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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

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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 ________.