2. A company which makes concrete slabs are testing the cube compressive strength (in N/mm?) of their slabs. They take a random sample of 5 slabs and measure their cube compressive strength. The following are their observations. 35.1 36.4 35.8 36.1 38.9 (a) [1 mark] Give the command and output to test the alternative hypothesis that u, the true mean cube compressive strength is greater than 35 N/mm. (b) [1 mark] What is the observed value of the test statistic? (c) [1 mark] What is the p-value for our test? (d) [1 mark] Suppose we are testing at a significance level of a = 0.05, what would the conclusion be? (e) [1 mark] What assumption do you need to make about the population of the cube compressive strength of concrete slabs in order for the answers in (a) to (d) to be valid