10. The amount of time it takes a student to solve a homework problem in mathematical statistics (in minutes) follows a normal distribution with unknown mean u and a variance equal to m2. Find the most powerful test to verify the null hypothesis that u that u 2k against the alternative on the base of k independent observations, at a significance level of n%. Calculate 3 the power of this test (for the alternative hypothesis). What is the decision, based on a sample of observations equal to k + 5, k + 6, . , 2k +4?