Statistics Questions and Answers

Question 20 6 2 2 In a sample of 15 randomly selected high the standard deviation was 165 0 Further school seniors is 1014 Does the t value fo population of test scores for high school s

ntervals Question Parl A publisher wants to estimate the

rvals Question Part You are given the sample moan

c 0 98 s 2 8 n 10 Click the icon to view the t The margin of error is Rour

ervals Qu Find the critical value z ne

Intervals Qu Find the critical value z ne

dule 5 fidence Intervals K Question 11 Part 1 of 3 If all other quantities remain the same a Increase in the level of confidence b Increase in the sample size

rvals Ques Construct the confidence inte c 0 95 x 5 9 G 0 7

tervals Question 1 6 1 1 When estimating a population mean are you mo interval estimate Explain your reasoning

Suppose that you decide to buy a car for 29 635 including taxes and license fees You saved 9000 for a down payment A 49 1 and can get a five year car loan at 6 19 Use PMT for the loan 0 to find the monthly payment and the total interest

The data given to the right includes data from 37 that makes the candy claims that 30 of its can 95 confidence interval estimate of the percent

3 Savanah and her friend survey everyone at the Bernstain Bears exhibit and everyone at the Wegmans exhibit

2 Savanah surveys every 20th person who enters the museum

Use a calculator or computer software to generate a normal quantile plot for the data in the accompanying table Then determine whether the data come from a normally distributed population Click the icon to view the data set Generate a normal quantile plot for the data Choose the correct graph below OC 300 2 00 HD D 1 00 0 00 1 00 2 00 6 100 200 300 400 500 X Value OA 3 00 2 00 1 00 0 00 1 00 2 00 3 00 Tri 0 100 200 300 400 500 X Value OB 3 00 2 00 1 00 0 00 1 00 2 00 3 00 0 100 200 300 400 500 X Value 3 00 Determine whether the data come from a normally distributed population Choose the correct answer below A The distribution is not normal The points show a systematic pattern that is not a straight line pattern B The distribution is not normal The points are not reasonably close to a straight line OC The distribution is normal The points show a systematic pattern that is not a straight line pattern D The distribution is normal The points are reasonably close to a straight line and do not show a systematic pattern that is not a straight line pattern Q

The value given below is discrete Use the con Probability of more than d

Express the confidence interval 0 111 p 0 333 in the form p E F

Here are the test scores for 15 students in Mr M s class 86 76 47 51 67 58 83 87 77 88 82 84 65 34 71 What is the percentage of these test scores that are less than 71 o

Here are the heights in inches of 10 students in a seminar 60 70 58 68 63 69 67 58 61 64 What is the percentage of these students who are shorter than 65 inches

There are three students running for president Linda Maria and Ann There are two students running for vice president Bob and John There are two students running for treasurer Amanda and Jessica The tree diagram below shows the possible outcomes Use the diagram to answer the questions President Vice President Treasurer Amanda Jessica Amanda Jessica Amanda Jessica Amanda Jessica Amanda Jessica Amanda Jessica Linda Maria Ann Bob John Bob John Bob John a How many outcomes are there outcome s Outcome Linda Bob Amanda Linda Bob Jessica c How many outcomes do not have Ann being chosen outcome s Linda John Amanda Linda John Jessica Maria Bob Amanda Maria Bob Jessica Maria John Amanda Maria John Jessica Ann Bob Amanda Ann Bob Jessica Ann John Amanda Ann John Jessica b How many outcomes have both Bob and Jessica being chosen outcome s

Another spinner has three sections They are marked 1 2 and 3 A third spinner has two sections One is green and one is pink The three spinners are spun The tree diagram below shows the possible outcomes Use the diagram to answer the questions First spinner Second spinner Third spinner A B 1 2 3 2 3 a How many outcomes are there outcome s b How many outcomes involve landing on 1 or 2 outcome s green pink green pink green pink green pink green pink green pink Outcome A 1 green A 1 pink A 2 green A 2 pink A 3 green A 3 pink B 1 green B 1 pink B 2 green B 2 pink B 3 green B 3 pink c How many outcomes involve landing on A and an odd number outcome s

