Math 10-Summer Name ____ __.k:"""""c;""'~~'/r--------gw07 1. A researcher wants to support the claim that students spend less than 7 hours per week doing homework. sample size for the test is 64 students. The drawing shown diagrams a hypothesis test for population mean under the Null Hypothesis (top drawing) and under the Alternative Hypothesis (bottom drawing). a. State the Null and Alternative Hypotheses. The

< '+ b. What is the design probability associated with Type I error?

c. What is the design probability associated with Type II error? d. What is the critical value for the test statistic (x c)?

e. What is the power of the test shown in this graph? f. If the p-value of the test came out to be .08, what would the decision g. What is the value of the mean under the Alternative Hypothesis? be?