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Lind, D. A., Marchal, W. G., & Wathen, S. A. (2017). Statistical techniques in business and economics (17th ed.). Retrieved from

The table below shows the percent of the labor force that is unemployed and the size of the labor force

for three countries in northwest Ohio. Jon Ellis is the Regional Director of Economics. He must present a

report to several companies that are:

Question 1:What would be the appropriate unemployment rate to show for the entire region? (Round

to 2 decimal places)

Percent unemployed

4.5

3.0

10.2

Size of workforce

15,300

10,400

150,600

Question 2: There are 100 employees at Kiddie. 57 are hourly worker, 40 are supervisors, 2 are

secretaries and the remaining employee is the president.

A)

B)

C)

D)

What is the probability the selected employee is an hourly worker?

What is the probability the selected employee is either an hourly worker or a supervisor?

Refer to part b . Are these events mutually exclusive?

What is the probability that neither hourly worker nor a supervisor?

Question 3: The board of directors of SAD Company consists of 12 members, 3 whom are women. A

new policy and procedure manual is to be written for the company. A committee of three is randomly

selected from the board to do the writing.

A) What is the probability that all members of the committee are men?

B) What is the probability that at least one member of the committee is a woman?

Question 4: In recent study, 35% of people surveyed indicate chocolate was their favorite flavor of ice

cream. Suppose we select a sample of ten people and ask them to name their favorite flavor of ice

cream.

How many of those in the sample would you expect to name chocolate?

B) What is the probability exactly four of those in the sample name chocolate?

A)

Question 5: Recent statistics suggest that 15 % of those who visit a retail site on the internet make a

purchase. A retailer wished to verify the claim. To do so, she selected a sample of 16 “hits” to her site

and found that 4 actually made a purchase.

A) What is the likelihood of exactly four purchases?

B) How many purchases should she expect?

Question 6: There are 10 partners in a firm. 7 live in Ohio and 3 in northern Kentucky. The owner wants

to appoint 3 partners to move to Kentucky. If the committee is selected at random from the 10 partners,

What is the probability that:

A) One member of the committee lives in northern Kentucky and the others live in Ohio?

B) At least one member of the committee loves in northern Kentucky?

Question 7: During the second round of the 1989 U.S. Open golf tournament, four golfers scored a hole

in one on the sixth hole. The odds of a professional golfer making a hole in one are estimated to be

3,708 to 1, so the probability is 1/3,709. There were 155 golfers participating in the second round that

day. Estimate the probability that 4 golfers would score a hole in one of the sixth hole.

Question 8: A) Find the median, first quartile, and third quartile for seniors

b)Find the median, first quartile, and third quartile for young adults.

Seniors Young Adults

28

81

35

107

41

113

48

147

52

147

81

175

97

183

98

192

98

202

99

209

118

233

132

251

133

254

140

266

145

283

147

284

153

284

158

316

162

372

174

401

177

417

180

423

180

490

187

500

188

507

518

550

557

590

594

Question 8B:A data set Consists of 83 observations. How many classes would you recommend

for a frequency distribution?

Question 9: The first row of the stem and leaf chart appears as the following 60 l 1 3 3 7 9.

Assume whole number values.

A) What is the “ Possible range“ Of the values in this row?

Question 10: Determine the median and the first and third quartiles of the following data.

46 47 49 49 51 53 54 54 55 55 59

Median:

First quartile:

Third quartile :

Question 11: The following values are the starting salaries, in $000, For a sample of five

account and graduates who excepted positions in public accounting last year.

36.0 26.0 33.0 28.0 31.0

A) Determine the standard deviation.

B) Determine the coefficient of skewness using Pearson’s method.

C) Determine the coefficient of skewness using the software method.

Question 12: A normal distribution has a mean of 50 and a standard deviation of 4.

A) Commute the probability of a value between 44.0 and 55.0.

B)Commute the probability of a value greater than 55.0.

C) Commute the probability of a valued between 52.0 and 55.0.

Question 13: Assume a binomial probability distribution with n= 50 and π =.25 compute the

following. ( round all Z values to 2 decimal places).

b) The probability that X is 15 or more. ( Use the rounded values found above. Round your

answer to 4 decimal places).

Question 14: Recent studies indicate that the typical 50-year-old woman spends $350 per year

for professional care products. The distribution of the amount spent follows a normal

distribution with a standard deviation of $45 per year. We select a random sample of 40 women.

The mean amount spent for those sampled is $335.

