15. Two methods for preparing fish, A and B, are compared according to a specific scoring scheme. The claim has been made that A >

15. Two methods for preparing fish, A and B, are compared according to a specific scoring scheme. The claim has been made that μA > μB. The composite scores of two samples are:

Method A Method B 4.05 4.18 3.31 2.35 5.04 4.35 3.39 2.59 3.45 3.88 2.24 4.48 3.57 3.02 3.93 3.93 4.23 4.56 3.37 3.43 4.23 4.37 3.21 3.13.

(a) Assuming normality of the scores generated by A and B, test at the 1% level of significance the hypothesis σ2A

= σ2B

.

(b) Using the result in (a), test the hypothesis H0: μA = μB versus H1: μA > μB.