Question: Suppose that you are testing the hypotheses H Subscript 0: muequals13 vs. H Subscript A: muless than13. A sample of size 25 results in a

Suppose that you are testing the hypotheses H Subscript 0: muequals13 vs. H Subscript A: muless than13. A sample of size 25 results in a sample mean of 12.5 and a sample standard deviation of 2.5. 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 mu. d) Based on the confidence interval, at alphaequals0.025 can you reject H Subscript 0? Explain. Question content area bottom Part 1 a) The standard error of the mean is enter your response here. (Type an integer or a decimal.) Part 2 b) The critical value is t*equals enter your response here. (Round to three decimal places as needed.) Part 3 c) The 95% confidence interval for mu is left parenthesis nothing comma nothing right parenthesis (Round to two decimal places as needed.) Part 4 d) Since the hypothesized mean enter your response here is less than is one of is greater than the values contained in the confidence interval, reject do not reject H Subscript 0. (Type an integer or a decimal.)

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