A statistician wants to test for the equality of means in two independent samples drawn from normal populations of people enrolled in a diet program. However, he will not perform the equal-variance t-test of the difference between the population means if the condition necessary for its use is not satisfied. The number of pound lost at the completion of the program data follow: (20 points) Sample 1 Sample 2 7 9 6 15 7 10 8 12 2 25 9 15 10 18 5 22 27 3 Can the statistician conclude at the 5% significance level that the required condition is not satisfied? Test statistic = Critical Value(s) = Conclusion: Interpretation: Estimate with 95% confidence the ratio of the two population variances.