In Exercises 10.34 and 10.41, how large should the sample

Chapter 10, Problem 42E

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Problem 42E

In Exercises 10.34 and 10.41, how large should the sample size be if we require that α = .01 and β = .05 when μa = 5.5?

Reference

Refer to Exercise 10.34. Using the rejection region found there, calculate β when μa = 5.5.

Exercise 8.58 stated that a random sample of 500 measurements on the length of stay in hospitals had sample mean 5.4 days and sample standard deviation 3.1 days. A federal regulatory agency hypothesizes that the average length of stay is in excess of 5 days. Do the data support this hypothesis? Use α = .05.