Question: 13. Certain measurements were made on test pieces selected from two batches B1 and B2, with the following results shown: Lot B1 0.240 0.238 0.243

13. Certain measurements were made on test pieces selected from two batches B1 and B2, with the following results shown:

Lot B1 0.240 0.238 0.243 0.242 0.244 0.237 Lot B2 0.185 0.190 0.192 0.186 0.188 0.190 If μ1 and μ2 are the means and σ2 1 and σ2 2 are the variances of the measurements in batches B1 and B2, respectively, and assuming normality:

(a) Test the hypothesis H0: σ2 1/σ2 2 = 1 versus H1: σ2 1/σ2 2 = 1 at the 5% level of significance.

Review Practice Problems 433

(b) Using (a), test the hypothesis H0: μ1 − μ2 = 0 versus H1: μ1 − μ2 = 0 at the 5%

level of significance.

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