As part of an industrial training program, some trainees are instructed by Method A, which is straight teaching-machine instruction, and some are instructed by Method B, which also involves the personal attention of an instructor. If random samples of size 10 are taken from large groups of trainees instructed by each of these two methods, and the scores which they obtained in an appropriate achievement test are

Method A : 71, 75, 65, 69, 73, 66, 68, 71, 74, 68

Method B : 72, 77, 84, 78, 69, 70, 77, 73, 65, 75

Assume that the populations sampled can be approximated closely with normal distributions. 

(a) Use the 0.05 level of significance to test whether the variances of the populations sampled can be accepted as equal.

(b) Assume that the two populations have the same variance, write a R code using the 0.05 level of significance to test the claim that Method B is more effective.

Please help me with detailed answer and explanation! Thank you!

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