7. An investment counselor, Anna Lynn, wonders if the Metals fund is significantly riskier than the Income Jnd. She randomly selected 10 investors ( 11.} of buying Metals fund and 12 investors (11,} of buying Income fund. The average return of Metals fund (id is 24.65% while the average return of Income fund {fl} is 8.51%. In addition, the standard deviation of retum for Metal fund (5. } is 37.13% while the standard deviation of return for Income fund (3,} is 11.07%. Let investors ofbuying Metals Jnd be group 1 while investors ofbuying Income fund be group 2. a. Use math symbol to formulate null and alternative hypotheses to test whether or not the Metals nd is significantly riskier than the Income fund. _ _ b. At the 0.05 level of signicance, what is the value of the test statistic? What are degrees of freedom? What is the critical value? Using the critical value approach, is the Metals fund is signicantly riskier than the Income Jnd? What is your conclusion? Interpret. c. Using a 0.05 level of significance and the p-value approach, what is the p-value? And what is your conclusion? Interpret. l ""- r' 'mn-q "'_ -'_"q _" '- "_"'J' d. What assumption do you need to make in (b) about the two populations in order to implement the test