please guys be careful with the test statistics and p-value I been getting them wrong. also please send the answer a little bit faster ?

A random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 13 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 12.5. In USE SALT (a) Is it appropriate to use a Student's t distribution? Explain. O Yes, because the x distribution is mound-shaped and symmetric and o 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, a is known. How many degrees of freedom do we use? (b) What are the hypotheses? O Hill = 12.5; H,: 1 = 12.5 OHi H = 12.5; H, : 1 12.5; Hill = 12.5 OH : H = 12.5; H, : H > 12.5 OH: H