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Homework answers / question archive / Question1)The federal government would like to test the hypothesis that the average age of men filing for Social Security is higher than the average age of women set using α = 0

Question1)The federal government would like to test the hypothesis that the average age of men filing for Social Security is higher than the average age of women set using α = 0

Statistics

Question1)The federal government would like to test the hypothesis that the average age of men filing for Social Security is higher than the average age of women set using α = 0.05 with the following data:

 

Men

Women

Sample mean

64.5 years

63.6 years

Sample size

35

39

Population standard deviation

3.0 years

3.5 years

If Population 1 is defined as men and Population 2 is defined as women, the test statistic for this hypothesis test would be ________.

 

Question 2

   

The federal government would like to test the hypothesis that the average age of men filing for Social Security is higher than the average age of women set using α = 0.05 with the following data:

 

Men

Women

Sample mean

64.5 years

63.6 years

Sample size

35

39

Population standard deviation

3.0 years

3.5 years

If Population 1 is defined as men and Population 2 is defined as women, which one of the following statements is true?

 
 

 

 

 

Question 3

   

Two real estate companies, Century 21 and RE/MAX, compete with one another in a local market. The manager of the Century 21 office would like to advertise that homes listed with RE/MAX average more than 10 days on the market when compared to homes listed with his company. The following data shows the sample size and average number of days on the market for the two companies along with the population standard deviations.

 

Century 21

RE/MAX

Sample mean

122 days

144 days

Sample size

36

30

Population standard deviation

32 days

35 days

If Population 1 is defined as RE/MAX and Population 2 is defined as Century 21, and using α = 0.10, the critical value for this hypothesis test would be ________.

 

Question 4

   

Expedia would like to test the hypothesis that the average roundtrip airfare between Philadelphia and Paris is higher for a flight originating in Philadelphia when compared to a flight originating in Paris. The following data summarizes the sample statistics for roundtrip flights originating in both cities. Assume that the population variances are equal.

 

Originating City

 

Philadelphia

Paris

Sample mean

$1,240

$1,060

Sample size

15

19

Sample standard deviation

$270

$240

If Population 1 is defined as flights originating in Philadelphia and Population 2 is defined as flights originating in Paris, the test statistic for this hypothesis test would be ________.

 

Question 5

   

Expedia would like to test the hypothesis that the average roundtrip airfare between Philadelphia and Paris is higher for a flight originating in Philadelphia when compared to a flight originating in Paris. The following data summarizes the sample statistics for roundtrip flights originating in both cities. Assume that the population variances are equal.

 

Originating City

 

Philadelphia

Paris

Sample mean

$1,240

$1,060

Sample size

15

19

Sample standard deviation

$270

$240

If Population 1 is defined as flights originating in Philadelphia and Population 2 is defined as flights originating in Paris, the 90% confidence interval for the difference in population means is ________.

 

Question 6

   

You have been assigned to test the hypothesis that the average number of hours per week that an American works is higher than the average number of hours per week that a Swede works. The following data summarizes the sample statistics for the number of hours worked per week for workers in each country. Assume that the population variances are unequal.

 

American

Swede

Sample mean

32.7 hours

28.2 hours

Sample size

15

12

Sample standard deviation

5.1 hours

6.0 hours

If Population 1 is defined as American workers and Population 2 is defined as Swedish workers, the correct hypothesis statement for this hypothesis test would be

 
 
 
 

 

Question 7

   

You have been assigned to test the hypothesis that the average number of hours per week that an American works is higher than the average number of hours per week that a Swede works. The following data summarizes the sample statistics for the number of hours worked per week for workers in each country. Assume that the population variances are unequal.

 

American

Swede

Sample mean

32.7 hours

28.2 hours

Sample size

15

12

Sample standard deviation

5.1 hours

6.0 hours

If Population 1 is defined as American workers and Population 2 is defined as Swedish workers, the p-value for this hypothesis test would be between ________.

 

Question 8

   

Suppose Burger King has run a major advertising campaign in the hopes of increasing monthly sales. To investigate the effectiveness of this campaign, Burger King randomly selected seven restaurants and recorded the monthly sales before and after the advertising. The following data represents these sales figures in thousands of dollars.

Restaurant

1

2

3

4

5

6

7

After (Year 2012)

$127

$122

$145

$156

$160

$134

$108

Before ( Year 2011)

$107

$110

$143

$168

$145

$125

$98

If Population 1 is defined as the year 2012 and Population 2 is defined as the year 2011, and using α = 0.05, the critical value for this hypothesis test would be ________.

 

Question 9

   

The Centers for Disease Control (CDC) would like to test the hypothesis that the proportion of obese adults in the U.S. has increased this year when compared to last year. A random sample of 120 adults this year found that 45 were obese. Last year, a random sample of 150 adults found that 48 were obese. If Population 1 is defined as this year and Population 2 is defined as last year, the correct hypothesis statement for this hypothesis test would be

 

 

 

 

 

Question 10

   

AT&T would like to test the hypothesis that the proportion of 18- to 34-year-old Americans that own a smartphone is less than the proportion of 35- to 49-year-old Americans. A random sample of 200 18- to 34-year-old Americans found that 126 owned a smartphone. A random sample of 175 35- to 49-year-old Americans found that 119 owned a smartphone. If Population 1 is defined as 18- to 34-year-old Americans and Population 2 is defined as 35- to 49-year-old Americans, the 98% confidence interval for the difference in population proportions is ________.

 
 
 
 

 

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