Math  /  Data & Statistics

Question4. In the United States, it is well-known that for the population of males, the mean height is 69.1 inches with standard deviation 4 inches. A researcher believes that a certain group is significantly taller than other males, due to genetic factors. For a sample of 25 such men, the mean is 71.2 inches with standard deviation 3.5 inches. a. Can it be reasonably assumed that the population is normally distributed? Are the criteria met to perform a z-test for the mean? Explain. b. Set up the null and alternative hypothesis to test if this population is taller than average. c. Calculate the value of the test statistic. d. Find the p-value. e. At the 5%5 \% level of significance (α=0.05)(\alpha=0.05), make a decision whether to reject H0H_{0}. f. What can we conclude?

Studdy Solution
Conclude the hypothesis test.
- Since we rejected H0 H_0 , we conclude that there is significant evidence at the 5% 5\% level of significance to support the claim that the group is taller than the average male population.

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