Suppose we want to test the following hypotheses regarding a particular population mean: H0: > 500

Question:

Suppose we want to test the following hypotheses regarding a particular population mean: H0: μ > 500 feet Ha: μ < 500 feet Assume sample size is 64 and that the population standard deviation is 80. Use a significance level of .10. Build the appropriate test and compute the probability that the test you set up could lead you into making a Type I error if
a. μ = 500 feet
b. μ = 505 feet
c. μ = 510 feet Show that the maximum Type I error probability is equal to.