Question 1:
Compute a one-way ANOVA on the following data.
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1
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2
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3
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4
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5
|
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'14
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16:
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11
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16•
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14
|
|
13
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9.
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12
|
17
|
12
|
|
10
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12'•
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13
|
14
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13
|
|
|
9•
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12
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16
|
13
|
|
|
10
|
|
17
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12
|
|
|
|
|
|
14
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Determine the observed F value. Compare the observed F value with the critical table F value and decide whether to reject the null hypothesis. Use α = .01.
Question 2:
Use the following data for parts (a) through (f).
x 5 7 3 16 12 9
Y 8 9 11 27 15 13
a. Determine the equation of the least squares regres¬sion line to predict y by x.
b. Using the x values, solve for the predicted values of y and the residuals.
c. Solve for se.
d. Solve for r2.
e. Test the slope of the regression line. Use α = .01.
f. Comment on the results determined in parts (b) through (e), and make a statement about the fit of the line.
Question 3:
A food-processing company makes potato chips, pretzels, and cheese chips. Although its products are packaged and sold by weight, the company has been taking sample bags of cheese chips and counting the number of chips in each bag. Shown here is the number of chips per bag for five samples of seven bags of chips. Use these data to construct an x' chart and an R chart. Discuss the results.
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Sample 1
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Sample 2
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Sample 3
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Sample 4
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Sample 5
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|
25
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22
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30
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32
|
25
|
|
23
|
21
|
23
|
26
|
23
|
|
29
|
24
|
22
|
27
|
29
|
|
31
|
25
|
26
|
28
|
27
|
|
26
|
23
|
28
|
25
|
27
|
|
28
|
26
|
27
|
25
|
26
|
|
27
|
29
|
21
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31
|
24
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Question 4:
Use the Kruskal-Wallis to determine whether there is a significant difference in the following groups. Use α = .05.
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Group 1
Group 2
Group 3
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19
30
39
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21
38
32
|
29
35
41
|
22
24
44
|
37
29
30
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42
27
33
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