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 work on various shifts. A sample of five workers is selected and their output recorded on each shift. At the 0.01 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 25 22 25 Lum 21 22 21 Clark 37 27 31 Treece 33 29 26 Morgan 35 26 34 Click here for the Excel Data File a-1. Which of the following is the null hypothesis for the treatments? multiple choice 1 μDay > μAfternoon > μNight μDay = μAfternoon = μNight μDay < μAfternoon < μNight Not all means equal. a-2. Which of the following is the alternate hypothesis for the treatments? multiple choice 2 μDay > μAfternoon > μNight μDay = μAfternoon = μNight μDay < μAfternoon < μNight Not all means equal. b. State the decision rule for treatments. (Round your answer to 2 decimal places.) c-1. Which of the following is the null hypothesis for the blocks? multiple choice 3 μS = μL = μC = μT = μM μS > μL > μC > μT > μM μS < μL < μC < μT < μM Not all means are equal. c-2. Which of the following is the alternate hypothesis for the blocks? multiple choice 4 μS = μL = μC = μT = μM μS > μL > μC > μT > μM μS < μL < μC < μT < μM Not all means are equal. Also, state the decision rule for blocks. (Round your answer to 2 decimal places.) d & e. Compute SST, SSB, SS total, and SSE and complete an ANOVA table. (Round your SS, F value to 2 decimal places, MS 3 decimal places and p-value to 4 decimal places.)

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Description: 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 work on various shifts. A sample of

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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 work on various shifts. A sample of five workers is selected and their output recorded on each shift. At the 0.01 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	25	22	25
Lum	21	22	21
Clark	37	27	31
Treece	33	29	26
Morgan	35	26	34

Click here for the Excel Data File

a-1. Which of the following is the null hypothesis for the treatments?

multiple choice 1

μ_Day > μ_Afternoon > μ_Night
μ_Day = μ_Afternoon = μ_Night
μ_Day < μ_Afternoon < μ_Night
Not all means equal.

a-2. Which of the following is the alternate hypothesis for the treatments?

multiple choice 2

μ_Day > μ_Afternoon > μ_Night
μ_Day = μ_Afternoon = μ_Night
μ_Day < μ_Afternoon < μ_Night
Not all means equal.

b. State the decision rule for treatments. (Round your answer to 2 decimal places.)

c-1. Which of the following is the null hypothesis for the blocks?

multiple choice 3

μ_S = μ_L = μ_C = μ_T = μ_M
μ_S > μ_L > μ_C > μ_T > μ_M
μ_S < μ_L < μ_C < μ_T < μ_M
Not all means are equal.

c-2. Which of the following is the alternate hypothesis for the blocks?

multiple choice 4

μ_S = μ_L = μ_C = μ_T = μ_M
μ_S > μ_L > μ_C > μ_T > μ_M
μ_S < μ_L < μ_C < μ_T < μ_M
Not all means are equal.

Also, state the decision rule for blocks. (Round your answer to 2 decimal places.)

d & e. Compute SST, SSB, SS total, and SSE and complete an ANOVA table. (Round your SS, F value to 2 decimal places, MS 3 decimal places and p-value to 4 decimal places.)

f-1. Give your decision regarding the two sets of hypotheses.

f-2. Interpret the results.

Shifts

Employee

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