Statistics Questions

MAKE SURE YOU USE CORRECT NOTATIONS 1 4 0 5 1 5 2 Consider the following sample data set X 22 23 24 25 26 f early systematically and understandably 4 6 9 11 8 a Find the mode b Find the median c Find the mean by extending the table above and then show your computation below

2 6 24 Consider the following population data set X 16 22 2329 30 36 37 43 f 20 28 26 21 Find the mean by extending the table above and then show your computation below Find the variance by extending the table above and then show your computation below

IQ scores for the general adult population form a nearly normal distribution with mean 100 pts and standard deviation 15 pts Verify that the 68 95 99 7 rule works for this distribution The distribution is graphed below and each box represents 1 of the data 60 Figui nities for falling within 1 2 and 3 standard deviations of the mean in a normal distribution 70 b P x 70 pts 80 d P 85 x 115 90 100 Using the 68 95 99 7 rule find each of the following probabilities a P x 130 pts P a randomly selected person scores 130 pts or higher Insert your answer here i i 110 120 i Insert your answer here c P a person is more than 15 points different from the average in either direction i Insert your answer here Insert your answer here 130 140

Problem 4 Normal distribution example Weights of German Shepherds form a nearly normal distribution with a center of 80 The distribution of weights is graphed below Note Have you noticed that many of the simulations that we have done thus far in the class have had a mound shaped sampling distribution just like the one below The mound shaped distribution that we have been running into in our simulations is called the normal distribution We will spend more time getting to know this distribution throughout the remainder of the course Normal Distribution 0 03 0 025 0 02 0 015 0 01 0 005 0 30 50 70 90 110 130 a What is the probability that a German Shepherd will weigh between 70 and 110 lbs Insert your answer here b What is the probability that a German Shepherd will weigh less than 70 lbs Insert your answer here 150 c What is the probability that a German Shepherd will weigh more than 110 pounds Insert your answer here d If you happened to find a 120 pound dog at the Humane Society do you have evidence to believe that the dog is not a pure German Shepherd Why or why not i Insert your answer herel

A small college tracks the ages of students who seek out a student advisor during the second week of the fall term The histogram below shows the percent of students who fell into each age group 0 25 0 2 0 15 0 1 0 05 0 0 07 0 18 0 15 17 to 17 9 18 to 18 9 19 to 19 9 0 1 0 18 20 to 20 9 21 to 21 9 Ages of students 0 22 0 1 22 to 22 9 23 to 23 9 a What is the probability that a student seeking advice will be 18 or under Insert your answer here i b What is the probability that a student seeking advice will be 20 or over Insert your answer here i c What is the probability that the student will be at least 18 and strictly under 22 Insert your answer here

Assume that there is a 7 rate of disk drive failure in a year a If all your computer data is stored on a hard disk drive with a copy stored on a second hard disk drive what is the probability that during a year you can avoid catastrophe with at least one working drive b If copies of all your computer data are stored on four independent hard disk drives what is the probability that during a year you can avoid catastrophe with at least one working drive a With two hard disk drives the probability that catastrophe can be avoided is Round to four decimal places as needed C 1

When testing for current in a cable with ten color coded wires the author used a mete to test five wires at a time How many different tests are required for every possible pairing of five wires

Choose the appropriate scatterplot for the points in the table X 0 1 1 2 2 3 4 4 8 5 4 3 2 T y 1 1 5 1 6 2 2 7 3 4 3 5

10 8 6 4 Linear function Quadratic Function None of these Exponential Function 14 12 ON 10 8 16 4 2 2 40 16 ob 8 10 0 X 8 10

Write an equation in the form y mx b for the average gas mileage y miles per gallon of a car driven at a speed of x mph miles per hour Use the data points 0 65 and 90 20 to find the equation Then use the equation to predict the gas mileage when the car is driven at 50 mph y x 65 gas mileage at 50 mph is 40 miles per gallon Oy 2x 65 gas mileage at 50 mph is 40 miles per gallon Oy x 65 gas mileage at 50 mph is 40 miles per gallon Oy x 65 gas mileage at 50 mph is 45 miles per gallor

Mean 72 standard deviation 19 a What is the probability that student 53 b What is the probability that student 37 c What is the probability that student between 25 and 50 d What value is exceeded by 95 of observations e 1 of observations is below what value f Between what two values around the mean 98 of observations fall g Between what two values around the mean 90 of observations fall h com pare parts f and g

A sign on the pumps at a gas station encourages customers to have their oil checked and claims that one out of 7 cars needs to have oil added If this is true what is the probability of each of the following A One out of the next four cars needs oil Probability B Two out of the next eight cars needs oil Probability C 10 out of the next 40 cars needs oil Probability

