The distribution of weights (in pounds) of male students at a college is approximately normal with an unknown mean u and with an approximate standard deviation x = 15.3 lb. Consider random samples of 16 male students and let X denote the variable for the average weights of random samples of 16 male students. (a) What is the standard error of X with samples of size 16? (b) What is the distribution of X with samples of size 16? (c) Determine the minimum sample size n to ensure that the margin of error, E, of a two-sided confidence interval for u is at most 5 lb at 95% level of confidenc

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The distribution of weights (in pounds) of male students at a college is approximately
normal with an unknown mean u and with an approximate standard deviation x = 15.3 lb. Consider
random samples of 16 male students and let X denote the variable for the average weights of random
samples of 16 male students.
(a) What is the standard error of X with samples of size 16?
(b) What is the distribution of X with samples of size 16?
(c) Determine the minimum sample size n to ensure that the margin of error, E, of a two-sided
confidence interval for u is at most 5 lb at 95% level of confidence.

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