#1) Comparing Risk of Mutual Funds. Investors commonly use the standard deviation of the monthly percentage returns for a mutual fund as a measure of risk for the fund; in such cases, a fund with a higher standard deviation is considered riskier than a fund with a lower standard deviation. It has also been frequently stated that if an investor wishes to earn a higher average rate of return, they must also be willing to accept greater risk. You have been given data containing the monthly returns for two mutual funds: American Century Equity Growth Fund and Fidelity Growth Discovery Fund. a) Provide a table of descriptive statistics and include your preliminary observations. b) Provide confidence intervals for the average monthly return of the two mutual funds. Be sure to interpret their meaning. c) Formulate a hypothesis test to determine if the Fidelity Growth Discovery fund is riskier than the American Century Equity Growth Fund. Be sure to include an explanation of why your test formulation is correct (). d) State your results (test statistic and p-value only), your conclusion and your interpretation. e) Formulate a second hypothesis test, this time to determine if the statement regarding the average return and the amount of risk applies to these two funds. Be sure to include an explanation of why your test formulation is correct (). f) State your results (test statistic and p-value only), your conclusion and your interpretation. g) Based on your findings, briefly explain which of these two mutual funds would be preferred and why?American Fidelity 0.168659453 0.066658727 0.152938953 0.210591479 0.11221754 0.025566713 0.136431189 0.207032877 0.13296453 0.110322551 0.177672496 0.230547638 0.132874758 0.108151284 0.065940864 0.165767024 0.136902806 0.037148499 0.207185168 0.165794329 0.148743677 0.112267562 0.001949108 0.115289691 0.155337182 0.093748224 0.158028495 0.047736413 0.064605753 0.117852021 0.167699006 0.115617362 0.242266631 0.105240378 0.226209116 0.061928266 0.13430609 0.222556985 0.182190384 0.223223571 0.163793833 0.162502029 0.176799875 0.145386155 0.177535417 0.238410396 0.114040798 0.047542906 0.188267203 0.077007453 0.110993806 0.123658031 0.221231488 0.128302605 0.192832709 0.106320953 0.167825107 0.039819537 0.151809893 0.149531375 0.157883859 0.103341156 0.098690601 0.178993078 0.10807457 0.012388656 0.194096439 0.255312976 0. 141791156 0.302927355 0.111293805 0.162297827 0.165217152 0.174227139 0.176412325 0.164215899 0.252048389 0.106886667 0.197669982 0.141794118
