1. A financial planner wants to compare the yield of income and growth oriented mutual funds. Fifty thousand dollars is invested in each of a sample of 35 income-oriented and 40 growth-oriented funds The meanincrease for a two year period for the income funds is $1100 with a standard deviationof $45. For the growth-oriented funds the mean increase is $1090 with a standard deviation of $55. At the 0.01 significance level is there a difference in the mean yield of the two funds?
a. State the null and alternate hypotheses.
b. State the decision rule.
c. Compute the value of the test statistic.
d. Compute the p value.
e. What is your decision regarding the null hypothesis? Interpret the result.