Mindy finds a 96% confidence interval for the mean height of American women. Kenny finds a 96% confidence interval for the mean height of American men. The standard deviation of American women's heights is 3.5 inches, while the standard deviation of American men's heights is 4 inches. Whose confidence interval is more likely to capture the true population mean, Mindy or Kenny's? Or are they equally likely? а. Explain your answer. b. Whose confidence interval will have a larger margin of error, Mindy or Kenny's? Or will they be the same? Explain your answer.

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QUESTION 10
Mindy finds a 96% confidence interval for the mean height of American women. Kenny finds a 96% confidence interval for the
mean height of American men. The standard deviation of American women's heights is 3.5 inches, while the standard deviation of
American men's heights is 4 inches.
а.
Whose confidence interval is more likely to capture the true population mean, Mindy or Kenny's? Or are they equally likely?
Explain your answer.
b.
Whose confidence interval will have a larger margin of error, Mindy or Kenny's? Or will they be the same?
Explain your answer.
Transcribed Image Text:QUESTION 10 Mindy finds a 96% confidence interval for the mean height of American women. Kenny finds a 96% confidence interval for the mean height of American men. The standard deviation of American women's heights is 3.5 inches, while the standard deviation of American men's heights is 4 inches. а. Whose confidence interval is more likely to capture the true population mean, Mindy or Kenny's? Or are they equally likely? Explain your answer. b. Whose confidence interval will have a larger margin of error, Mindy or Kenny's? Or will they be the same? Explain your answer.
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