Suppose that you are testing the hypotheses Ho: μ=89 vs. H: 89. A sample of size 51 results in a sample mean of 84 and a

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Suppose that you are testing the hypotheses Ho: μ=89 vs. H: 89. A sample of size 51 results in a sample mean of 84 and a sample standard deviation of 1.3. 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 μ. d) Based on the confidence interval, at a = 0.010 can you reject H₂? Explain. a) The standard error of the mean is (Round to four decimal places as needed.) ACIDE