There are three crusts to choose from thin regular and pan There are three toppings to choose from pepperoni sausage and mushrooms The tree diagram below shows the possible outcomes Use the diagram to answer the questions Crust thin regular pan Topping pepperoni sausage mushrooms pepperoni sausage mushrooms pepperoni sausage mushrooms Outcome thin pepperoni thin sausage thin mushrooms regular pepperoni regular sausage regular mushrooms pan pepperoni pan sausage pan mushrooms a How many outcomes are there outcome s b How many outcomes have both regular crust and mushrooms being chosen outcome s c How many outcomes have thin crust or pan crust being chosen outcome s

Qwan Corporation has four departments The double bar graph below shows how many male and female employees are in each department Use this graph to answer the questions Number of employees 300 250 200 150 100 50 0 Advertising Sales Production Accounting Department a Estimate the number of females in Production females O Advertising b Which departments have more males than females Check all that apply O Advertising Sales c Which department has the most employees total O Production O Sales Males O Production Females O Accounting O Accounting

Evaluate P and co 5 If necessary consult a list of formulas P 85 C 7 0 0

Evaluate 5 3 7 4 Simplify your answer as much as possible 0 8 08

ility Que emales have pulse rates that are lete parts a through c below

Probability Que esearcher collects a simple random sample C

new Question 30 fer to the data set below body mass index of men a uirement is loose in the sense that the population dis h only one mode 30 8 26 9 19 7 31 9 26 2 24 2 28 2 26 4 27 7 22 8 33 1 24 6 26 5 23 5 21 7 25 9 27 2 21 0

Probability in the blank e reases Question 34 6 4 F tells us that for a population with any distribution th

Question 27 6 5 RA 2 Fill in the blank A is a graph of points x y where ea each y value is the corresponding z score that is a qu A his a graph of points x y whe

lew Qu e distribution of room and board expens 1125 Random samples of size 20 are penses would be considered unusual

new hat happens to the mean and stand A The mean of the sample mea

W Que me that the salaries of elementary sch 000 If 100 teachers are randomly sele

il new he mean percent of childh hat the mean childhood as

Normal on Homew K The scores on a mathematics ex the answer to the nearest tenth

W ose the correct choice below Question 19 5 4 6 ermine whether the statement is true or false If it is false re he size of a sample increases the standard deviation of the

mal lomew Assume that the heights of women ar randomly selected find the probability

nal lomew IQ test scores are normally distribute

rmal Homew Assume that the random varia

A 0 7193 3 0 8944 C 0 5843 D 0 6978

Question 12 sed on historical data at O gularly For this year you w not visit their advisors reg

Question 4 For each question below please select the sampling method that most close You may use each method more than once a You want to investigate the voter s opinions on an upcoming issue for your registered voters and randomly select 100 names You contact each of the ra for their opinion Select an answer b You work for a company as a quality control specialist You want to check products for defects Your factory has 5 different assembly lines At the end choose two of the assembly lines and inspect each item produced by that ass Select an answer c You want to investigate the voter s opinions on an upcoming issue for your has 12 different neighborhoods You randomly select 10 registered voters fro contact them to ask for their opinion Select an answer d There are 35 rides at a large theme park and a team of journalists wants The journalists randomly chooses 5 of the rides and interview all of the peop

e data you collect is Habits on a Always Sometimes Ne tative ative Message instructor estion entist surveys 30 of the current 123 representatives in e size of the sample

Table 14 9 Suppose that a firm in a competitive market faces the following revenues and cos Quantity 10 1 15 16 17 18 19 Total Revenue SO 8 16 24 32 40 48 56 64 72 Total Cost 5 9 14 20 27 35 44 54 65 72 Refer to Table 14 9 If the firm produces 3 units of output O total revenue is greater than variable cost Omarginal cost is 4 marginal revenue is less than marginal cost the firm is maximizing profit

