# Question: Consider the following null and alternative hypotheses Ho 40

Consider the following null and alternative hypotheses:

Ho: µ = 40 versus H1: µ ≠ 40

A random sample of 64 observations taken from this population produced a sample mean of 38.4. The population standard deviation is known to be 6.

a. If this test is made at a 2% significance level, would you reject the null hypothesis? Use the critical-value approach.

b. What is the probability of making a Type I error in part a?

c. Calculate the p-value for the test. Based on this p-value, would you reject the null hypothesis if α = .01? What if α = .05?

Ho: µ = 40 versus H1: µ ≠ 40

A random sample of 64 observations taken from this population produced a sample mean of 38.4. The population standard deviation is known to be 6.

a. If this test is made at a 2% significance level, would you reject the null hypothesis? Use the critical-value approach.

b. What is the probability of making a Type I error in part a?

c. Calculate the p-value for the test. Based on this p-value, would you reject the null hypothesis if α = .01? What if α = .05?

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