4. A researcher wants to investigate whether psychology majors at Ohio University are more satisfied with the quality of their education when compared to all Ohio University students. Twenty psychology students were randomly selected and had a mean satisfaction score of 70 with a standard deviation of 10. The mean score for all Ohio University students was 60. Are the psychology students significantly more satisfied with the quality of their education when compared to all Ohio University students? Set alpha equal to 0.05.

4a: State the null and alternative hypotheses in words. (2 points)

4b: State the null and alternative hypotheses in symbols. (2 points)

4c: Set up the criteria for making a decision. That is, find the critical value.

(1 point)

4d: Compute the appropriate test-statistic.

SHOW YOUR WORK!!! (3 points)

4e: Evaluate the null hypothesis.

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

4f: Based on your evaluation of the null hypothesis, what is your conclusion?

(1 point)

4g: Calculate the 95% confidence interval for the above test. (2 points)

4h: Interpret the confidence interval you calculated in step #7 above. (1 point)