A company compares the efficiency of two work methods by exposing 14 of its employees to work method 1, and a second set of 14 employees to work method 2. Efficiency is measured as time to task completion (in minutes). a. Formulate the null and alternative hypothesis that can be used to test whether work methods 1 and 2 differ in their efficiency. (5 marks) Table 4 gives partial results for a two-sample hypothesis test for the average efficiency of work methods 1 and 2: Table 4. Two-sample hypothesis test for average efficiency Method 1 Method 2 Sample mean 6.58 5.86 df 22 test statistic 3.59 b. Assuming a significance level of 0.05, what would be the critical value(s)? (5 marks) c. Does the relevant hypothesis test suggest that the two work methods differ in their efficiency? If so, then which work method appears more efficient? Please use the critical value approach and assume a significance level of 0.05. (5 marks) d. What is the probability that the mean difference in Table 4 is actually consistent with the null hypothesis