What is the likelihood of finding a sample mean this large or larger for the specified

population?(Round the value to two decimal places and the final answer to four decimal places)

Question 15: In the United States the mean age of men when they marry for the first time

follows a normal distribution with a mean of 29 years. The standard deviation of the distribution

is 2.5 years.

For a random sample of 60 men, what is the likelihood that the age when they were first married

is less than 29.3 years?( Round your Z value to two decimal places. Round your answer to four

decimal places)

Question 16: A new white watching company weight reducers international advertises that

those who join will lose an average of 10 pounds after the first two weeks. The standard

deviation is 2.8 pounds. A random sample of 50 people who join the weight reduction program

revealed a mean loss of 9 pounds. At the 0.05 level of significance, we can conclude that those

joining weight reducers will lose less than 10 pounds? What is a conclusion regarding the

null hypothesis?

Question 17: A recent survey by nerdwallet.com indicated Americans paid a mean of $6,658

interest on credit card debt and 2015. A sample of 12 households with children revealed the

following amounts. 7077, 5744, 6753, 7381, 7625, 6636, 7164, 7348, 8060, 5848, 9275 ,7052.

At the 0.05 significance level is it reasonable to conclude at these households have.

At the 0.05 significance level is it reasonable to conclude at these households have more debt?

Question 18: www.gulfsmith.com reveals an average of 6.5 returns per day from online

shoppers. For a sample of 12 days, it received the following numbers of return.

0 ,4 , 3 ,4 ,9 ,4 ,5 ,9 ,1 ,6 ,7 ,10

At the 0.01 significance level, we can conclude the mean number of returns is less than 6.5?

Question 19: The number of destination weddings has skyrocketed in recent years. For example,

many couples are opting to have their weddings in the Caribbean. A Caribbean vacation resort

recently advertise the bridal magazine that because of a Caribbean where it was less than

$30,000. Listed below is the total cost in $000 for a sample of a Caribbean weddings. At the 0.05

significance level, is it reasonable to conclude that the main wedding cost is less than $30,000 as

advertised?

29.7 29.4 31.7 29.0 29.1 30.5 29.1 29.8

What is the conclusion regarding the null hypothesis?

Question 20: A recent study focused on the number of times men and women who lived alone

buy take out dinner in a month. Assume that a distributions to follow the normal probability

distribution and the population standard deviations are equal. The information is summarized

below.

Statistic

Sample mean

Sample standard deviation

Sample size

Men

24.51

4.48

35

Women

22.69

3.86

40

At the 0.01 significance level, is there a difference in the main number of times men and women

order takeout dinners in a month?

A) State the decision rule for 0.01 significance level: H0: μmen = μwomen

H1: μmen ≠ μwomen(round to 3 decimal places)

B)Commute the value of the test statistic. (round to 3 decimal places)

C) what is your decision regarding the null hypothesis? (fill in the blank)

The decision is __________ the null hypothesis that the means are the same.

D) what is the P value? (round to 3 decimal places)

Question 21: A real estate agent in the coastal area of Georgia wants to compare the variation

in the selling price of homes on the ocean front with those 1 to 3 blocks from the ocean. A

sample of 21 Ocean front homes sold within the last year revealed a standard deviation of the

selling price is worth $45,600. A sample of 18 homes, also sold within the last year, that were 1

to 3 blocks from the ocean front revealed that the standard deviation was $21,330. At the 0.01

significance level, we can conclude that there is more variation in the selling price of the ocean

homes?

1. what is a decision rule? Use the 0.01 significance level. (Round your answer to two decimal

places)

Reject H0 if F> ____

2.What is the value of F?

3. At the 0.01 significance level, we can conclude that there is more variation in the sale and

prices of the ocean front homes?

Question 22: there are two Chevrolet dealers in Jamestown New York. The main monthly sales

at Sharkley Chevy and D. White Chevrolet are about the same. However, Sharkley believes his

sales are more consistent. Below are the numbers of new car sold at Sharkley in the last 7

months and for the last 8 months at D. white. Do you agree with Sharkley? Use the 0.01

Significance level.

Sharkey

98

78

54

57

68

64

70

Dave White

75

81

81

30

82

46

58

101

1. Calculate the standard deviation for Chevy.

2. Calculate the standard deviation for a white.

3. State the decision rule for 0.01 significance level. Reject H0 if F> _______________

4.What is the value of F?

Question 22 B: In an ANOVA table, the MSE is equal to 10. Random samples of six were

selected from each of four populations, where the sum of squares total was 250.

C-1. From the information above, fill in the blanks in the table below. Round your MS to 2

decimal places. Round your other values to the nearest whole number).

Source

Treatment

Error

Total

SS

Df

MS

C-2.What is the value of F? ( Round your answer to 2 decimal places).

