33. Please use the following information to answer questions 33-39:

A researcher is testing the effect of a new flu vaccine on absenteeism from work. A sample of n = 9 employees are randomly selected from the normally distributed population and given the vaccine; then, the researcher measures how many times they were absent in the subsequent year. If the mean number of absences in the entire organization (i.e., in the population) are 4 per year, can the researcher conclude that the vaccine had an impact on absenteeism, and if so, how large was the effect? Use an of .05. Be sure to show all 5 steps.

Absences: 2 3 2 1 5 4 2 1 2

Step 1: Which of the following correctly represents the null and alternative hypothesis for the mentioned sample(MUST SHOW WORK FOR THIS PROBLEM)?

a. Ho: 4

H_1:< 4

b. Ho: 9

H_1:> 9

c. Ho:= 4

H_1: 4

d. Ho:> 1

H_1: 1

34. Step 2:Which of the followingrepresents the critical region for this mentioned sample(MUST SHOW WORK FOR THIS PROBLEM)?

a. t=2.31

b. t=2.31

c. t=-2.31

d. t=0.05

35. Compute the test statistic(t-observed)for the mentioned sample(MUST SHOW WORK FOR THIS PROBLEM).

36. Based on the calculated test statistic,would you reject the null hypothesis established in question 35 (MUST SHOW WORK FOR THIS PROBLEM)?

yes

no

37. Based on the previously conducted steps,we canconclude(MUST SHOW WORK FOR THIS PROBLEM):

a) The flu shot had a significant effect of subsequent absences

b) The flu shot reduced the number of subsequent absences

c)The flu shot did not have a significant effect on subsequent absences

d)none of these can be concluded

38. Compute Cohen's d.(MUST SHOW WORK FOR THIS PROBLEM)

39. Interpret Cohen's d(i.e., what does it tell you about the flu shot and absences?)

a. Rate of absenteeism changed by 3.55SD

b. Rate of absenteeism changed by 1.17SD

c. Cannot interpret Cohen's D meaningfully

d. Rate of absenteeism decreased by 3.55SD