Question

Calculate by hand then by technology using TI-84. The mean height of adult men in the U.S. is 69.7 inches, with a standard deviation of 3 inches. A sociologist believes that tall men may be more likely to be promoted to positions of leadership, so the mean height of male business executives may be greater than the mean height of the entire male population. A simple random sample of 100 male business executives has a mean height of 69.9 inches. Can we conclude that male business executives are taller on average than the general male population at the Î±=0.05 level? 1. Define the hypothesis using appropriate notation. 2. What is the test statistic? 3. Determine the P-value for the test statistic. 4. What should we conclude from these results?

          Calculate by hand then by technology using TI-84.
The mean height of adult men in the U.S. is 69.7 inches, with a standard deviation of 3 inches. A sociologist believes that tall men may be more likely to be promoted to positions of leadership, so the mean height of male business executives may be greater than the mean height of the entire male population. A simple random sample of 100 male business executives has a mean height of 69.9 inches. Can we conclude that male business executives are taller on average than the general male population at the Î±=0.05 level?
1. Define the hypothesis using appropriate notation.
2. What is the test statistic?
3. Determine the P-value for the test statistic.
4. What should we conclude from these results?

Added by Harry G.

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