16 5 17 2 17 9 18 6 c What is the probability that a simple random sample of 5 unemployed individuals will provide a sample mean within weeks 1 b What is the probability that a simple random sample of 55 unemployed individuals will provide a sample mean within 1 week of the population mean Round your answer to four decimal places 1 week of the population mean Round your answer to four decimal 2

Exit polling is a popular technique used to determine the outcome of an election prior to results being tallied Suppose a referendum to increase funding for education is on the ballot in a large town voting population over 100 000 An exit poll of 500 voters finds that 255 voted for the referendum How likely are the results of your sample if the population proportion of voters in the town in favor of the referendum is 0 49 Based on your result comment on the dangers of using exit polling to call elections How likely are the results of your sample if the population proportion of voters in the town in favor of the referendum is 0 49 The probability that more than 255 people voted for the referendum is Round to four decimal places as needed

Recall that the notation N represents a combination of n objects chosen from a larger sample of N objects This is calculated as follows When n 1 N n N n f x Substitute the values N 90 employees n 15 questionnaires r 35 possible chances for a success and x 1 desired success into the hypergeometric formula to find the probability that one employee from the Hawaii plant takes this questionnaire rounding the result to four decimal places f 1 O 0 N 35 90 5 Submit 90 15 569 90 15 35 14 551 141 411 901 will always be N Skip you cannot come back

According to a study conducted by a statistical organization the proportion of people who are satisfied with the way things are going in their lives is 0 84 Suppose that a random sample of 100 people is obtained Complete parts a through e below a Suppose the random sample of 100 people is asked Are you satisfied with the way things are going in your life Is the response to this question qualitative or quantitative Explain OA The response is quantitative because the number of people satisfied can be counted OB The response is qualitative because the number of people satisfied can be counted OC The response is qualitative because the responses can be classified based on the characteristic of being satisfied or not OD The response is quantitative because the responses can be classified based on the characteristic of being satisfied or not

Question 4 of 15 4 The frequency distribution below summarizes the sex of employees at a particular small business What percentage of employees are male Sex Female Male Answer Frequency 22 28

Question 1 of 6 1 Using the cumulative frequency distribution below how many individuals were 151 160 lbs in weight Weight lbs 131 140 141 150 151 160 161 170 Answer Cumulative Frequency 2 8 12 14 Continue Reset answer

Question 4 of 6 4 Use the dot plot below to determine how many individuals are 45 50 inches tall inclusively 40 Answer 45 50 Height inches 55 60

household in a small neighborhood 12 Frequency 10 00 4 2 0 D Answer 1 Previous Answer 2 2 Number of Children 3 What percentage of households have no more than 2 children Enter your answer as a decimal and round your answer to the nearest hundredths 4

Complete parts a through d for the sampling distribution of the sample mean shown in the accompanying graph Click the icon to view the graph a What is the value of The value of is b What is the value of o The value of o is d d TI Sampling Distribution 260 300 340 2 X The distribution is normal The locations of the peak and inflection points are shown he population opulation from which the sample was drawn drawn is

5 The frequency histogram below summarizes the exam scores of students in a class Frequency 12 10 8 6 4 2 01 50 Answer 60 70 80 Exam Score 90 100 What percentage of students scored at least 80 percent Enter your answer as a decimal and round your answer to the nearest hundredths

Part B Linda bought 1 shirt and 2 ties at the same store What is the total price in dollars and cents of Linda s purchas Enter your answer in the box

A simple random sample of size n 36 is obtained from a population that is skewed right with u 72 and 18 a Describe the sampling distribution of x b What is P x 76 65 c What is P x 65 85 d What is P 69 75 x 78 9 a Choose the correct description of the shape of the sampling distribution of x O A The distribution is uniform OB The distribution is skewed left OC The distribution is skewed right OD The distribution is approximately normal O E The shape of the distribution is unknown Find the mean and standard deviation of the sampling distribution of X Px ox Type integers or decimals Do not round b P x 76 65 Round to four decimal places as needed c P x 65 85 Round to four decimal places as needed d P 69 75 x 78 9 Round to four decimal places as needed

The acceptable level for insect filth in a certain food item is 4 insect fragments larvae eggs body parts and so on per 10 grams A simple random sample of 50 ten gram portions of the food item is obtained and results in a sample mean of x 4 9 insect fragments per ten gram portion Complete parts a through c below XXX a Why is the sampling distribution of x approximately normal O A The sampling distribution of x is approximately normal because the population is normally distributed and the sample size is large enough OB The sampling distribution of x is approximately normal because the sample size is large enough OC The sampling distribution of x is approximately normal because the population is normally distributed O D The sampling distribution of x is assumed to be approximately normal b What is the mean and standard deviation of the sampling distribution of x assuming 4 and o 4 H Round to three decimal places as needed Round to three decimal places as needed c What is the probability a simple random sample of 50 ten gram portions of the food item results in a mean of at least 4 9 insect fragments P x24 9 Round to four decimal places as needed Is this result unusual OA This result is unusual because its probability is small OB This result is not unusual because its probability is small OC This result is not unusual because its probability is large O D This result is unusual because its probability is large What might we conclude O A Since this result is not unusual it is reasonable to conclude that the population mean is higher than 4 OB Since this result is unusual it is not reasonable to conclude that the population mean is higher than 4 OC Since this result is unusual it is reasonable to conclude that the population mean is higher than 4 thic rocult is not unusual it is not reasonable to conclude that the population mean is higher than 4

