Statistics for Business & Economics, Revised (with XLSTAT Education Edition Printed Access Card)
13th Edition
ISBN: 9781337094160
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: Cengage Learning
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Textbook Question
Chapter 13.5, Problem 30E
A mail-order catalog firm designed a factorial experiment to test the effect of the size of a magazine advertisement and the advertisement design on the number of catalog requests received (data in thousands). Three advertising designs and two different-size advertisements were considered. The data obtained follow. Use the ANOVA procedure for factorial designs to test for any significant effects due to type of design, size of advertisement. or interaction. Use α = .05.
| Size of Advertisement | |||
| Small | Large | ||
| A | 8 | 12 | |
| 12 | 8 | ||
| Design | B | 22 | 26 |
| 14 | 30 | ||
| C | 10 | 18 | |
| 18 | 14 | ||
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Microsoft Excel include formulas
Question 1
The data shown in Table 1 are and R values for 24 samples of size n = 5 taken from a process producing
bearings. The measurements are made on the inside diameter of the bearing, with only the last three decimals
recorded (i.e., 34.5 should be 0.50345).
Table 1: Bearing Diameter Data
Sample Number
I
R
Sample Number
I R
1
34.5
3
13
35.4
8
2
34.2
4
14
34.0
6
3
31.6
4
15
37.1
5
4
31.5
4
16
34.9
7
5
35.0
5
17
33.5
4
6
34.1
6
18
31.7
3
7
32.6
4
19
34.0
8
8
33.8
3
20
35.1
9
34.8
7
21
33.7
2
10
33.6
8
22
32.8
1
11
31.9
3
23
33.5
3
12
38.6 9
24
34.2
2
(a) Set up and R charts on this process. Does the process seem to be in statistical control? If necessary,
revise the trial control limits. [15 pts]
(b) If specifications on this diameter are 0.5030±0.0010, find the percentage of nonconforming bearings pro-
duced by this process. Assume that diameter is normally distributed. [10 pts]
1
4. (5 pts) Conduct a chi-square contingency test (test of independence) to assess whether
there is an association between the behavior of the elderly person (did not stop to talk,
did stop to talk) and their likelihood of falling. Below, please state your null and
alternative hypotheses, calculate your expected values and write them in the table,
compute the test statistic, test the null by comparing your test statistic to the critical
value in Table A (p. 713-714) of your textbook and/or estimating the P-value, and
provide your conclusions in written form. Make sure to show your work.
Did not stop walking to talk
Stopped walking to talk
Suffered a fall
12
11
Totals
23
Did not suffer a fall | 2
Totals
35
37
14
46
60
T
Chapter 13 Solutions
Statistics for Business & Economics, Revised (with XLSTAT Education Edition Printed Access Card)
Ch. 13.2 - The following data are from a completely...Ch. 13.2 - In a completely randomized design, seven...Ch. 13.2 - Refer to exercise 2. a. what hypotheses are...Ch. 13.2 - In an experiment designed to test the output...Ch. 13.2 - In a completely randomized design, 12 experimental...Ch. 13.2 - Develop the analysis of variance computations for...Ch. 13.2 - Three different methods for assembling a product...Ch. 13.2 - Refer to the NCP data in Table 13.4. Set up the...Ch. 13.2 - To study the effect of temperature on yield in a...Ch. 13.2 - Auditors must make judgments about various aspects...
Ch. 13.2 - Four different paints are advertised as having the...Ch. 13.2 - The Consumer Reports Restaurant Customer...Ch. 13.3 - The following data arc from a completely...Ch. 13.3 - The following data are from a completely...Ch. 13.3 - To test whether the mean time needed to mix a...Ch. 13.3 - Refer to exercise 15. Use Fishers LSD procedure to...Ch. 13.3 - The following data are from an experiment designed...Ch. 13.3 - To lest for any significant difference in the...Ch. 13.3 - Refer to exercise 18. Use the Bonferroni...Ch. 13.3 - The International League of Triple-A minor league...Ch. 13.4 - Consider the experimental results for the...Ch. 13.4 - The following data were obtained for a randomized...Ch. 13.4 - An experiment has been conducted for four...Ch. 13.4 - An automobile dealer conducted a test to determine...Ch. 13.4 - The price drivers pay for gasoline often varies a...Ch. 13.4 - The Scholastic Aptitude Test (SAT) contains three...Ch. 13.4 - A study reported in the Journal of the American...Ch. 13.5 - A factorial experiment involving two levels of...Ch. 13.5 - The calculations for a factorial experiment...Ch. 13.5 - A mail-order catalog firm designed a factorial...Ch. 13.5 - An amusement park studied methods for decreasing...Ch. 13.5 - As part of a study designed to compare hybrid and...Ch. 13.5 - A study reported in The Accounting Review examined...Ch. 13 - In a completely randomized experimental design,...Ch. 13 - A study reported in the Journal of Small Business...Ch. 13 - The U.S. Environmental Protection Agency (EPA)...Ch. 13 - The following data show the percentage of 17- to...Ch. 13 - Prob. 38SECh. 13 - In a study conducted to investigate browsing...Ch. 13 - A research firm tests the miles-per-gallon...Ch. 13 - The compact car market in the United States is...Ch. 13 - Prob. 42SECh. 13 - A factorial experiment was designed to test for...Ch. 13 - A manufacturing company designed a factorial...Ch. 13 - Wentworth Medical Center As part of a long-term...Ch. 13 - Compensation for Sales Professionals Suppose that...
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