Explore the use of the two sample \(t\) test in Exercise 8.9 by testing the null hypothesis that the two populations have equal variances. Use the 0.02 level of significance.

Data From  Exercise 8.9

8.9 Measuring specimens of nylon yarn taken from two spinning machines, it was found that 8 specimens from the first machine had a mean denier of 9.67 with a stan- dard deviation of 1.81, while 10 specimens from the second machine had a mean denier of 7.43 with a stan- dard deviation of 1.48. Assuming that the populations sampled are normal and have the same variance, test the null hypothesis = 1.5 against the alter- native hypothesis - 2 > 1.5 at the 0.05 level of significance. -