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The Heights of a Simple Random Sample of 400 Male σ\sigma

Question 2

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The heights of a simple random sample of 400 male high school sophomores in a Midwestern state are measured.The sample mean is  The heights of a simple random sample of 400 male high school sophomores in a Midwestern state are measured.The sample mean is   = 66.2 inches.Suppose that the heights of male high school sophomores follow a Normal distribution with a standard deviation of  \sigma = 4.1 inches.Suppose the heights of a simple random sample of 100 male sophomores were measured rather than 400.Which of the following statements is true? A) The margin of error for the 95% confidence interval would increase. B) The margin of error for the 95% confidence interval would decrease. C) The margin of error for the 95% confidence interval would stay the same because the level of confidence has not changed. D) The standard deviation  \sigma  would decrease. = 66.2 inches.Suppose that the heights of male high school sophomores follow a Normal distribution with a standard deviation of σ\sigma = 4.1 inches.Suppose the heights of a simple random sample of 100 male sophomores were measured rather than 400.Which of the following statements is true?


A) The margin of error for the 95% confidence interval would increase.
B) The margin of error for the 95% confidence interval would decrease.
C) The margin of error for the 95% confidence interval would stay the same because the level of confidence has not changed.
D) The standard deviation σ\sigma would decrease.

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