Essentials of Statistics for Business and Economics (with XLSTAT Printed Access Card)
8th Edition
ISBN: 9781337114172
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 9.1, Problem 4E
Because of high production-changeover time and costs, a director of manufacturing must convince management that a proposed manufacturing method reduces costs before the new method can be implemented. The current production method operates with a mean cost of $220 per hour. A research study will measure the cost of the new method over a sample production period.
- a. Develop the null and alternative hypotheses most appropriate for this study.
- b. Comment on the conclusion when H0 cannot be rejected.
- c. Comment on the conclusion when H0 can be rejected.
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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 9 Solutions
Essentials of Statistics for Business and Economics (with XLSTAT Printed Access Card)
Ch. 9.1 - 1. The manager of the Danvers-Hilton Resort Hotel...Ch. 9.1 - 2. The manager of an automobile dealership is...Ch. 9.1 - A production line operation is designed to fill...Ch. 9.1 - Because of high production-changeover time and...Ch. 9.2 - Prob. 5ECh. 9.2 - 6. The label on a 3-quart container of orange...Ch. 9.2 - Carpet Salesperson Salaries. Carpetland...Ch. 9.2 - 8. Suppose a new production method will be...Ch. 9.3 - Consider the following hypothesis test: H0:20Ha:20...Ch. 9.3 - Consider the following hypothesis test:
A sample...
Ch. 9.3 - Consider the following hypothesis test:
A sample...Ch. 9.3 - Consider the following hypothesis test:
A sample...Ch. 9.3 - Consider the following hypothesis test: H0:50Ha:50...Ch. 9.3 - Prob. 14ECh. 9.3 - Prob. 15ECh. 9.3 - Credit Card Use by Undergraduates. In a study...Ch. 9.3 - 17. The mean hourly wage for employees in...Ch. 9.3 - Prob. 18ECh. 9.3 - Prob. 19ECh. 9.3 - Prescription Drug Costs. Annual expenditure for...Ch. 9.3 - Cost of Telephone Surveys. Fowle Marketing...Ch. 9.3 - Time in Supermarket Checkout Lines. CCN and...Ch. 9.4 - Consider the following hypothesis test: H0:12Ha:12...Ch. 9.4 - Consider the following hypothesis test:
A sample...Ch. 9.4 - Consider the following hypothesis test: H0:45Ha:45...Ch. 9.4 - Consider the following hypothesis test:
A sample...Ch. 9.4 - Prob. 27ECh. 9.4 - CEO Tenure. A shareholders’ group, in lodging a...Ch. 9.4 - Prob. 29ECh. 9.4 - Prob. 30ECh. 9.4 - Prob. 31ECh. 9.4 - Prob. 32ECh. 9.4 - 33. The mean annual premium for automobile...Ch. 9.4 - Prob. 34ECh. 9.5 - Consider the following hypothesis test:...Ch. 9.5 - Consider the following hypothesis test:
A sample...Ch. 9.5 - Prob. 37ECh. 9.5 - Attitudes toward Supermarket Brands. A study by...Ch. 9.5 - Prob. 39ECh. 9.5 - Holiday Gifts from Employers. Last year, 46% of...Ch. 9.5 - 41. Ten years ago 53% of American families owned...Ch. 9.5 - Returned Merchandise. According to the University...Ch. 9.5 - Coupon Usage. Eagle Outfitters is a chain of...Ch. 9.5 - Malpractice Suits. One of the reasons health care...Ch. 9.5 - Prob. 45ECh. 9.7 - Consider the following hypothesis test. H0:10Ha:10...Ch. 9.7 - Consider the following hypothesis test.
A sample...Ch. 9.7 - Prob. 48ECh. 9.7 - Miles per Gallon. A consumer research group is...Ch. 9.7 - Age of Magazine Subscribers. Young Adult magazine...Ch. 9.7 - Length of Telephone Surveys. Refer to exercise 48....Ch. 9.7 - Employee Participation in Investment Plans. Sparr...Ch. 9.8 - Consider the following hypothesis test. H0:10Ha:10...Ch. 9.8 - Consider the following hypothesis test....Ch. 9.8 - Underfilling Packages of Coffee. Suppose the...Ch. 9.8 - Battery Life. A special industrial battery must...Ch. 9.8 - Mean Age of Magazine Subscribers. Young Adult...Ch. 9.8 - Automobile Mileage. An automobile mileage study...Ch. 9 - Production Line Fill Weights. A production line...Ch. 9 - Scholarship Examination Scores. At Western...Ch. 9 - Prob. 62SECh. 9 - Prob. 63SECh. 9 - Prob. 64SECh. 9 - Prob. 65SECh. 9 - Residential Property Values. The chamber of...Ch. 9 - Prob. 67SECh. 9 - Prob. 68SECh. 9 - Using Laptops on Flights. An airline promotion to...Ch. 9 - Millennial Dependency on Parents. Members of the...Ch. 9 - Prob. 71SECh. 9 - Hotel Availability Over Holiday Weekend. A radio...Ch. 9 - Prob. 73SECh. 9 - Construction Worker Idle Time. Shorney...Ch. 9 - Federal Funding for Neighborhood Projects. A...Ch. 9 - Soap Production Process. H0: m = 120 and Ha: μ ≠...Ch. 9 - Quality Associates, Inc. Quality Associates, Inc.,...Ch. 9 - Case problem 2 Ethical Behavior of Business...
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