module_7_assignment.xlsx
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0.
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phone
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Time |
Location |
| 10 |
.9 A problem with a telephone line that prevents a
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8 |
1
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customer from receiving or making calls is upsetting to |
1.
| 7 |
5 |
1
both the customer and the telephone company. The file |
0.78 |
1
contains samples of
| 20 |
problems reported to two
2.85 |
1
different offices of a telephone company and the time to |
| 0.52 |
1
clear these problems (in minutes) from the customers’ |
| 1.
| 6 |
0
1
lines: |
4.
| 15 |
1
| 3 |
.97
1
a. Assuming that the population variances from both offices |
1.48 1
are equal, is there evidence of a difference in the |
3.10 |
1
mean waiting time between the two offices? (Use a = 0.05. |
1.02 |
1
b. Find the p-value in (a) and interpret its meaning. |
0.53 |
1
c. What other assumption is necessary in (a)? |
0.93 |
1
1.60 1
0.80 |
1
1.05 |
1
6.32 |
1
3.93 |
1
| 5.4 |
5
1
0.97 |
1
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| 7.5 |
5
2
| 3.75 |
2
0.10 |
2
1.10 |
2
| 0.60 |
2
0.52 2
3.30 |
2
2.10 |
2
0.58 |
2
4.02 |
2
3.75 2
0.65 |
2
1.92 |
2
0.60 2
1.53 |
2
4.
| 23 |
2
0.08 |
2
1.48 2
1.65 |
2
0.72 |
2
10.
11 |
Digitalcameras
| Subcompact |
| Compact |
10.11 An important feature of digital cameras is battery life, |
| 300 |
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the number of shots that can be taken before the battery needs |
| 310 |
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| 450 |
to be recharged. The file contains the battery |
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| 290 |
450
life of 29 subcompact cameras and
| 16 |
compact cameras.
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| 280 |
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| 260 |
(Data extracted from “Digital Cameras,” Consumer Reports, |
| 250 |
| 350 |
July
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| 200 |
9, pp. 28–29.)
200
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0
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| 330 |
330
a. Assuming that the population variances from both types |
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| 240 |
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| 22 |
0
of digital cameras are equal, is there evidence of a difference |
280
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| 230 |
in the mean battery life between the two types of |
240 260
digital cameras (a = 0.05)? |
200 280
b. Determine the p-value in (a) and interpret its meaning. |
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| 220 |
400
280
| 500 |
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| 21 |
0
200
260
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220
| 13 |
0
240
| 210 |
| 205 |
290
| 160 |
280
200
| 14 |
0
230
220
200
| 17 |
0
150
10.21Measurement
Sample |
In-Line |
Analytical lab |
10.21 In industrial settings, alternative methods often exist |
1
| 8.01 |
8.01
for measuring variables of interest. The data in |
2
7.56 |
7.29 |
(coded to maintain confidentiality) represent |
3
|
| 7.4 |
7
7.54 |
measurements in-line that were collected from an analyzer |
4 7.4
7.42 |
during the production process and from an analytical lab. |
5
| 7.8 |
3
7.8
(Data extracted from M. Leitnaker, “Comparing Measurement |
6 7.5
| 7.6 |
5
Processes: In-line Versus Analytical Measurements,” |
7
6.86 |
6.93 |
Quality Engineering, 13, 2000–2001, pp. 293–298.) |
8
7.31 |
7.46 |
a. At the 0.05 level of significance, is there evidence of a |
9
7.45 |
7.6
difference in the mean measurements in-line and from an |
10
7.23 |
7.4
analytical lab? |
11
7.37 |
7.5
| b. What assumption is necessary about the population |
12 |
7.49 |
7.41 |
| distribution in order to perform this test? |
13
6.21 |
6.25 |
14
6.68 |
6.54 |
15
5.12 |
5.2 |
16
| 4.84 |
4.7 |
17 4.84
4.82 |
18 |
5.21 |
| 5.3 |
3
19 |
5.35 |
5.3
20
5.6 |
5.4
21
5.32 |
5.39 |
22
5.16 |
5.17 |
23
5.66 |
5.5 |
24
6.31 |
6.24 |
10.23 Ad Pages
Magazine |
2008 |
2009 |
10.23 In tough economic times, the business staff at |
Details |
72.31 |
48.42 |
magazines are challenged to sell advertising space in their |
Esquire |
66.69 |
42.79 |
publications. Thus, one indicator of a weak economy is the |
Field & Stream |
48.65 |
42.82 |
decline in the number of “ad pages” that magazines have |
Flex |
219.61 |
231.58 |
sold. The file contains the number of ad pages |
GQ |
99.21 |
60.35 |
found in the May 2008 and May 2009 issues of 12 men’s |
Maxim |
68.5 |
41.82 |
magazines. (Data extracted from W. Levith, “Magazine |
Men’s Fitness |
99.43 |
67.63 |
Monitor,” Mediaweek, April 20, 2009, p. 53.) |
Men’s Health |
90.88 |
74.45 |
a. At the 0.05 level of significance, is there evidence that |
Men’s Journal |
183.1 |
88.34 |
the mean number of ad pages was higher in May 2008 |
Mucscle & Fitness |
169.63 |
198.93 |
than in May 2009? |
Outdoor Life |
41.39 |
30.16 |
b. What assumption is necessary about the population
Outside |
126.97 |
103.58 |
distribution in order to perform this test?
c. Use a graphical method to evaluate the validity of the |
assumption in (b). |
d. Construct and interpret a 95% confidence interval |
estimate of the difference in the mean number of ad pages |
in men’s magazines between May 2008 and May 2009. |
10.49 Digital Cameras
Subcompact Compact
10.49 Do young children use cell phones? Apparently so, |
300 400
according to a recent study (A. Ross, “Message to Santa; |
310 450
Kids Want a Phone,” Palm Beach Post, December 16, 2008, |
290 450
pp. 1A, 4A), which stated that cell phone users under |
280 260
12 years of age averaged 137 calls per month as compared |
250 350
to 231 calls per month for cell phone users 13 to 17 years of |
200 240
age. No sample sizes were reported. Suppose that the results |
330 330
were based on samples of 50 cell phone users in each group |
240 220
and that the sample standard deviation for cell phone users |
280 230
under 12 years of age was 51.7 calls per month and the sample |
240 260
standard deviation for cell phone users 13 to 17 years of |
200 280
age was 67.6 calls per month. |
220 400
a. Using a 0.05 level of significance, is there evidence of a |
280 500
difference in the variances of cell phone usage between |
210 200
cell phone users under 12 years of age and cell phone |
260 150
users 13 to 17 years of age? |
220
130 |
b. On the basis of the results in (a), which t test defined in |
240
Section 10.1 should you use to compare the means of the |
210
two groups of cell phone users? Discuss. |
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290
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280
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140 |
230
220
200
170 |
150
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