The accompanying data represent the annual rates of return of two companies stock for the past 12 years Complete parts a through k Click here to view the data table Click here to view the table of critical values of the correlation coefficient O C a Draw a scatter diagram of the data treating the rate of return of Company 1 as the explanatory variable Choose the correct graph below O A RR of Company 1 RR of Company 2 0 50 0 00 OYes O No 0 50 0 3 0 0 0 3 RR of Company 2 0 50 0 00 0 50 0 3 0 0 RR of Company 1 0 3 Q point s CICCOB O Above average O Below average The rate of return of Company 2 will be Round to four decimal places as needed OB SOD RR of Company 2 RR of Company 1 0 50 0 00 0 50 0 3 0 30 0 00 0 30 0 0 RR of Company 1 0 3 0 5 0 0 0 5 RR of Company 2 b Determine the correlation coefficient between rate of return of Company 1 and Company 2 The correlation coefficient is Round to three decimal places as needed c Based on the scatter diagram and correlation coefficient is there a linear relation between rate of return of Company 1 and Company 2 Q d Find the least squares regression line treating the rate of return of Company 1 as the explanatory variable y x 0 Round to four decimal places as needed e Predict the rate of return of Company 2 if the rate of return of Company 1 is 0 15 15 f If the actual rate of return for Company 2 was 29 0 when the rate of return of Company 1 was 15 was the performance of Company 2 above or below average among all years the returns of Company 1 were 15 g Interpret the slope For each percentage point increase in the rate of return for Company 1 the rate of return of Company 2 will

point s possible The reading speed of second grade students in a large city is approximately normal with a mean of 88 words per minute wpm and a standard deviation of 10 wpm Complete parts a through f CO a What is the probability a randomly selected student in the city will read more than 94 words per minute The probability is Round to four decimal places as needed Interpret this probability Select the correct choice below and fill in the answer box within your choice A If 100 different students were chosen from this population we would expect per minute OB If 100 different students were chosen from this population we would expect per minute OC If 100 different students were chosen from this population we would expect minute to read less than 94 words to read more than 94 words to read exactly 94 words per b What is the probability that a random sample of 10 second grade students from the city results in a mean reading rate of more than 94 words per minute The probability is Round to four decimal places as needed Interpret this probability Select the correct choice below and fill in the answer box within your choice OA If 100 independent samples of n 10 students were chosen from this population we would expect sample s to have a sample mean reading rate of less than 94 words per minute OB If 100 independent samples of n 10 students were chosen from this population we would expect sample s to have a sample mean reading rate of more than 94 words per minute OC If 100 independent samples of n 10 students were chosen from this population we would expect sample s to have a sample mean reading rate of exactly 94 words per minute c What is the probability that a random sample of 20 second grade students from the city results in a mean read rate of more than 94 words per minute The probability is Round to four decimal places as needed Interpret this probability Select the correct choice below and fill in the answer box within your choice OA If 100 independent samples of n 20 students were chosen from this population we would expect sample s to have a sample mean reading rate of less than 94 words per minute OB If 100 independent samples of n 20 students were chosen from this population we would expect sample s to have a sample mean reading rate of more than 94 words per minute tramples of n 20 students were chosen from this population we would expect

1 Using the frequency distribution below determine the class width Height inches 48 49 99 50 51 99 52 53 99 54 55 99 56 57 99 58 59 99 Answer Frequency 3 8 632 1

At a clothing store Ted bought 4 shirts and 2 ties for a total price of 95 At the same time store Stephen bought 3 shirts and 3 ties for 84 Each shirt was the same price and each tie was the same price Which system of equations can be used to find s the cost of each shirt in dollar and t the cost of each tie in dollars A B 6 s t 95 3 s t 84 4s 2t 95 3s 3t 84 7s 5t 179 s t 12 7s 5t 179 7s 5t 12 s t

Write the equation of the line passing through points 2 2 and 1 0 in slope intercept form

1 The following data set was collected from a survey No Yes No No No Yes No No Yes No No Yes No No No No What is the frequency of the Yes class Answer 3

