module_7_assignment.xlsx
> 0. phone
.9 A problem with a telephone line that prevents a
1 1 1 problems reported to two
1 1 0
1 1 .97
1 1 1 1 1 1 1 1 1 5
1 1 5
2 2 2 2 2 2 2 2 2 3.75 2 2 2 0.60 2 2 2 2 2 2
2
1
9
Time
Location
10
1.
4
8
customer from receiving or making calls is upsetting to
1.
7
5
both the customer and the telephone company. The file
0.78
contains samples of
20
2.85
different offices of a telephone company and the time to
0.52
clear these problems (in minutes) from the customers’
1.
6
lines:
4.
15
3
a. Assuming that the population variances from both offices
1.48 1
are equal, is there evidence of a difference in the
3.10
mean waiting time between the two offices? (Use a = 0.05.
1.02
b. Find the p-value in (a) and interpret its meaning.
0.53
c. What other assumption is necessary in (a)?
0.93
1.60 1
0.80
1.05
6.32
3.93
5.4
0.97
7.5
3.75
0.10
1.10
0.60
0.52 2
3.30
2.10
0.58
4.02
0.65
1.92
1.53
4.
23
0.08
1.48 2
1.65
0.72
10.
Digitalcameras
Subcompact | Compact | 10.11 An important feature of digital cameras is battery life, | ||||||||||||||
300 | 400 | the number of shots that can be taken before the battery needs | ||||||||||||||
310 | 450 | to be recharged. The file contains the battery | ||||||||||||||
290 | life of 29 subcompact cameras and | 16 | ||||||||||||||
280 | 260 | (Data extracted from “Digital Cameras,” Consumer Reports, | ||||||||||||||
250 | 350 | July | 200 | |||||||||||||
24 | ||||||||||||||||
330 | a. Assuming that the population variances from both types | |||||||||||||||
240 | 22 | of digital cameras are equal, is there evidence of a difference | ||||||||||||||
230 | in the mean battery life between the two types of | |||||||||||||||
digital cameras (a = 0.05)? | ||||||||||||||||
b. Determine the p-value in (a) and interpret its meaning. | ||||||||||||||||
220 | ||||||||||||||||
500 | ||||||||||||||||
21 | ||||||||||||||||
150 | ||||||||||||||||
13 | ||||||||||||||||
210 | ||||||||||||||||
205 | ||||||||||||||||
160 | ||||||||||||||||
14 | ||||||||||||||||
17 |
10.21Measurement
Sample | In-Line | Analytical lab | 10.21 In industrial settings, alternative methods often exist | |
8.01 | for measuring variables of interest. The data in | |||
7.56 | 7.29 | (coded to maintain confidentiality) represent | ||
7.4 | 7.54 | measurements in-line that were collected from an analyzer | ||
7.42 | during the production process and from an analytical lab. | |||
7.8 | (Data extracted from M. Leitnaker, “Comparing Measurement | |||
7.6 | Processes: In-line Versus Analytical Measurements,” | |||
6.86 | 6.93 | Quality Engineering, 13, 2000–2001, pp. 293–298.) | ||
7.31 | 7.46 | a. At the 0.05 level of significance, is there evidence of a | ||
7.45 | difference in the mean measurements in-line and from an | |||
7.23 | analytical lab? | |||
7.37 | b. What assumption is necessary about the population | |||
12 | 7.49 | 7.41 | distribution in order to perform this test? | |
6.21 | 6.25 | |||
6.68 | 6.54 | |||
5.12 | 5.2 | |||
4.84 | 4.7 | |||
4.82 | ||||
18 | 5.21 | 5.3 | ||
19 | 5.35 | |||
5.6 | ||||
5.32 | 5.39 | |||
5.16 | 5.17 | |||
5.66 | 5.5 | |||
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 | |
Outside | 126.97 | 103.58 | |
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
10.49 Do young children use cell phones? Apparently so, | |
according to a recent study (A. Ross, “Message to Santa; | |
Kids Want a Phone,” Palm Beach Post, December 16, 2008, | |
pp. 1A, 4A), which stated that cell phone users under | |
12 years of age averaged 137 calls per month as compared | |
to 231 calls per month for cell phone users 13 to 17 years of | |
age. No sample sizes were reported. Suppose that the results | |
were based on samples of 50 cell phone users in each group | |
and that the sample standard deviation for cell phone users | |
under 12 years of age was 51.7 calls per month and the sample | |
standard deviation for cell phone users 13 to 17 years of | |
age was 67.6 calls per month. | |
a. Using a 0.05 level of significance, is there evidence of a | |
difference in the variances of cell phone usage between | |
cell phone users under 12 years of age and cell phone | |
users 13 to 17 years of age? | |
130 | b. On the basis of the results in (a), which t test defined in |
Section 10.1 should you use to compare the means of the | |
two groups of cell phone users? Discuss. | 140 | 170 |