Statistics Questions and Answers

ng entify the data set s level of measurement arriage status married single or divorced A interval P Question 25 1 2 ratio

ling Question 14 1 2 24 Part 1 of 2 The graph to the right shows the annual number of fatalitie certain years Identify the level of measurement of the data and vertical axes in the figure

npling Question 22 1 3 23 Part 1 of 2 Identify the sampling techniques used and discuss pot In 1965 researchers used random digit dialing to call 9 What type of sampling was used

ampling n Question 11 1 2 Determine whether the variable is qualitative Favorite musical band Is the variable qualitative or quantitative Fx

mpling Question 8 1 1 47 A study of 850 senior citizens shows that participants wh ability than those who barely exercise at all From this stu more you exercise What is wrong with this type of reaso

sign In the volue Ques Determine whether the underl In a national survey of high so reported that someone had of

pling Question 2 1 1 23 Part 1 of 2 Use the Venn diagram to identify the population The and the sample

J Question 15 1 2 Part 1 of 3 is an inhorontzoro Doceribe throg ov

ng Question 3 1 1 25 Part 1 of 2 a poll 1 004 women in a country were asked whe edical research using stem cells obtained from hu or Identify the population and the sample

ng Question 1 1 1 4 hat are the two main branches of statistics he two main branches of statistics are sample

PRES CONSIDE PEN PEN Senet Kerrmann MIL Consumer Crezil Outstanding 2015 1 mance Companies Month Consumer Credit Outstanding Millions of Doll si 543 835 186 729 NIT SIN IMPIN NIM CINCUENT LYNNU SIDUESEN SSZONT PRODUSE TWEE EK II TOOTE LIKMPSTYVINIUOSEPETUS PORNOS SON 11 5 ZOBUS Nasehold Iname indlZR Income Ranke SZUKUNTE PEST PE REFOOT 683 934 676 190 674 938 Number of Household SIUNORRS 8 380 364 6 2 4 548 12 468 604 1929 76 13 723 148 20 74404 Us Unmukres UETAS INTH UnemploymeIRAN 15 55 55

Classify the following graph as a cross section

swer L 2013 U S Household Income and Benefits Income Range Number of Households Less than 10 000 8 380 364 10 000 to 14 999 6 214 548 15 000 to 24 999 25 000 to 34 999 35 000 to 49 999 50 000 to 74 999 Source Holder Consumer Credit Outstanding January 2012 12 468 604 11 929 761 15 723 148 20 744 045 Census Bureau Commercial Banks Finance Companies Credit Unions Federal Government Savings Institutions Nonfinancial Business Industry Jewelry Stores Furniture Stores Clothing Stores Gasoline Stations Grocery Stores Millions of Dollars 1 088 882 683 934 225 486 515 221 92 112 73 143 Source Board of Governors of the Federal Reserve System Sales January 2015 Sales Millions of Dollars 4 8206 4371 11 543 32 002 50 652

ple Question 21 8 3 19 T Part 1 of 4 d manufacturer claims that eating its new cereal as part of a daily diet lo cholesterol levels in milligrams per deciliter of blood of seven patients as part of their diets Use technology to test the mean difference Assu ation is normally distributed At a 0 05 can you conclude that the new nt 1 2 200 220 192 219 Blood Cholesterol Before Blood Cholesterol After

Sample new Question 15 8 2 15 T Part 1 of 4 A researcher claims that the stomachs of blue crabs from The stomach contents of a sample of 16 blue crabs from L 38 milligrams The stomach contents of a sample of 7 blue deviation of 45 milligrams At a 0 10 can you support the parts a through d below

ple nstruct a confidence interval for the difference between ation standard deviations are known and either both p es must be randomly selected and independent x x Zc Question 9 8 1 29 T 0 0 2 n n H H X X Zo

imple Question 19 8 3 3 T Part 1 of 4 st the claim below about the mean of the differences for a population e random and dependent and the populations are normally distribute aim d 0 0 01 Sample statistics d 1 4 s 3 5 n 15 ntify the null and alternative hypotheses Choose the correct answer