Q4 Amazon AWS has a customer service center at Dearborn handling calls from customers encountering system issues The center operates 24 hours a day seven days a week Managers at the center also expect the number of customer calls to follow a Poisson distribution and have an average of 480 calls per day 1 Calculate the average number of calls in a one hour interval a 30 minutes interval and a 5 minutes interval 2 What is the probability of having ten calls during a 30 minutes interval express the PMF formula and parameter values used clearly 3 What is the probability of no calls during a 5 minutes interval express the PMF formula and parameter values used clearly 4 What is the probability of equal or more than two calls in a 5 minutes interval express the PMF formula and parameter values used clearly 5 How to obtain the probability that at least two calls during a 5 minutes interval using Excel express the Excel formula clearly

3 pairs of trousers and 2 belts How many possible outfits can he pick if he selects one shirt one pair of trousers and one belt a Solve using the Multiplication Principle b Solve using a Tree Diagram Solution 3 pts Solution 4 pts 7 Two dice are rolled What is the probability of getting an even on both dice Hint List all the Outcomes and then highlight the solutions Solution 8 pts

Q3 In the University of Michigan Dearborn about 33 of undergraduates plan to pursue a graduate degree later If we randomly select 15 UMD undergraduate students and ask them whether they want to pursue a graduate degree 1 What is the probability that exactly five of the students plan to pursue a graduate degree express the PMF formula and parameter values used clearly 2 What is the probability that less than two of the students plan to pursue a graduate degree express the PMF formula and parameter values used clearly 3 What is the probability that equal or more than seven but less than and equal nine of the students plan to pursue a graduate degree express the PMF formula and parameter values used clearly 4 How to obtain the probability that exactly ten students plan to pursue a graduate degree using Excel express the Excel formula clearly anubi

A group of 2472 students were surveyed about the courses they were taking at their college with the following results 1 Dance IV II V VII History VI Math III 1310 students said they were taking Math 1285 students said they were taking Dance 1406 students said they were taking History 673 students said they were taking Dance and History 587 students said they were taking Dance and Math 677 students said they were taking Math and History 327 students said they were taking all three courses VIII

A spinner with s equally sized slices has 3 red slices 1 yellow slice and 1 blue slice Jina spun the dial 1000 times and got the following results Outcome Red 0 Number of Spins 626 0 b Assuming that the spinner is fair compute the theoretical probability of landing on blue or yellow Yellow c Assuming that the spinner is fair choose the statement below that is true Answer the following Round your answers to the nearest thousandths a From Jina s results compute the experimental probability of landing on blue or yellow 188 With a large number of spins there must be no difference between the experimental and theoretical probabilities With a large number of spins there might be a difference between the experimental and theoretical probabilities but the difference should be small With a large number of spins there must be a large difference between the experimental and theoretical probabilities Blue 186 X An

A family is going to give out candy at Halloween They have a bucket filled with the following candy 8 Snickers 10 Milky Ways 12 Reeses 8 Kit Kats 12 Hersheys If three children come to th house for candy find the probability of the family giving out the following candy without replacement a all 3 are Reeses Round answer to 3 decimal places b the first is a Milky Way the second is a Hershey the third is a Snickers Round answer to 3 decimal places c None of the three kids gets a Milky Way Round answer to 3 decimal places

TechWiz Entertainment sells four types of products CDs radios video games and DVDs The numbers sold for 2021 and 2022 are shown in the double bar graph below Use this graph to answer the questions Number sold 1200 1000 800 600 400 200 0 CDs Radios Video games DVDs Product a Estimate the number of DVDs sold in 2021 DVDS CDs 2021 b Which products sold more in 2022 than in 2021 Check all that apply O video games c Estimate the total number of radios sold in the two years radios radios 2022 DVDs R M