Question: A random sample has 49 values. The sample mean is 8.5 and the sample standard deviation is 1.5. Use a level of significance of 0.01

A random sample has 49 values. The sample mean is 8.5 and the sample standard deviation is 1.5. Use a level of significance of 0.01 to conduct a left-tailed test of the claim that the population mean is 9.2.
(a) Is it appropriate to use a Student’s t distribution? Explain. How many degrees of freedom do we use?
(b) What are the hypotheses?
(c) Compute the sample test statistic t.
(d) Estimate the P-value for the test.
(e) Do we reject or fail to reject H0?
(f) Interpret the results.

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