Suppose that you are testing the hypotheses H0: m = 205 vs. HA: m 205. A sample

Question:

Suppose that you are testing the hypotheses H0: m = 205 vs. HA: m 205.

A sample of size 50 results in a sample mean of 195 and a standard deviation of 14.

a) What is the standard error of the mean?

b) What is the critical value of t* for a 99% confidence interval?

c) Construct a 99% confidence interval for m.

d) Based on the confidence interval, at a = 0.01 can you reject H0? Explain.

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