Question: Suppose that you are testing the hypotheses H0: = 80 vs. HA: 80. A sample of size 61 results in a sample

Suppose that you are testing the hypotheses H0: μ = 80 vs. HA: μ ≠ 80. A sample of size 61 results in a sample mean of 75 and a standard deviation of 1.5.
a) What is the standard error of the mean?
b) What is the critical value of t* for a 95% confidence interval?
c) Construct a 95% confidence interval for m.
d) Based on the confidence interval, at α = 0.05 can you reject H0? Explain.

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