a. What population parameter is being tested? b. How many populations are being tested? c. Calculate the sample mean difference.d. what is the claim? e. the claim is? (Null or alternative) f. What is the alternative hypothesis? g. What is the test statistic? h. The critical region is best described as....(left,two, right tailed? i. What is the P value? j. What is the significance level? k. What is the statistical conclusion? l. What is the wordy conclusion? a) there is sufficient evidence to support the claim the employee efficiency improved after the productivity training course. b) there is not sufficient evidence to support the claim that employee efficiency improved after the productivity training course. c) there is not sufficient evidence to warrant rejection of the claim that employee efficiency improves after the productivity training course. d) there is sufficient evidence to warrant rejection of the claim that employee efficiency improved after the productivity training course.

An efficiency expert is hired to improve productivity at a company. She administers an efficiency to test a simple random sample of the employees, implements a productivity training course, and administers the efficiency test again one month later to the same employees tested originally. The efficiency test results are below. Employee # #1 #2 #3 #4 #5 #6 #7 #8 #9 #10 #11 #12 #13 #14 #15 Before 21 25 45 28 23 27 22 28 39 35 34 40 27 20 33 After 32 25 36 47 37 30 40 39 28 48 28 41 27 33 28 Test score differences are known to come from a normally distributed population. Use the p-value method and a 8% significance level to test the claim that employee efficiency improved after the productivity training course