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. Yes, because the x distribution is mound-shaped and symmetric and is unknown. No, the x distribution is skewed left. No, the x distribution is skewed right. No, the x distribution is not symmetric. No, is known.

How many degrees of freedom do we use?

What are the hypotheses? H0: = 13.5; H1: < 13.5 H0: > 13.5; H1: = 13.5 H0: < 13.5; H1: = 13.5 H0: = 13.5; H1: > 13.5 H0: = 13.5; H1: 13

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

t=

Estimate the P-value for the test.

P-value > 0.250 0.100 < P-value < 0.250 0.050 < P-value < 0.100 0.010 < P-value < 0.050 P-value < 0.010

Do we reject or fail to reject H0? At the = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant. At the = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant. At the = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant. At the = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.