Question

NCP manufactures printers and fax machines at plants located in City 1, City 2, and City...

NCP manufactures printers and fax machines at plants located in City 1, City 2, and City 3. To measure how much employees at these plants know about quality management, a random sample of 6 employees was selected from each plant and the employees selected were given a quality awareness examination. The examination scores for these 18 employees are shown in table given below. The sample means, sample variances, and sample standard deviations for each group are also provided. Managers want to use these data to test the hypothesis that the mean examination score is the same for all three plants.

Plant 1 Plant 2 Plant 3
City 1 City 2 City 3
74 61 82
76 71 82
74 63 84
86 74 81
81 68 82
71 65 93
Sample mean 77 67 84
Sample variance 30.4 24.4 20.4
Sample standard deviation 5.51 4.94 4.52

Set up the ANOVA table and test for any significant difference in the mean examination score for the three plants. Use a=0.5.

Source
of Variation
Sum
of Squares
Degrees
of Freedom
Mean Square
(to 2 decimals)

(to 2 decimals)
-value
(to 4 decimals)
Treatments
Error
Total

The p-value is - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 11 .

What is your conclusion?

Homework Answers

Answer #1

excel data analysis tool for one factor anova,steps are:

write data>menu>data>data analysis>anova :one factor>enter required labels>ok, and following o/p Is obtained,

Anova: Single Factor
SUMMARY
Groups Count Sum Average Variance
City 1 6 462 77 30.4
City 2 6 402 67 24.4
City 3 6 504 84.00 20.40
ANOVA
Source of Variation SS df MS F P-value
Between Groups 876.000 2 438.00 17.47 0.000
Within Groups 376.00 15 25.07
Total 1252.00 17

the p value is less than 0.01

since,p-value <α=0.05, reject Ho

hence, there is enough confidence that there is a significant difference in the mean examination score for the three plants at α=0.05

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