A researcher wants to test whether production errors differ by time of day (Day, Evening, and Nigh shift).She randomly assigns a group of accountants to each of three different shifts and measures the number of errors they make per month.She obtains the following results:

Test for a difference at = .05

Day

X= 11

2=23

n = 6

Evening

X=27

2=163

n = 6

Night

X=36

2=273

n = 6

STEP 1:State the null and alternative hypotheses.(2 points)

STEP 2:Set up the criteria for making a decision.That is, find the critical value.(1 point)

STEP 3:Compute the appropriate test-statistic.Show your work!(12 points)

(I have computed SStot for you)

Rows: Source Between Within Total

Columns: SS df MS F

SS of within: 101.3

STEP 4:Evaluate the null hypothesis (based on your answers to the above steps).(1 point)

STEP 5:Based on your evaluation of the null hypothesis, what is your conclusion?(1point)

A.Based on your decision about the null in the previous problem, is it appropriate to conduct a post-hoc test?(1 point)

B.Calculate the magnitude of effect for the previous problem and interpret what it means.(2 points)