Experience has shown that the scores obtained in a particular test are Normally distributed with mean score 70 and standard deviation 6. When the

Experience has shown that the scores obtained in a particular test are Normally distributedwith mean score 70 and standard deviation 6. When the test is taken by a random sample of 36students, the mean score is 68.5. Is there sufficient evidence, at the 3% significance level, thatthese students have not performed as well as expected?(a) Showing clearly how you obtain your answer, calculate the P-value for the test.(b) What conclusion can you draw at the 3% significance level?