Question 23: Tina Dennis believes that more than 60% of the accounts are in arrears more than

3 months. A random sample of 200 I can’t show that 140 or more than three months old at the

0.01 significance level can she can close them more than 60% of the accounts are in the arrears

for more than three months?

1.State the null and alternative hypotheses.

H0:

H1:

0.60

0.60

2. Make the decision rule.

H0 is rejected if z > _________

3. Evaluate the test statistic.

4. What is a decision regarding the null hypothesis?

Question 24: Vehicles heading west on front Street may turn right, turn left, or go straight here

to Elm Street. The city traffic engineer believes that half of the vehicles will continue straight

through the intersection. Of the remaining half, equal proportions will turn right and left. 200

vehicles were observed, with the following results. Can we conclude that the traffic engineer is

correct? Use the 0.10 significance level.

Frequency

Straight

112

Right Turn

48

Left Turn

40

1. Make the decision rule. Round to three decimal places. H0 is rejected if chi-square > _______

2. Evaluate the test statistic. Round your answer to 2 decimal places

3. What is a decision regarding the null hypothesis?

Question 25: An industrial psychologist selected a random sample of 7 young urban

professional couples who own their homes. The size of their home (square feet )is compared

with that of their parents(one-tailed test).

Couple Name Professional

Gordon

1725

Sharkey

1310

Uselding

1670

Bell

1520

Kuhlman

1290

Welch

1880

Anderson

1530

Parent

1175

1120

1420

1640

1360

1750

1440

1. Complete the following table.

Couple

1

2

3

4

5

6

7

Difference

Rank

2. At 0.05 significance level, what is a Wilcoxon signed rank test value?

3. Compute the t value.

4. At the 0.05 significance level, we can conclude that the professional couples live in larger

homes and their parents?( one-tailed test)

Question 26: Eight observations were randomly selected from populations that were not

necessarily normally distributed. Use the 0.05 significance level, a two-tailed test, and the

Wilcoxon rank-sum test.

Population A

38

45

56

57

61

69

70

79

Population B

26

31

35

42

51

52

57

62

1. State the decision rule. Use the 0.05 significance level. ( Negative amounts should be indicted

by minus sign. Round your answers to 2 decimal places).

2. Complete the following table.( Round your answer to 1 decimal places)

Score

38

45

56

57

61

69

70

79

Rank

0.0

B

Score

26

31

35

42

51

52

57

62

Rank

0.0

3. What is the Wilcoxon rank-sum test value ? z= _____

4. What is your decision regarding H0? Is there a difference between the two populations?

Question 27: The Vice President of programming at NBC is finalizing the prime-time schedule

for the fall. She has decided to include a hospital drama but is unsure which of two possibilities

to select. She has pilot called the Surgeon and another called Critical Care. To help her make a

final decision, a sample of 20 viewers from throughout the US was asked to watch the two pilots

and indicate which show they prefer. The results were that 12 liked The Surgeon, 7 liked Critical

Care, and one had no preference.

H0: π =0.50

H1 π ≠ 0.50

1. State the decision rule, using the 0.10 significance level.

2. What is your decision regarding H0? Is there a

preference for one of the two shows?

Question 28: The following sample observations were randomly selected.

X

4

5

3

6

10

Y

4

6

5

7

7

1. Fill in the blanks below:

x̄

ȳ

Sx

Sy

Coefficient of correlation

Coefficient of determination

2. Choose the right option.

The correlation coefficient obtained here indicates __________ correlation between X and Y.

3. Fill in the blanks.

The coefficient of determination obtained here indicated X accounts for approximately

______ percent of the variation in Y.

Question 29: The following hypotheses are given.

A random sample of 12 paired observations indicated a correlation of 0.32.

1. State the decision rule for 0.05 significance level.(Round your answer to 3 decimal places.)

2.Compute the value of the test statistic. ( Round your answer to 3 decimal places).

3. Can we conclude that the correlation in the population is greater than zero? Use the 0.05

significance level.

Question 30. And environmental protection agency study of 12 automobiles revealed a

correlation of 0.47 between engine size and emissions. We can conclude that there is a positive

association between the two variables? Use the 0.01 significance level.

Question 32: A regression analysis relating to the current market value in dollars to the size in

square feet of homes in Green county Tennessee follows. The regression equation is:

Value =-37,186+65.0 size.

Predictor

Constant

Size

Analysis of

Variance

Source

Regression

Residual Error

Total

Coef

-37186

62.993

DF

1

33

34

SE Coef

4629

3.047

T

-8.03

21.33

SS

MS

13548662082

982687392

14531349474

13548662083

29778406

P

0.000

0.000

F

454.98

P

0.000

A) how many houses were in the sample?