For the data given below answer parts a through f 17 15 14 119 117 129 OA 30 X y 20 99 150 001 0 N OB 30 10 139 150 001 0 L OC 30 b Find the equation of the line containing the first and the last data points 150 00 0 47 D 30 150 90 Q

Suppose the number of cars in a household has a binomial distribution with parameters n 23 and p 75 Find the probability of a household having a 9 or 13 cars b 11 or fewer cars c 16 or more cars d fewer than 13 cars e more than 11 cars Note You can earn partial credit on this problem

A rock concert producer has scheduled an outdoor concert The producer estimates the attendance will depend on the weather according to the following table Weather Attendance Probability wet cold 3000 0 2 wet warm 25000 0 2 dry cold 20000 0 2 dry warm 50000 0 4 a What is the expected attendance answer b If tickets cost 10 each the band will cost 250000 plus 60000 for administration What is the expected profit answer

Use the ogive to approximate a the number in the sample b the location of the greatest increase in frequency Male Beagles Cumulative frequency 55 50 45 40 35 30 25 20 15 10 5 0 and F 20 5 23 5 26 5 29 5 32 5 35 5 Weight in pounds Q C a The approximate number in the sample is b Choose the correct location of the greatest increase in frequency below OA 34 5 35 5 pounds OB 21 5 22 5 pounds O c 28 5 29 5 pounds OD 24 5 25 5 pounds

In the United States voters who are neither Democrat nor Republican are called Independent It is believed that 13 of voters are Independent A survey asked 38 people to identify themselves as Democrat Republican or Independent A What is the probability that none of the people are Independent Probability B What is the probability that fewer than 7 are Independent Probability C What is the probability that more than 2 people are Independent Probability

Sam is applying for a single year life insurance policy worth 45 400 00 If the actuarial tables determine that she will survive the next year with probability 0 991 what is her expected value for the life insurance policy if the premium is 352 00 Note Include dollar signs in your answer

Determine whether the following are valid probability models or not Type VALID if it is valid or type INVALID if it is not a Event el ez e3 e4 Probability 0 2 0 7 0 0 1 Answer b Event e1 e2 e3 C4 Probability 0 0 1 0 31 2 Answer

Find the expected value for the random variable E X 0 X 2 P X 0 23 4 5 7 0 19 0 1 0 48

A firm has classified its customers in two ways according to whether the account is overdue and whether the account is new less than 12 months or old An analysis of the firm s records provided the input for the following table of joint probabilities One account is selected at random A If the account is overdue what is the probability that it is new B If the account is new what is the probability that it is overdue Overdue Not overdue 0 03 New Old 0 51 0 15 0 31

Suppose that A and B are two events for which P A 0 21 P B 0 84 and P A and B 0 26 Find P AB P A B

Suppose that A and B are two independent events for which P A 0 26 and P B 0 84 Find each of the following A P A B B P BA C P A and B D P A or B

High Temperatures F Class 15 25 Frequency f 17 15 25 26 36 37 47 48 58 59 69 70 80 81 91 26 36 41 17 41 66 67 85 66 23 Complete the table below High Temperatures F Round to the nearest hundredth as needed Relative Cumulative Class Frequency f Midpoint frequency frequency 37 47 66 JUDUL 48 58 59 69 70 80 81 91 67 85 66 23

2 Diego is collecting dimes and nickels in a jar He has collected 22 25 so far The relationship between the numbers of dimes and nickels and the amount of money i dollars is represented by the equation 0 10d 0 05n 22 25 Select all the values d n that could be solutions to the equation a 0 445 b 0 50 435 233 21 d 118 209 e 172 101 C

Identify all true statements about the correlation coefficient r The value of r ranges from negative one to positive one When the data points in a scatter plot fall closely around a straight line that is either increasing or decreasing t correlation between the two variables is strong The sign of r describes the direction of the association between two variables If two variables are negatively correlated when one variable increases the other variable also increases A correlation coefficient of zero means that no relationship exists between the two variables The correlation coefficient is not affected by outliers

Tax deferred annuities pay no taxes on the income placed into the account but then pay taxes on all the money when it is withdrawn Nondeferred plans pay taxes on the income prior to depositing the money into the account and then only pay taxes on the interest earned by the account The table below shows the amount set aside in an ordinary annuity each month the c tax rate the number of years that contributions will be made to the annuity and the tax rate when withdrawals from the annuity are made Complete parts a through c Current Tax Future Tax Rate Rate 21 21 Monthly Number of Annual Interest Years Payment 300 35 Rate 5 a Find the value of the tax deferred and the nondeferred accounts The future value of the tax deferred account is The future value of the nondeferred account is Round the final answer to two decimal places as needed Round all intermediate values to six decimal places as needed

