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The height of women ages? 20-29 is normally? distributed, with a mean of 64.8 inches. Assume sigma σ equals =2.4 inches. Are you more likely to randomly select 1 woman with a height less than 66 inches or are you more likely to select a sample of 26 women with a mean height less than 66? inches? Explain. Complete parts? (a) through? (c) to find the answer to the question.
?(a) What is the probability of randomly selecting 1 woman with a height less than 66? inches?
?(b) What is the probability of selecting a sample of 26 women with a mean height less than 66? inches?
?(c) Are you more likely to randomly select 1 woman with a height less than 66 inches or are you more likely to select a sample of 26 women with a mean height less than 66? inches?
Using the critical value approach and the sample information reported below, carry out a test of this statement. Let α = 0.05.
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