A random sample of 16 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 0105 to conduct a two-tailed test of the claim that the population mean is 13.5. l use SA (a) Is it appropriate to use a Student's t distribution? Explain. Yes, because the X distribution is mound-shaped and symmetric and (I is unknown. 0 No, the x distribution is skewed left. 0 No, the X distribution is skewed right. 0 No, the x distribution is not symmetric, O No, :7 is known. How many degrees of freedom do we use? X (b) What are the hypotheses? (J Ho: [1 > 13.5; H1: u = 13.5 13H0:;t = 13.5;H1:,1 13.5 V (c) Compute the 1' value of the sample test statistic. (Round your answer to three decimal places.) (d) Estimate the P-value for the test, I) P-value > 0.250 0.100