Answer all questions with detailed explanation

We have a simple random sample of size n, denoted by X1,X2,...,Xnwith E(Xi)= and var(Xi)=2. The parameter values and 2 are unknown. Define the sample mean X and sample standard deviation s as usual. Suppose that we want to test if the population mean is different from a particular value m, with hypotheses H0:=m and HA:m at 5% significance level. Are the following statements true or false? Briefly explain your answer. If you have calculated the t statistic and its p-value is 0.02, then (1) you should reject the null hypothesis, (2) and accept the alternative hypothesis.