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A company operates three shifts every day of the week. Each shift includes full-

ID: 3126587 • Letter: A

Question

A company operates three shifts every day of the week. Each shift includes full-time hourly workers, nonsupervisory salaried employees, and supervisors/manager. The company would like to know if there is a difference and the shift in terms of the number of hours of work missed due to employee fitness. To control for differences that might exist across employee groups, the company randomly selects on employee from each employee group shifts and records the number of hours missed for one years The results of the study are shown is the accompanying table complete p a through c develop the appropriate test to determine whether blocking is effective or not calculate the test at the alpha = 0.10 level of significant Determine the null and alternative hypothesis for this test. Choose the correct answer below What is the F-test statistic for this test? What is the f-critical value for this test?

Explanation / Answer

a).      Option C.

F statistic =2.26

F critical =4.325

2.26 < 4.325, The null hypothesis is not rejected.

SUMMARY

Count

Sum

Average

Variance

H

3

133

44.3333

69.3333

N

3

150

50.0000

19.0000

S/M

3

145

48.3333

42.3333

shift1

3

122

40.6667

26.3333

shift2

3

151

50.3333

4.3333

shift3

3

155

51.6667

17.3333

ANOVA

Source of Variation

SS

df

MS

F

P-value

F crit

Block

50.8889

2

25.4444

2.26

0.2208

4.325

Shift

216.2222

2

108.1111

9.59

0.0298

4.325

Error

45.1111

4

11.2778

Total

312.2222

8

Level of significance

0.1

SUMMARY

Count

Sum

Average

Variance

H

3

133

44.3333

69.3333

N

3

150

50.0000

19.0000

S/M

3

145

48.3333

42.3333

shift1

3

122

40.6667

26.3333

shift2

3

151

50.3333

4.3333

shift3

3

155

51.6667

17.3333

ANOVA

Source of Variation

SS

df

MS

F

P-value

F crit

Block

50.8889

2

25.4444

2.26

0.2208

4.325

Shift

216.2222

2

108.1111

9.59

0.0298

4.325

Error

45.1111

4

11.2778

Total

312.2222

8

Level of significance

0.1

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