Let Y1, Y2, , Y22 be a random sample of normally distributed random variables with an unknown mean and a known variance of 6 0 We wish to test H0 10 versus H1 10 Construct a large sample sign test having a Type I error probability of 0 05 What will the power of the test be if 11 ...

The critical value for the test is the solut ...

Let Y1, Y2, . . . , Y22 be a random sample of normally distributed random variables

Question:

Let Y1, Y2, . . . , Y22 be a random sample of normally distributed random variables with an unknown mean μ and a known variance of 6.0.We wish to test
H0: μ = 10
versus
H1: μ > 10
Construct a large-sample sign test having a Type I error probability of 0.05. What will the power of the test be if μ = 11?