If you are going to buy a new copier for your small business that costs 12 000 are you better off paying cash for it or making five yearly payments of 3 000 at the end of each year Think about the future value of investing the lump sum of 12 000 versus the value of investing the 3 000 each year in an annuity and consider two cases one where you earn 2 on your investments and one where you earn 9 COL After five years if the 12 000 cash is invested at 2 the total value of the account would be If it is invested at 9 the total value of the account would be If the 3 000 payments are invested at 2 the total value of the account would be If they are invested at 9 the total value of the account would be Therefore at 2 less would be paid by paying cash and at 9 less would be paid by making payments Round to the nearest cent as needed

1 On January 1 Boston Enterprises issues bonds that have a 2 100 000 par value mature in 20 years and pay 7 interest semiannually on June 30 and December 31 The bonds are sold at par nts eBook Hint Print References 1 How much interest will the issuer pay in cash to the bondholders every six months 2 Prepare journal entries to record a the issuance of bonds on January 1 b the first interest payment on June 30 and c the second interest payment on December 31 3 Prepare the journal entry for issuance assuming the bonds are issued at a 98 and b 102 Complete this question by entering your answers in the tabs below Required 1 Required 2 Required 3 Check my work How much interest will the issuer pay in cash to the bondholders every six months Par maturity Value Semiannual Rate Semiannual Cash Interest Payment

1 Excerpts from Dowling Company s December 31 2024 and 2023 financial statements and key ratios are presented are in millions 00 34 52 Accounts receivable net Net sales Cost of goods sold Net income 2024 Multiple Choice 17 127 72 17 5 80 11 4 2 48 Inventory turnover Return on assets Equity multiplier Dowling s return on equity for 2024 is closest to 2023 28 112 67 29 2

A quick quiz consists of 4 multiple choice problems each of which has 4 answers only one of which is correct If you make random guesses on all 4 problems a What is the probability that all 4 of your answers are incorrect answer b What is the probability that all 4 of your answers are correct answer

83 Compute the probabilities a Plyou will get a chicken breast b Plyou will get a 17 oz chicken breast c P you will get a chicken breast or you will not get a 17 oz pork chop d P you will not get a chicken breast and you will get an 18 oz pork chop e P you will get a piece of meat that is not 21 oz f P you will get a piece of chicken that is not 21 oz g Plyou will not get a chicken breast and you will not get a pork chop

There are 15 958 866 adults in a region If a polling organization randomly selects 1235 adults without replacement are the selections independent or dependent If the selections are dependent can they be treated as independent for the purposes of calculations CREZID Are the selections independent or dependent O A The selections are dependent because the selection is done without replacement OB The selections are independent because the selection is done without replacement OC The selections are dependent because the sample size is not small relative to the population OD The selections are independent because the sample size is small relative to the population

Complete the following statement P A or B indicates Choose the correct answer below O A the probability that A and B both occur in the same trial OB the probability that event A or event B does not occur in a single trial OC the probability that event A occurs in one trial followed by event B in another trial O D the probability that in a single trial event A occurs event B occurs or they both occur

ASKHIS approach and include short explanations in each step Mssy Question 1 3 pts The breakdown of U S cities having a population of at least 10 000 persons has been reported as follows Population 10 000 under 25 000 25 000 under 50 000 50 000 under 100 000 100 000 under 250 000 250 000 under 500 000 500 000 under 1 000 000 1 000 000 or more Number of cities 1510 684 430 191 37 25 9 a Convert the table to a histogram Convert the table to a relative frequency distribution polygon Convert the table to a cumulative frequency distribution table

2 In a study of drug inducted anaphylaxis among patients taking rocuronium bromide as part of their anesthesia Laake and Rottingen A 7 found that the occurrence of anaphylaxis followed a Poisson model with 14 incidents per year in Norway Find the probability that at least two patients in the next will experience anaphylaxis if rocuronium is administered with anesthesia

When randomly selecting adults let M denote the event of randomly selecting a male and let B denote the event of randomly selecting someone with blue eyes W does P MIB represent Is P MIB the same as P BIM What does P MIB represent OA The probability of getting a male given that someone with blue eyes has been selected OB The probability of getting a male and getting someone with blue eyes OC The probability of getting someone with blue eyes given that a male has been selected OD The probability of getting a male or getting someone with blue eyes

Fill in the blank The classical approach to probability requires that the outcomes are The classical approach to probability requires that the outcomes are

he sample space listing the eight simple events that are possible when a couple has three children is bbb bbg bgb bgg gbb gbg ggb ggg After identifying the ample space for a couple having four children find the probability of getting two girls and two boys in any order D dentify the sample space for a couple having four children bbbbbbbg bbgb bbgg bgbb bgbg bggb bggg gbbb gbbg gbgb gbgg ggbb ggbg gggb gggg Use a comma to separate answers as needed Find the probability of getting two girls and two boys in any order Type an integer or a decimal Do not round

