Chapin Manufacturing Company operates 24 hours a day, five 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 ProducedEmployeeDayAfternoonNightSkaff372734Lum352638Clark242322Treece222025Morgan302637  What is your decision regarding H0? (Round your answers to 2 decimal places.)from tretmant: reject H0 if F>from block:Reject H0 if F>   2.What is your conclusion?       Next Visit question mapQuestion 6 of 7 Total6of 7Prev

Question
Asked Sep 17, 2019
297 views

Chapin Manufacturing Company operates 24 hours a day, five 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 37 27 34
Lum 35 26 38
Clark 24 23 22
Treece 22 20 25
Morgan 30 26 37
 

 

  1. What is your decision regarding H0? (Round your answers to 2 decimal places.)

from tretmant: reject H0 if F>

from block:Reject H0 if F>

 

 

 

2.What is your conclusion?

 

 

 

 

 
 
 
Next Visit question map
Question 6 of 7 Total6of 7
Prev
 
check_circle

Expert Answer

Step 1

In order to test whether there is a difference in the mean production rate by shift or by employee, two-factor ANOVA is appropriate.

Here, the column represents treatments and row represents blocks.

Two-factor ANOVA:

Step-by-step procedure to perform two-factor ANOVA using excel:

  • Enter the data in sheet1
  • Select Data > Data Analysis.
  • Choose Anova: Two-factor without replication.
  • In Input Range, select $B$1:$D$6.
  • In Alpha, enter 01.
  • Click

The output obtained is as follows.

Anova: Two-Factor Without Replication
Average Variance
SUMMARY
Count
Sum
98 32.66667 26.33333
Row 1
3
Row 2
33
39
99
Row 3
69
23
1
Row 4
67 22.33333 6.333333
Row 5
93
31
31
Column 1
29.6
5
148
43.3
Column 2
122
24.4
8.3
Column 3
5
156
31.2
52.7
ANOVA
Source of Variation
p-value
F crit
df
MS
SS
F
Rows
336.2667
4 84.06667
8.30972 0.005982 7.006077
Columns
126.4
2
63.2 6.247117 0.023218 8.649111
Error
80.93333
8 10.11667
Total
543.6
14
un unn
help_outline

Image Transcriptionclose

Anova: Two-Factor Without Replication Average Variance SUMMARY Count Sum 98 32.66667 26.33333 Row 1 3 Row 2 33 39 99 Row 3 69 23 1 Row 4 67 22.33333 6.333333 Row 5 93 31 31 Column 1 29.6 5 148 43.3 Column 2 122 24.4 8.3 Column 3 5 156 31.2 52.7 ANOVA Source of Variation p-value F crit df MS SS F Rows 336.2667 4 84.06667 8.30972 0.005982 7.006077 Columns 126.4 2 63.2 6.247117 0.023218 8.649111 Error 80.93333 8 10.11667 Total 543.6 14 un unn

fullscreen
Step 2

Decision regarding H0:

Null hypothesis:

There is no difference in the mean production rate by shift.

There is no difference in the mean production rate by employee.

Alternative hypothesis:

There is difference in the mean production rate by shift.

There is difference in the mean production rate by employee.

Critical value for treatment:

The critical value for treatment is obtained as 8.6491 using the excel formula, “=F.INV.RT(0.01,2,8)&rdqu...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Related Statistics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: Question 3: Prabjot Kaur-359, has just begun her new job as Manager on the sales force of a very com...

A: GivenSample size = 16Mean = $108Standard deviation = $12Significance level = 5%Null Hypothesis Ho : ...

question_answer

Q: The comparison of two variables is known as: ___________________________________.

A: The comparison of two variables is done by a hypothesis testFor example t-test compares the means of...

question_answer

Q: Determine the simplified sum of 7/24 and 1/6

A: The simplified sum is as follows:

question_answer

Q: Please, I need a detailed and a step by step solutions to the problem. I don't have a strong backgro...

A: Click to see the answer

question_answer

Q: I am not sure how to find the width  of each class of numbers without the range and can not use a fo...

A: Class width is  given by difference of upper limits of any 2 consecutive classes. Class width can al...

question_answer

Q: Hugo averages 76 words per minute on a typing test with a standard deviation of 12.5 words per minut...

A: The z-score:The z-score for a value x, when X has a normal distribution with mean μ and standard dev...

question_answer

Q: A researcher was once criticized for falsifying data. Among his data were figures obtained from 44 g...

A: There seems to be printing mistake in a given question.Here 4 groups of rats with 20 individual rats...

question_answer

Q: number 19 on attached photo

A: It is given that, the set of scores are 3, 2, 5, 1 and 3.

question_answer

Q: Image is attached regarding Question

A: Given Data2 independent variables and 65 observationsSSR = 12370.8 , SST =35963, Sb1=0.33, Sb2=0.20S...