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Item 3 Exc. 3 Chapin Manufacturing Company operates 24 hours a day, 5 days a week. The workers rotate shifts each week. Management is interested

Item 3 Exc. 3

Chapin Manufacturing Company operates 24 hours a day, 5 days a week. The workers rotate shifts each week. Management is interested in whether there is a difference in the number of units produced when the employees worked on various shifts . A sample of five workers is selected and their output recorded on each shift. At the 0.05 significance level, can we conclude there is a difference in the mean production rate by shift or by employee?

Units Produced

Employee

Day

Afternoon

Night

Skaff

31

25

35

Lum

33

26

33

Clark

28

24

30

Treece

30

29

28

Morgan

28

26

27

a. The Null Hypothesis

________

b. The Alternate Hypothesis

________

c. The significance level of the test

________

d. Pvalue

________

e Decision based upon test data

I Reject the Null Hypothesis ii. Do not reject the Null Hypothesis

iii Insufficient Information to make a decision.

________

  1. Decision based upon the data in the words of the question.
  2. Complete the ANOVA Table

Source of Variation

SS

df

MS

F

Pvalue

Treatments (Between Treatments}

Blocks (Between Blocks)

Error (Within Groups)

Total

Enter answers to two decimal places except for the pvalue witch should be entered to four 4 decimal places.

  1. Is there a difference in the performance levels of the five workers?

_______

  1. Does including the performance levels of the workers in the analysis affect the study decision? On what basis did you make your decision?

Item 4 Exc 4

There are three hospitals in the Tulsa Oklahoma area. The following data shows the number of outpatient surgeries on Monday, Tuesday, Wednesday, Thursday, and Friday at each hospital last week. At the 0.05 significant level, can we conclude there is difference in the mean number of surgeries performed by hospital or by the day of the week?

Level of Physical Fitness

Day

St Lukes

St Vincent

Mercy

Monday

14

18

24

Tuesday

20

24

14

Wednesday

16

22

14

Thursday

18

20

22

Friday

20

28

24

a. The Null Hypothesis

_____

b. The Alternate Hypothesis

_____

  1. The significance level of the test

_____

  1. Pvalue

_____

  1. Decision based upon test data.

  1. Reject the Null Hypothesis ii. Do not reject the Null Hypothesis
  2. Insufficient Information to decide.

_____

  1. Decision based upon the data in the words of the question.

  1. Complete the ANOVA Table

Source of Variation

SS

df

MS

F

Pvalue

Treatments (Between Treatments}

Blocks (Between Blocks

Error (Within Groups)

Total

Enter answers to two decimal places except for the pvalue witch should be entered to four 4 decimal places.

  1. Is there a difference in the outpatient surgeries based upon the day of the week?

_______

  1. Does including the days of the week data affect the study decision? On what basis did you make your decision?

_______

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