Accounting B331F A Factory Manager Claims That Workers At Plant A

A factory manager claims that workers at plant A are faster than those at Plant , To test the claim, a random samples of times ( in minutes) taken to complete a given task was taken from each of the plants, the following results were obtained.Plant A N1 = 10 X1 = 74 S12 = 60Plant B N2 = 13 X2 = 81 S22 = 40assuming that the population are normalA) is the claim valid? assume the population variances are equal. use a 5% level of significanceB) explain how one can commit a type I errorshow all your workings

ACCOUNTING B331F A factory manager claims that workers at plant A

Question
A factory manager claims that workers at plant A are faster than those at Plant , To test the claim, a random samples of times ( in minutes) taken to complete a given task was taken from each of the plants, the following results were obtained.

Plant A N1 = 10 X1 = 74 S12 = 60

Plant B N2 = 13 X2 = 81 S22 = 40

assuming that the population are normal

A) is the claim valid? assume the population variances are equal. use a 5% level of significance

B) explain how one can commit a type I error