Directions Solve the system by graphing Line 1 y x 2 Line 2 y x 2

2017 VI 8 2 24

Solve the linear system of equations 3x 2y 7 3x 4y 5 X y

Solve 12z 72 and then plot the solution set on the number line

Solve the 4x 7 A inequality 12x 1 4 B x 3 x 3 12 Or 1 1 x

8 Solve the system of equation y 3x x y 32 A 8 24 B 8 24 C 16 48 D 16 48

Jacklyn s baby brother goes through 18 diapers every 4 days At this rate how many diapers will Jacklyn s baby brother go through days Write a proportion and solve Jacklyn s baby brother will go through diapers in 28 days

1 7 Which ratio forms a proportion with 14 A B D E 9 5 12 22 42 36 Select all that apply

Chip Challenge In 1998 as an advertising campaign the Nabisco Company announced a 1000 Chips Challenge claiming that every 18 ounce bag of their Chips Ahoy cookies contained at least 1000 chocolate chips Dedicated statistics students at the Air Force Academy purchased some randomly selected bags of cookies and counted the chocolate chips Some of their data are given below They noted that the data appear to be normally distributed 1121 1132 1191 1214 1219 1270 1325 Find a 95 confidence interval for the mean number of chips in a bag of Chips Ahoy Cookies Round to one decimal place Based on this confidence interval is the Nabisco Company justified in making this claim O yes O no

A professor samples 9 random TCC students and record their commute times She finds that the average commute time of the 9 students is 13 59 minutes with a standard deviation of 3 5 minutes She also finds that the commute times look like they come from a normal distribution Find a 95 confidence interval for the mean commute time of all TCC students Round to three decimal places

Heart rates A trainer records the maximum heart rates of 8 random cyclists over the course of a workout The numbers are displayed below and heart rate is known to be normally distributed Construct a 99 confidence interval for the average maximum heart rate 161 164 164 173 178 181 183 191 a The confidence interval is Round to one decimal place b Interpret the interval with a sentence We are 99 confident that the average maximum heart rate of these 8 cyclists is in this interval We are 99 confident that the proportion of maximum heart rates of these 8 cyclists is in this interval We are 99 confident that the proportion of maximum heart rates of all cyclists is in this interval We are 99 confident that the average maximum heart rate of all cyclists is in this interval

Cookie Size A cookie fanatic measures the width of 98 Keebler cookies The mean width is 5 20 centimeters Assume that the population standard deviation is 0 3 centimeters a Estimate the average width of Keebler cookies using a 95 confidence interval Round to 3 decimal places b Interpret the confidence interval in context O The cookie fanatic can be 95 confident that any sample of Keebler cookies is in this confidence interval O 95 of all Keebler cookies have a mean width in this confidence interval O The cookie fanatic can be 95 confident that the mean width of all Keebler cookies is in this confidence interval

Age at first marriage The National Survey of Family Growth conducted by the Centers for Disease Control gathers information on family life marriage and divorce pregnancy infertility use of contraception and men s and women s health One of the variables collected on this survey is the age at first marriage The average age at first marriage among 5932 women is 22 3 with a standard deviation of 4 3 NSFG 2010 Construct a 84 confidence interval to estimate the average age at first marriage of women and write a sentence interpreting this interval 84 confidence interval Round to two decimal places Interpretation O The researchers can be 84 confident that the sample mean of the ages at their first marriage is in this confidence interval O The researchers can be 84 confident that the true mean age of all women at their first marriage is in this confidence interval O 84 of women have their first marriage when their age is within our confidence interval O There is 84 chance that true mean is in this confidence interval

One gallon of gas is put into each of 30 test cars The resulting gas mileage values of the sample are computed with mean of 28 5 gallons per mile and a standard deviation of 1 2 miles per gallon What is the 95 confidence interval estimate of the mean mileage 27 36 29 64 28 42 28 58 28 46 28 54 28 1 28 9 27 3 29 7

Evolution and Scientists In a 2014 Pew Research survey of a representative sample of 3748 scientists connected to the American Association for the Advancement of Science AAAS 98 of them 3673 out of 3748 say they believe in evolution Calculate a 95 confidence interval for the proportion of all scientists who say they believe in evolution Round to 3 decimal places

If n 340 and p p hat 0 15 construct a 99 confidence interval Give your answers to three decimals Question p 1

Find the number of different ways that an instructor can choose 7 students from a class of 10 students for a field trip

Assume that a sample is used to estimate a population proportion p Find the 80 confidence interval for a sample of size 224 with 199 successes Enter your answer as an open interval i e parentheses using decimals not percents accurate to three decimal places 80 C I

In right triangle ABC side c 22 and m A 40 Find the lengths of side a and side 6 Round answers to the nearest tenth an 18 5 X b 28 7 X

a x Special triangles Write answers in simplest radical form b 6 y y 60 V 30 21 8 5 V V y X 60 X 5 2 y

a x special triangles Write answers in simplest radical form b 2 3 X y 45 y UI 45 V 21 4 6 V c P X y 6 45 6

In right triangle ABC side a 43 and m A 65 Find the lengths of side band side c c is the hypotenuse Round answers to the nearest tenth b C