someone pls help me with this

Q3. (25 points) a) Suppose X1, . . . ,Xn are identical, normally distributed random variables with unknown mean p and unknown variance (:2. We are interested in testing a hypothesis that the population mean is no less than 2: (i) state the null and alternative hypotheses, (ii) write down a formula for the test statistic in terms of X1,...,X,, and n only; (iii) explain what distribution is used for critical values; (iv) state the decision rule. b) Test the hypothesis in (a) at the 5% signicance level for a sample of size 15, with the sample mean equal to 1 and the estimated variance of X,- equal to 30. Interpret the result of the test. 0) Find the pvalue for (b)