A random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample mean Is 7 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 6.5. (a) Is it appropriate to use a student's t distribution? Explain. Yes, because the x distribution is mound-shaped and symmetric and of Is unknown. O No, the x distribution Is skewed left. O No , the x distribution Is skewed right. O No, the x distribution Is not symmetric. O NO, O Is known. How many degrees of freedom do we use? (b) what are the hypotheses? O Ho! ( > 6.5, H, : M = 6.5 O Holy 6.5 (c) Compute the t value of the sample test statistic. (Round your answer to three decimal places.) (d) Estimate the P-value for the test. O P-value > 0.500 O 0.250