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eThe human resources department of...

eThe human resources department of a consulting firm gives a standard creativity test to a randomly selected group of new hires every year. This year,

60new hires took the test and scored a mean of

113.3points with a standard deviation of

14.4. Last year,

70new hires took the test and scored a mean of

116.7points with a standard deviation of

16. Assume that the population standard deviations of the test scores of all new hires in the current year and the test scores of all new hires last year can be estimated by the sample standard deviations, as the samples used were quite large. Construct a

90

%confidence interval for

−

μ

1

μ

2, the difference between the mean test score

μ

1of new hires from the current year and the mean test score

μ

2of new hires from last year. Then complete the table below.

Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places. (If necessary, consult a list of

60new hires took the test and scored a mean of

113.3points with a standard deviation of

14.4. Last year,

70new hires took the test and scored a mean of

116.7points with a standard deviation of

16. Assume that the population standard deviations of the test scores of all new hires in the current year and the test scores of all new hires last year can be estimated by the sample standard deviations, as the samples used were quite large. Construct a

90

%confidence interval for

−

μ

1

μ

2, the difference between the mean test score

μ

1of new hires from the current year and the mean test score

μ

2of new hires from last year. Then complete the table below.

Carry your intermediate computations to at least three decimal places. Round your answers to at least two decimal places. (If necessary, consult a list of

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