Mutual Funds. A mutual fund is a professionally managed investment that can be sold to the general public. The following table lists the 3-month rates of return, in percent, for samples of healthcarerelated and technology-related mutual funds, as reported by Morningstar, an independent investment research company.

Healthcare Technology 9.7 9.5 7.6 6.8 6.7 6.5 6.4 6.4 6.2 4.9 6.7 6.6 4.6 3.9 3.9 4.6 4.6 4.2 3.6 3.2 3.7 3.3 3.0 0.8 −9.9 2.9 2.8 2.7 2.5

a. Use the technology of your choice to obtain normal probability plots and boxplots for the two samples.

b. Is it reasonable to use the pooled t-test to perform a hypothesis test here? Explain your answer.

c. Is it reasonable to use the Mann–Whitney test to perform a hypothesis test here? Explain your answer.