Sample size determination. Example 6.23 (page 377) discusses a test of H0 : = 0 against H0 : > 0 where is

Sample size determination. Example 6.23 (page 377)

discusses a test of H0 : μ = 0 against H0 : μ > 0 where μ is the mean percent change in total body bone mineral content of young women. The population standard deviation is given to be

σ = 2, and the testing was performed at a 5% significance level.

Use software for the following:

(a) What sample size is minimally required to give at least 0.9 power? What is the actual power for this sample size?

(b) Produce a power curve for a sample size of 25. How does the power curve differ in look from the power curves of Figure 6.18?

(c) Looking at the graph, for what alternative mean values is the detection of the alternative almost certain?