I. A forester wants to compare two different mist blowers for consistent application. For this purpose she collected a sample of data for each mist blower and the mean, standard deviation and sample size for each sample are computed as follows: : 1=2.5,1=.03, 1=32 : 2=2.9,2=.045, 2=45 We wish to know if we may conclude, at the 99% confidence level, the population variance of type A is equal to the population variance of type B. To do so, (15) a) State the null and alternative hypotheses. b) Compute the test statistic-value. c) Find the critical-value. d) Identify the decision rule and express your decision. II. Using the decision made in part I, and at the significant level, 0.05, test whether the mean of type A is less than the mean of type B. To do so, (15) a) State the null and alternative hypotheses. b) Compute the test statistic-value. c) Find the critical-value at the significant level, =0.05. d) Identify the decision rule and express your decision using (b) and (c).