Question

9. A De Anza statistics instructor wonders about the performance of male and female college students in her statistics class. She wants to know whether there is a difference between final exam scores of male and female students. From all of the statistics classes she has taught in the last two years, she randomly selected scores of 63 female students and 58 male students. The females had a sample mean score of 78 with a standard deviation of 6. The males had a sample mean of 76 with a standard deviation of 9. Conduct an appropriate hypothesis test at 5% significance level. Show all steps carefully, including a well-labeled graph showing your p-value.

a. State and describe the appropriate parameter(s).

b. State the hypotheses.

c. State the Type I and Type II errors in context.

d. State and describe the appropriate random variable. e. State the test statistic and the p-value.

f. Sketch an accurate and fully labeled graph showing the p-value.

g. Make the decision and state the conclusion in the context of the problem.

Answer 1