Solve these 2 questions

Question 1 A population mean is 13. The sample mean is 12.8, and the sample standard deviation s is two. The sample size is 20. What distribution should you use to perform a hypothesis test? Assume the underlying individual distribution is normal. (** First - decide if you need a Normal or t distribution for the mean. Then, if Normal, use the correct mean/std.error, if t, use the correct degrees of freedom) ON (12.8, 2 V20 Ot 20 Ot19 ON (13, 2 V20 Question 3 0 / 3 points The mean age of graduate students at a University is at most 31 years with a standard deviation of two years. A random sample of 15 graduate students is taken. The sample mean is 32 years and the sample standard deviation is three years. Are the data significant at the 1% level? The p-value is 0.0264. Yes No Cannot be determined