PROBABILITY AND STATISTICS FOR ENGINEER
9th Edition
ISBN: 2818000048605
Author: WALPOLE
Publisher: PEARSON
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Chapter 5.3, Problem 42E
To determine
Calculate the
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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 5 Solutions
PROBABILITY AND STATISTICS FOR ENGINEER
Ch. 5.2 - Prob. 1ECh. 5.2 - Twelve people are given two identical speakers,...Ch. 5.2 - An employee is selected from a staff of 10 to...Ch. 5.2 - In a certain city district, the need for money to...Ch. 5.2 - According to Chemical Engineering Progress...Ch. 5.2 - Prob. 6ECh. 5.2 - Prob. 7ECh. 5.2 - Prob. 8ECh. 5.2 - Prob. 9ECh. 5.2 - Prob. 10E
Ch. 5.2 - The probability that a patient recovers from a...Ch. 5.2 - A traffic control engineer reports that 75% of the...Ch. 5.2 - A national study that examined attitudes about...Ch. 5.2 - The percentage of wins for the Chicago Bulls...Ch. 5.2 - Prob. 15ECh. 5.2 - Prob. 16ECh. 5.2 - If X represents the number of people in Exercise...Ch. 5.2 - Prob. 18ECh. 5.2 - According to USA Today (March 18, 1997), of 4...Ch. 5.2 - Prob. 21ECh. 5.2 - Prob. 22ECh. 5.2 - Prob. 23ECh. 5.2 - Prob. 24ECh. 5.2 - Prob. 25ECh. 5.2 - Assuming that 6 in 10 automobile accidents are due...Ch. 5.2 - Prob. 27ECh. 5.2 - Prob. 28ECh. 5.3 - A homeowner plants 6 bulbs selected at random from...Ch. 5.3 - To avoid detection at customs, a traveler places 6...Ch. 5.3 - A random committee of size 3 is selected from 4...Ch. 5.3 - From a lot of 10 missiles, 4 are selected at...Ch. 5.3 - If 7 cards are dealt from an ordinary deck of 52...Ch. 5.3 - Prob. 34ECh. 5.3 - A company is interested in evaluating its current...Ch. 5.3 - A manufacturing company uses an acceptance scheme...Ch. 5.3 - Prob. 37ECh. 5.3 - Prob. 38ECh. 5.3 - Prob. 39ECh. 5.3 - Prob. 40ECh. 5.3 - Prob. 41ECh. 5.3 - Prob. 42ECh. 5.3 - Prob. 43ECh. 5.3 - Prob. 44ECh. 5.3 - Prob. 45ECh. 5.3 - Prob. 46ECh. 5.3 - Prob. 47ECh. 5.3 - Prob. 48ECh. 5.5 - Prob. 49ECh. 5.5 - Prob. 50ECh. 5.5 - Prob. 51ECh. 5.5 - Prob. 52ECh. 5.5 - Prob. 53ECh. 5.5 - Prob. 54ECh. 5.5 - Prob. 55ECh. 5.5 - Prob. 56ECh. 5.5 - Prob. 57ECh. 5.5 - Prob. 58ECh. 5.5 - Prob. 59ECh. 5.5 - Prob. 60ECh. 5.5 - Prob. 61ECh. 5.5 - Prob. 62ECh. 5.5 - Prob. 63ECh. 5.5 - Prob. 64ECh. 5.5 - Prob. 65ECh. 5.5 - Prob. 66ECh. 5.5 - Prob. 67ECh. 5.5 - Prob. 68ECh. 5.5 - Prob. 69ECh. 5.5 - Prob. 70ECh. 5.5 - Prob. 71ECh. 5.5 - Prob. 72ECh. 5.5 - Prob. 73ECh. 5.5 - Prob. 74ECh. 5.5 - Prob. 75ECh. 5.5 - Prob. 76ECh. 5.5 - Prob. 77RECh. 5.5 - Prob. 78RECh. 5.5 - Prob. 79RECh. 5.5 - Prob. 80RECh. 5.5 - Prob. 81RECh. 5.5 - Prob. 82RECh. 5.5 - Prob. 83RECh. 5.5 - Prob. 84RECh. 5.5 - Prob. 85RECh. 5.5 - Prob. 86RECh. 5.5 - Prob. 87RECh. 5.5 - Prob. 88RECh. 5.5 - Prob. 89RECh. 5.5 - Prob. 90RECh. 5.5 - Prob. 91RECh. 5.5 - Prob. 92RECh. 5.5 - Prob. 93RECh. 5.5 - Prob. 94RECh. 5.5 - Prob. 95RECh. 5.5 - Prob. 96RECh. 5.5 - Prob. 97RECh. 5.5 - Prob. 98RECh. 5.5 - Prob. 99RECh. 5.5 - Prob. 100RECh. 5.5 - Prob. 101RE
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