
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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The data in the table below presents the hourly quantity of production for three lines of production processes over the first 4 days in XYZ Company. Answer the questions based on the Excel Output given below.
Day |
Process 1 |
Process 2 |
Process 3 |
1 |
33 |
33 |
28 |
2 |
30 |
35 |
36 |
3 |
28 |
30 |
30 |
4 |
29 |
38 |
34 |
ANOVA: Single Factor
SUMMARY
Groups |
Count |
Sum |
Average |
Variance |
Process 1 |
4 |
120 |
30 |
4.66667 |
Process 2 |
4 |
136 |
34 |
11.3333 |
Process 3 |
4 |
128 |
32 |
13.3333 |
ANOVA
Source of Variation |
SS |
df |
MS |
f |
P-value |
Between groups |
32 |
? |
? |
? |
|
Within groups |
88 |
? |
? |
|
|
Total |
120 |
11 |
|
|
|
- State the null and alternative hypothesis for single factor ANOVA.
- State the decision rule (α = 0.05).
- Calculate the test statistic.
- Make a decision.
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- The Precision Machining Company makes hand-held tools on an assembly line that produces one product every minute. On one of the products, the critical quality dimension is the diameter (measured in thousandths of an inch) of a hole bored in one of the assemblies. Management wants to detect any shift in the process average diameter from 0.010 in. Management considers the variance in the process to be in control. Historically, the average range has been 0.002 in., regardless of the process average. Design an x-chart to control this process, with a center line at 0.010 in. and the control limits set at three sigmas from the center line. Management provided the results of 80 minutes of output from the production line, as shown in the table below. During these 80 minutes, the process average changed once. All measurements are in thousandths of an inch. Sample data for Precision Machining Company Diameter (thousandths of an inch) Minutes 1- 12 10 11 13 11 12 10 9. 8 11 12 13 - 24 10 11 12 11…arrow_forwardwhat does MS stand for in analysis of variance?arrow_forwardThe data in the table below presents the hourly quantity of production for three lines of productionprocesses over the first 4 days in XYZ Company. Answer the questions based on the Excel Output givenbelow.Day Process 1 Process 2 Process 31 33 33 282 30 35 363 28 30 304 29 38 34 ANOVA: Single FactorSUMMARYGroups Count Sum Average VarianceProcess 1 4 120 30 4.66667Process 2 4 136 34 11.3333Process 3 4 128 32 13.3333 ANOVSource of Variation SS df MS F P valueBetween Groups 32 ? ? ?Within Groups 88 ? ?Total 120 11a. State the null and…arrow_forward
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