Sample W Question 20 8 3 18 T Part 1 of 7 Player Completion percentage freshman Completion percentage sophomore The pass completion percentages of 10 college football quarterba below At a 0 10 is there enough evidence to support the claim a through e below 1 2 3 4 5 6 68 2 62 9 57 2 61 0 62 9 51 0 68 1 56 9 64 0 61 8 61 6 58 7

mple Question Part 1 e the t distribution table to find the critical and n Assume that the samples are ind Ha H 0 01 n 15 n 8

le Question 16 8 2 17 Part 1 of 8 nnel director in a particular state claims that the mean an er county county B In County A a random sample of 12 n of 8300 In County B a random sample of 10 residents At a 0 005 answer parts a through e Assume the po lem

Sample new A pet association claims that the mean annual cost of food fo of pets are shown below At a 0 10 can you reject the pet a Assume the samples are random and independent and the p below X1 S1 Dogs Question 14 8 2 13 T Part 1 of 8 271 41 Cats X2 236 S 37

Sample W Questic Part Explain what the symbols d and so represe What does the symbol d represent DA The mean of the differences betwe

ple Question 2 conditions are necessary in order to use t t all the necessary conditions below

Question 4 8 1 6 he two given samples as independent or dependent The test scores of 45 students who had less The test scores of 50 students who had at le

ole Question 8 8 1 2 why the null hypothesis Ho is equivale e the correct answer below The values of u and un are equivalent in oven

mple Question 7 8 1 15 Part 1 of 7 compare the dry braking distances from 30 to 0 miles per hour for 35 models of Make A and 35 models of Make B The mean brakin riation is 4 7 feet The mean braking distance for Make B is 47 fee the engineer support the claim that the mean braking distances random and independent and the populations are normally distri k here to view page 1 of the standard normal distribution table k here to view page 2 of the standard normal distribution table

imple Question 1 8 1 2 kplain how to perform a two sample z test for the difference be own

The graph below shows the percentage of winners of a horse race that have run slower than a given speed Complete parts a through e to the right Below 100 90 80 70 60 50 40 30 20 10 0 30 31 32 33 34 35 36 37 38 Winning Speed mph F a Estimate the median winning speed The median winning speed is mph Round to one decimal place as needed

Comment on each graph talk about mean mode median standard deviation and kewness m A

Question 6 A student in a statistics class investigated if students yawn more in some classes than others She visited three and recorded the number of times each student yawned The data she collected is summarized in the dotplots b History Students 0 1 5 3 4 Number of Yawns 2 0 6 1 2 0 Art Students 5 3 4 Number of Yawns hich of the following is the best comparison of the centers of the three distributions 1 2 En Nur 6

In a jury trial suppose the probability the defendant is acquitted given innocence is 9 Create a tree diagram starting with the pro side a What is the probability the defendant is

An Agriculture Department study of more than 94 000 samples from more than 20 crops showed that 76 of conventionally grown foods had residues from at least one pesticide Moreover conventionally grown foods were six times as likely to contain multiple pesticides as organic foods Of the organic foods tested 28 had pesticide residues which includes 10 with multiple pesticide residues Compute two estimated probability distributions one for conventional produce and one for organic produce showing the relative frequencies that a randomly selected product has no pesticide residues has residues from a single pesticide and has residues from multiple pesticides Probability distribution for conventionally grown produce No Pesticide Single Pesticide Multiple Pesticide 0 56 X 0 20 X Outcome Probability 0 24 Probability distribution for organic produce No Pesticide Single Pesticide 0 18 Outcome Probability 0 72 Multiple Pesticide 0 10

For the table below determine whether an exponential function is a good model see this section s concept byte 2 1 0 1 Y 00556 01667 05 15 45 Select one a Yes O b No K

The boxplot below shows salaries for Actuaries and CPAs CPA Actuary H 20 30 40 50 60 70 80 90 100 110 Salary thousands of Q Makayla makes the minimum salary for an Actuary Neveah makes the median salary for a CPA Who makes more money O Neveah O Makayla How much more

a Find a power function that models the data b Find a linear function that models the data E Visually determine which function is the better fit for the data a The power function is y 3 56 Use inter 1 3 SEXXY X x 1 213 4 5 6 y 9722 11 21 32 45 n

set Ex2 814 y 85 y2 1 351 xy 1 039 a Find the line of best fit Round your answers to one decimal place x Ex 64 b Predict the value of y when x 14 Round your answer to one decimal place y c Predict the value of x when y 18 Round your answer to one decimal place X d Find the coefficient of linear correlation Round your answer to three decimal places e Are the predictions in parts b and c reliable Why or why not O No they are not reliable since the correlation coefficient is close to 0 O No they are not reliable since the correlation coefficient is close to 1 O Yes they are reliable since the correlation coefficient is close to 1 O No they are not reliable since the the slope is close to 1 O Yes they are reliable since the the slope is close to 1

