5. A researcher was interested in seeing if there was a significant difference between Ohio University men and women in terms of the average number of hours that they watch TV on the weekend. So, he collected data from two random samples (below).

Conduct an independent samples t-test using an alpha level equal to .01.

Men Women

Sample mean 8.0 5.0

Standard deviation 2.0 4.0

Sample size 16 16

5a: State the null and alternative hypotheses in symbols. (2 points)

5b: Set up the criteria for making a decision. That is, find the critical value.

(1 point)

5c: Compute the appropriate test-statistic. SHOW YOUR WORK!

Please complete by NOT pooling the variance! (3 points)

5d: Evaluate the null hypothesis (based on your answers to the above steps).

(Circle One) REJECT FAIL TO REJECT (1 point)

5e: Based on your evaluation of the null hypothesis, what is your conclusion?

(1 point)

5f: Construct a 99% confidence interval and interpret. (3 points)