An Introduction to Mathematical Statistics and Its Applications (6th Edition)
6th Edition
ISBN: 9780134114217
Author: Richard J. Larsen, Morris L. Marx
Publisher: PEARSON
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Textbook Question
Chapter 8.2, Problem 1Q
For Questions 8.2.1-8.2.12 use the flowchart in Figure 8.2.4 to identify the experimental designs represented. In each case, answer whichever of the questions on p. 427 are necessary to make the determination.
Kepler’s third law states that “the squares of the periods of the planets are proportional to the cubes of their mean distance from the Sun.” Listed below are the periods of revolution
| Planet |
|
|
|
| Mercury | 0.241 | 0.387 | 1.002 |
| Venus | 0.615 | 0.723 | 1.001 |
| Earth | 1.000 | 1.000 | 1.000 |
| Mars | 1.881 | 1.524 | 1.000 |
| Jupiter | 11.86 | 5.203 | 0.999 |
| Saturn | 29.46 | 9.54 | 1.000 |
| Uranus | 84.01 | 19.18 | 1.000 |
| Neptune | 164.8 | 3.06 | 1.000 |
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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 8 Solutions
An Introduction to Mathematical Statistics and Its Applications (6th Edition)
Ch. 8.2 - For Questions 8.2.1-8.2.12 use the flowchart in...Ch. 8.2 - For Questions 8.2.1-8.2.12 use the flowchart in...Ch. 8.2 - Prob. 3QCh. 8.2 - For Questions 8.2.1-8.2.12 use the flowchart in...Ch. 8.2 - For Questions 8.2.1-8.2.12 use the flowchart in...Ch. 8.2 - For Questions 8.2.1-8.2.12 use the flowchart in...Ch. 8.2 - Prob. 7QCh. 8.2 - Prob. 8QCh. 8.2 - Prob. 9QCh. 8.2 - Prob. 10Q
Ch. 8.2 - For Questions 8.2.1-8.2.12 use the flowchart in...Ch. 8.2 - For Questions 8.2.1-8.2.12 use the flowchart in...Ch. 8.2 - For Questions 8.2.13-8.2.32 identify the...Ch. 8.2 - For Questions 8.2.13-8.2.32 identify the...Ch. 8.2 - Prob. 15QCh. 8.2 - For Questions 8.2.13-8.2.32 identify the...Ch. 8.2 - Prob. 17QCh. 8.2 - For Questions 8.2.13-8.2.32 identify the...Ch. 8.2 - Prob. 19QCh. 8.2 - Prob. 20QCh. 8.2 - Prob. 21QCh. 8.2 - Prob. 22QCh. 8.2 - Prob. 23QCh. 8.2 - Prob. 24QCh. 8.2 - Prob. 25QCh. 8.2 - Prob. 26QCh. 8.2 - Prob. 27QCh. 8.2 - Prob. 28QCh. 8.2 - Prob. 29QCh. 8.2 - Prob. 30QCh. 8.2 - Prob. 31QCh. 8.2 - Prob. 32Q
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