Question

Suppose mu (μ) is the average height of a college male. You measure the heights (in inches) of twenty college men, with sample mean of 69.55 inches. and sample variance of 14.26 sq. inches. Suppose that the sample is drawn from a normal distribution with unknown mean mu (μ) and unknown variance σ^2
(a) Construct a 90% confidence interval for μ.
(b) Now suppose you are told that the height of a college male is normally distributed
with standard deviation 3.77 in. Construct a 90% confidence interval for μ .
(c) In (b), how many people in total would you need to measure to bring the width of the 90% confidence interval down to 1 inch?
(d) Now suppose X~ N(75, σ^2), where the random variable X denotes height of a
college male. Test whether this claim can be discarded at 90% level of significance.
(e) Compute the p-value for the test in (d).

Answer 1

Answer:

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