Marks on a class test from a large statistics unit are known to follow a normal distribution. The marks from a random sample of 25 students are recorded and the mean mark is found to be equal to 55 with a standard deviation of 12. We wish to test:

H₀: = 52 (the population mean mark is 52)

H₁: 52 (the population mean mark is not equal to 52)

1. In this case, what will be an appropriate hypothesis test?(A) a z-test for a mean OR (B) a t-test for a meanAnswer
2. What is the estimated standard error of the sample mean? (1dp)Answer
3. What is the absolute value of the test statistic? (3dp)Answer
4. Using a 5% significance level what would be your decision? (A) Not Reject H₀ OR (B) Reject H₀Answer