B) commute the standard error of estimate. (Round your answer to the nearest whole number)

C) compute the coefficient of determination.( round your answer to two decimal places)

D) Compute the correlation coefficient. (round your answer to two decimal places.)

E) at the 0.05 significance level, does the evidence suggest a positive association between the

market value of homes and the size of the home in square feet? Fill in the blanks.

_______ , because the t-value is ________ the critical value and the p-value is _______ the

significance level.

Question 33: The director of marketing of Reeves wholesale products is studying monthly sales.

Three independent variables were selected as estimators of sales: region of population, per

capita income, and regional unemployment rate. The regression equation was computed to be

(in dollars):

y= 64,100+0.394×1 + 9.6×2 – 11,600×3

Note : Here, the variables x1, x2, x3 refer to regional population, Per capita income, and regional

unemployment rate respectively.

C. What are the estimated monthly sales for a particular region with a population of $796,000

per capita income of $6,940, and an unemployment rate of 6.0%?

Question 34: A consulting group was hired by the human resources department at General

Mills Inc. to survey company employees regarding there their degree of satisfaction with their

quality-of-life. A special index, called the index of satisfaction, was used to measure six factors

were studied, namely, age at the time of first marriage(x1), annual income(x2), number of

children(x3), value of all assets(x4), status of health and the form of an index(x5), and the

average number of social activities per week(x6) such as bowling and dancing. Suppose a

multiple regression equation is: y= 16.24 + 0.017×1 + 0.0028×2 + 42×3 + 0.0012×4 + 0.19×5 +

26.8×6

B) Which will add more to satisfaction, an additional income of $10,000 a year or two more

social activities a week?

Question 35: The owner of egg form wants to estimate the main number of eggs produced per

chicken. A sample of 20 chickens shows they produce an average of 20 eggs per month with a

standard deviation of two eggs per month. ( Use t-distribution table)

D) developed the 95% confidence interval for the population mean. Round your answer to two

decimal places

Confidence interval ____ to ______

Question 36: The owner of West end gas station wishes to determine the proportion of

customers who pay at the pump using a credit card or debit card. He surveys 100 customers and

five that 80 paid at the pump (round your answers to two decimal places.)

A)Estimate the value of the population proportion

B) develop a 95% confidence interval of the population proportion

Question 37: A random sample of 400 viewers were selected and asked to watch the new

comedy show and the crime investigation show at the view in the shows, 250 indicated they

would watch a new comedy show and suggested it replace the criminal investigation show.

Round your answers to three decimal places.

A) estimate the value of the population proportion

B) determine the 99% confidence interval for the population proportion

Question 38: A population standard deviation is 10. We want to estimate the population mean

within 2, with a 95% level of confidence.

How large a sample is required? Round up your answer to the next whole number

Question 39: The estimate of the population proportion should be within plus or minus .05,

with a 95% level of confidence. The best estimate of the population proportion is .15. How large

a sample is required? Use t- distribution table ( Round Z value to two decimal places and round

up your answer to the next whole number

Question 41: WRI advertise that those who join will lose an average of 10 pounds after the first

two weeks. The standard deviation is 2.8 pounds. A random sample of 50 people who joined the

weight reduction program revealed a mean loss of 9 pounds. At the 0.05 level of significance, we

can conclude that those joining will lose an average of 10 pounds after the first two weeks.

Question 42: A recent study focus on the number of times men and women who live alone but

take out dinner in a month. Assume that the distributions follow the normal probability

distribution and the population standard deviations are equal. The information is summarized

below. Develop an effective size measure (round to two decimal places)

Statistic

Sample mean

Sample standard deviation

Sample size

Men

24.51

4.48

35

Women

22.69

3.86

40

Question 43: In an ANOVA table, the MSE is equal to 10. Random samples of six seats were

selected from each of four populations, where the sum of squares total was 250. Developed an

effect size measure for Chapter 12 question 27. (Round to two decimal places)

Question 44: Vehicles heading west on front Street may turn right, turn left, or go straight here to

Elm Street. The city traffic engineer believes that half of the vehicles will continue straight

through the intersection. Of the remaining half, equal proportions will turn right and left. 200

vehicles were observed, with the following results. Can we conclude that the traffic engineer is

correct? Use the 0.10 significance level.

Frequency

Straight

112

Right Turn

48

Question 45: The following sample observations were randomly selected.

X

4

5

3

6

10

Y

4

6

5

7

7

Left Turn

40

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