Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Textbook Question
Chapter 16, Problem 43SE
The following numbers are observations on tensile strength of synthetic fabric specimens selected from a production process at equally spaced time intervals. Construct appropriate control charts, and comment (assume an assignable cause is identifiable for any out-of- control observations).
1 | 51.3 | 51.7 | 49.5 |
2 | 51 | 50 | 49.3 |
3 | 50.8 | 51.1 | 49 |
4 | 50.6 | 51.1 | 49 |
5 | 49.6 | 50.5 | 50.9 |
6 | 51.3 | 52 | 50.3 |
7 | 49.7 | 50.5 | 50.3 |
8 | 51.8 | 50.3 | 50 |
9 | 48.6 | 50.5 | 50.7 |
10 | 49.6 | 49.8 | 50.5 |
11 | 49.9 | 50.7 | 49.8 |
12 | 49.6 | 48.4 | 50 |
13 | 49.8 | 51.2 | 49.7 |
14 | 50.4 | 49.9 | 50.7 |
15 | 49.4 | 49.5 | 49 |
16 | 50.7 | 49 | 50 |
17 | 50.8 | 49.5 | 50.9 |
18 | 48.5 | 50.3 | 49.3 |
19 | 49.6 | 50.6 | 49.4 |
20 | 50.9 | 49.4 | 49.7 |
21 | 54.1 | 49.8 | 48.5 |
22 | 50.2 | 49.6 | 51.5 |
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Consider the following measurements of blood hemoglobin concentrations (in g/dL) from three human populations at different geographic locations:
population1 = [ 14.7 , 15.22, 15.28, 16.58, 15.10 ]
population2 = [ 15.66, 15.91, 14.41, 14.73, 15.09]
population3 = [ 17.12, 16.42, 16.43, 17.33]
Perform ANOVA to check if any of these populations have different mean hemoglobin concentrations. (Assume that all the ANOVA requirements such as normality, equal variances and random samples are met.) After you perform ANOVA perform a Tukey-Kramer post-hoc test at a significance level of 0.05 to see which populations actually have different means. As usual, round all answers to two digits after the decimal point. (Make sure you round off to at least three digits any intermediate results in order to obtain the required precision of the final answers.) For any questions, which ask about differences in means or test statistics, which depend on differences in means provide absolute values. In…
Chapter 16 Solutions
Probability and Statistics for Engineering and the Sciences
Ch. 16.1 - A control chart for thickness of rolled-steel...Ch. 16.1 - Refer to Exercise 1 and suppose the ten most...Ch. 16.1 - Suppose a control chart is constructed so that the...Ch. 16.1 - A cork intended for use in a wine bottle is...Ch. 16.1 - If a process variable is normally distributed, in...Ch. 16.2 - In the case of known and , what control limits...Ch. 16.2 - Consider a 3-sigma control chart with a center...Ch. 16.2 - The table below gives data on moisture content for...Ch. 16.2 - Refer to the data given in Exercise 8, and...Ch. 16.2 - When installing a bath faucet, it is important to...
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