Suppose that you are testing the hypotheses H,: = 81 vs. HA: H # 81. A...

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Suppose that you are testing the hypotheses H,: µ= 81 vs. HA: H # 81. A sample of size 31 results in a sample mean of 86 and a sample standard deviation of 1.5. a) What is the standard error of the mean? b) What is the critical value of t* for a 90% confidence interval? c) Construct a 90% confidence interval for µ. d) Based on the confidence interval, at a = 0.100 can you reject H,? Explain. a) The standard error of the mean is (Round to four decimal places as needed.) Suppose that you are testing the hypotheses H,: µ= 81 vs. HA: H # 81. A sample of size 31 results in a sample mean of 86 and a sample standard deviation of 1.5. a) What is the standard error of the mean? b) What is the critical value of t* for a 90% confidence interval? c) Construct a 90% confidence interval for µ. d) Based on the confidence interval, at a = 0.100 can you reject H,? Explain. a) The standard error of the mean is (Round to four decimal places as needed.)