Random samples of 200 men and 200 women were collected and their resting pulse rates were measured, to estimate how much mean resting pulse rates differ for men and women in the population. An analyst mistakenly paired the observations and constructed an approximate 95% confidence interval for the mean difference to be (5 2×0.2) beats per minute. If the data had been analyzed correctly, finding an approximate 95% confidence interval for the difference in population means, which of the following parts of the interval would be different?
A) The sample statistic of 5 beats per minute.
B) The multiplier of 2.
C) The standard error of 0.2.
D) None of the parts would be different; it is an equivalent analysis.
Correct Answer:
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