Question 3 4 pts gardening According to the hit counter that records daily visitors to her site the numbers of visits during Erika operates a website devoted to providing information and support for persons who are interested in a 20 days have been as follows 65 36 50 70 37 55 63 59 68 55 43 71 1 Determine the a mean b median and c mode 2 Determine a the range b the mean absolute deviation c the variance and d the standard de Mean Median Mode 1 The range an absolute deviction

for a procedure consists of all possible simple events or all outcomes that cannot be broken down any further for a procedure consists of all possible simple events or all outcomes that cannot be broken down any further

It is impossible to get 5 aces when selecting cards from a shuffled deck Express the indicated degree of likelihood as a probability value between 0 and 1 inclu The probability is Type an integer or a decimal

This question 2 point s possible A student study of the effects of caffeine asked volunteers to take a memory test 2 hours after drinking soda Some drank caffeine free some drank regular and others drank a mixture of the two getting a half dose of caffeine The 5 number summaries for each group s scores number of items recalled correctly on the memory test are shown below Complete parts a through d No Caffeine Low Caffeine High Caffeine SERVIC OA Scores 30 n 15 15 HOH HOH 15 HOCH NLH Min 16 15 13 b Name the variables and classify each as categorical or quantitative The two variables are the type of drink c Create side by side boxplots to display these results as best you can with this information Create side by side boxplots where N represents the group with no caffeine L the group with low caffeine and H the group with high caffeine Choose the correct graph below O C Q Q and the test score OB Scores 30 25 Q1 17 18 15 KOCH HOHO N y HO H Q ON Median 21 22 18 Il now 11 viivy which are categorical and quantitative variables respectively Scores HOHox HOH N L d Write a few sentences comparing the performances of the three groups The medians for these two groups were The participants scored about the same with generally scored lower than the other two groups on all measures of the 5 number summary OTH H Q Q Q3 23 23 22 O D Scores annond with slightly more variation in HDH Z HOH HIHI Q Submit test Max 27 27 23 The

Use the range rule of thumb to identify the values that are significantly low the values that are signficantly high and the values that are neither significantly low nor significantly high A test is used to assess readiness for college In a recent year the mean test score was 19 8 and the standard deviation was 5 4 Identify the test scores that are significantly low or significantly high What test scores are significantly low Select the correct answer below and fill in the answer box es to complete your choice Nound to one decimal place as needed Use ascending order Round to one decimal place as needed Round to one decimal place as needed A Test scores that are between OB Test scores that are greater than C Test scores that are less than GOOOD and

A data set lists weights lb of plastic discarded by households The highest weight is 5 62 lb the of the weights is s 1 761 lb a What is the difference between the weight of 5 62 lb and the mean of the weights b How many standard deviations is that the difference found in part a c Convert the weight of 5 62 lb to a z score d If we consider weights that convert to z scores between 2 and 2 to be neither significantly low nor significantly high is the weight of 5 62 lb significant a The difference is 3 298 lb Type an integer or a decimal Do not round b The difference is 1 87 standard deviations Round to two decimal places as needed mean of all of the weights is x 2 322 lb and the standard deviat c The z score is z Round to two decimal places as needed

Using the accompanying table of data blood platelet counts of women have a bell shaped distribution with a mean of 255 2 and a standard deviation of 65 5 All unit re 1000 cells L Using Chebyshev s theorem what is known about the percentage of women with platelet counts that are within 2 standard deviations of the mean What are the minimum and maximum possible platelet counts that are within 2 standard deviations of the mean Click the icon to view the table of platelet counts Using Chebyshev s theorem what is known about the percentage of women with platelet counts that are within 2 standard deviations of the mean At least of women have platelet counts within 2 standard deviations of the mean Round to the nearest integer as needed

Listed below are prices in dollars for one night at different hotels in a certain region Find the range variance and standard deviation for the given sample data Include appropriate units in the results How useful are the measures of variation for someone searching for a room 162 147 292 The range of the sample data is 185 dollars Round to one decimal place as needed The standard deviation of the sample data is Round to one decimal place as needed Be VI 177 274 OCCA 107 220 235

01 O 1 5 Question 3 If the distribution is skewed right skewed to the right then the mean is median less than O equal to greater than the

Suppose that a random variable Y follows a Poisson distribution with 1 Find the P Y 07 O 0 37 0 1 0 015 O2 72

O Skewed left O Symmetric Skewed right Uniform 8 9 5 7 4 58 000111222344566788 6789