Next Which of the following is not a condition or a binomial experiment O There are a fixed number of trials Each trial of the experiment is independent O There are only two trials O There are only two possible outcomes for each trial

Which of the following is not a simple event O FF O MMM O 1618 O 1 2 3 4 5 6

A sample space is O an event that includes only one of the final outcomes of an experiment O a subset of a population the collection of all possible outcomes of an experiment O the collection of one or more outcomes of an experiment

the number of phone calls made each hour by all employees at a company P x 0 1 0 16 0 38 0 02 0 34 O 0 1 00 34 O 0 02 The probability that a randomly selected employee makes exaclty 0 phone calls per hour is O 0 38 X 0 1 2 0 0 02 O 0 97 3 4 F The probability that a randomly selected employee makes at most 3 phone calls per hour is 0 0 66 O 0 64 probability that a randomly selected employee makes at least 2 phone calls per hour is 0 52

Two complementary events O together include all outcomes of an experiment Oare mutually non exclusive O always have at least one common outcome O are always independent

In an upcoming national skiing competition 10 downhill skiers will be competing How many different ways can 5 downhill skiers finish the competition first through fifth 50 05 30240 252

A recent campus poll found that 29 of all students at IRSC are dual enrolled Determine the probability that 7 or 9 students out of a random sample of 15 students are dual enrolled Use the Binomial probability formula or the binomial probability table if possible to solve O 0 3529 0 081

If the events A and B are mutually exclusive then which of the following is guaranteed to be true OP A and B 0 O A and B are independent OP A and B 1 OP A or B 0

The probability that a student is an athlete is 0 05 Suppose two students are chosen at random Determ the probability that the first student selected is an athlete and the second student selected is not an athlete Hint these two events are independent O 0 0475 O 0 7278 O 0 0025

Business Costs MC The daily production costs for a golf ball manufacturer can be modeled with the function C x 0 1x 7x 140 where C x is the total cost and x is the number of golf balls produced per hour Use the graph to answer the question 150 100 50 100 0 50 number of golf balls produced Which statement shows the correct relationship between production cost and number of golf balls produced OThe minimum production cost of 17 5 occurs when 35 golf balls are produced OThe minimum production cost of 140 occurs when 0 golf balls are produced The production cost of 30 golf balls is greater than the production cost of 50 golf balls

Business Costs LC A basket manufacturing company produces 83 575 woven baskets each year Determine the minimum sales price the company must sell each basket for to make a profit of 100 000 if the total annual fixed costs are 817 363 50 and the variable cost per basket is 12 17 O 10 98 O 21 95 O 23 15

Calculating Net Worth MC The assets and liabilities of a credit union banker are listed below Car Value Car Loan Savings Account Balance Treasury Bonds Student Loans Credit Card Balance Home Value 29 850 O 219 869 10 560 247 517 12 409 10 000 Checking Account Balance 19 419 13 824 8 051 What is the total net worth if the banker pays off the student loans 194 450

Federal Income Taxes and Piecewise Functions MC A local candy shop sells boxes of chocolate for 3 75 each If a customer purchases six or more boxes the cost is only 3 25 per box plus the customer has an additional 5 fee per order C x represents the total cost and x represents the number of boxes which can be modeled by the function below 3 75x 3 25x 5 X 6 x26 Predict the cost of an order with 6 boxes C x 14 50 22 50 24 50 27 50

estion 3 Multiple Choice Worth 1 points ness Costs MC all theatre s profit P X from selling concert tickets is P x 15x 60x 30 where x is the number of 2 price increases of each 80 60 40 20 0 2 number of price increases w many price increases maximized the theatre s profit