Data was collected on annual personal time (in hours) taken by a random selection of 50...

Data was collected on annual personal time (in hours) taken by a random selection of 50 women and 55 men employed by a medium-sized company. We know that the data for women and men is normally distributed. The Human Resources Department believes that the amount of personal time used by women is less than the amount of personal time used by men.

The sample of women took an average of 25 hours of personal time with a standard deviation of 4.9 hours. The men took an average of 27.6 hours of personal time with a standard deviation of 4.8 hours. Assuming the population standard deviations are equal, test the Human Resources Departments claim at α = 0.05.

State the null (H₀) and alternate (H_A) hypotheses.

Check the assumptions

Give the test statistic.

Give the P-value and the conclusion reached about the null hypothesis based on the P-value.

Summarize the final conclusion in the context of the claim.

Also construct a 95% confidence interval for the mean difference. Does this confidence interval include the value of 0? Should it? Explain

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orchestra answered 2 years ago

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