A random sample of 36 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 14 and the sample standard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 13.5.

Is it appropriate to use a Student's t distribution? Explain.

How many degrees of freedom do we use?

What are the hypotheses?

Compute the t value of the sample test statistic. (Round your answer to three decimal places.)

t=

Estimate the P-value for the test.

Do we reject or fail to reject H0?