Introductory Statistics (10th Edition)
10th Edition
ISBN: 9780321989178
Author: Neil A. Weiss
Publisher: PEARSON
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Chapter 16.3, Problem 55E
(a)
To determine
Conduct one-way ANOVA.
(b)
To determine
Interpret the results.
(c)
To determine
Decide whether the presuming that the assumptions of normal populations and equal standard deviations are met is reasonable or not.
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Table 5: Measurement Data for Question 9
Part Number
Op-1, M-1
Op-1, M-2 | Op-2, M-1 Op-2, M-2 | Op-3, M-1
Op-3, M-2
1
21
20
20
20
19
21
2
24
23
24
24
23
24
3
4
5
6
7
8
9
10
11
21
12
8222332
201
21
20
22
20
22
27
27
28
26
27
28
19
18
19
21
24
21
22
19
17
18
24
23
25
25
23
26
20
20
18
19
17
13
23
25
25
2 3 3 3 3 2 3
18
18
21
21
23
22
24
22
20
19
23
24
25
24
20
21
19
18
25
25
14
24
24
23
25
24
15
29
30
30
28
31
16
26
26
25
26
25
17
20
20
19
20
20
843882388
20
18
25
20
19
25
25
30
27
20
18
19
21
19
19
21
23
19
25
26
25
24
25
25
20
19
19
18
17
19
17
Question 9
A measurement systems experiment involving 20 parts, three operators (Op-1, Op-2, Op-3), and two measure-
ments (M-1, M-2) per part is shown in Table 5.
(a) Estimate the repeatability and reproducibility of the gauge.
(b) What is the estimate of total gauge variability?"
(c) If the product specifications are at LSL = 6 and USL 60, what can you say about gauge capability?
Question 5
A fraction nonconforming control chart with center line 0.10, UCL = 0.19, and LCL = 0.01 is used to control a
process.
(a) If three-sigma limits are used, find the sample size for the control charte
2
(b) Use the Poisson approximation to the binomial to find the probability of type I error.
(c) Use the Poisson approximation to the binomial to find the probability of type II error if the process fraction
defective is actually p = 0.20.
Question 8
Ten parts are measured three times by the same operator in a gauge capability study. The data are shown in
Table 4.
(a) Describe the measurement error that results from the use of this gauge. I
(b) Estimate total variability and product variability.
(c) What percentage of total variability is due to the gauge?
(d) If specifications on the part are at 100±15, find the P/T ratio for this gauge. Comment on the adequacy
of the gauge.
3
Table 4: Measurement Data for Question 8
Part Number Measurement 1 Measurement 2 Measurement 3
1
2
100
95
101
100
93
97
3
101
103
100
4
96
95
97
5
98
98
96
6
99
98
98
7889
95
97
98
100
99
98
100
100
97
10
100
98
98
99
Chapter 16 Solutions
Introductory Statistics (10th Edition)
Ch. 16.1 - How do we identify an F-distribution and its...Ch. 16.1 - How many degrees of freedom does an F-curve have?...Ch. 16.1 - What symbol is used to denote the F-value having...Ch. 16.1 - Using the F-notation, identify the F-value having...Ch. 16.1 - An F-curve has df = (12, 7). What is the number of...Ch. 16.1 - An F-curve has df = (8, 19). What is the number of...Ch. 16.1 - In Exercises 16.716.10, use Table VIII in Appendix...Ch. 16.1 - Prob. 8ECh. 16.1 - Prob. 9ECh. 16.1 - Prob. 10E
Ch. 16.2 - One-way ANOVA is a procedure for comparing the...Ch. 16.2 - If we define s=MSE, of which parameter is s an...Ch. 16.2 - Explain the reason for the word variance in the...Ch. 16.2 - For a one-way ANOVA test, suppose that, in...Ch. 16.2 - Regarding one-way ANOVA, fill in the blanks in...Ch. 16.2 - Regarding one-way ANOVA, fill in the blanks in...Ch. 16.2 - Regarding one-way ANOVA, fill in the blanks in...Ch. 16.2 - Explain the logic behind one-way ANOVA.Ch. 16.2 - What does the term one-way signify in the phrase...Ch. 16.2 - Figure 16.6 shows side-by-side boxplots of...Ch. 16.2 - Figure 16.7 shows side-by-side boxplots of...Ch. 16.2 - Discuss two methods for checking the assumptions...Ch. 16.2 - In one-way ANOVA, what is the residual of an...Ch. 16.2 - In Exercises 16.24-16.29, we have provided data...Ch. 16.2 - In Exercises 16.24-16.29. we have provided data...Ch. 16.2 - In Exercises 16.24-16.29, we have provided data...Ch. 16.2 - In Exercises 16.24-16.29, we have provided data...Ch. 16.2 - In Exercises 16.24-16.29, we have provided data...Ch. 16.2 - In Exercises 16.24-16.29, we have provided data...Ch. 16.2 - Show that, for two populations, MSE=sp2, where is...Ch. 16.2 - Suppose that the variable under consideration is...Ch. 16.3 - Suppose that a one-way ANOVA is being performed to...Ch. 16.3 - We stated earlier that a one-way ANOVA test is...Ch. 16.3 - Following are the notations for the three sums of...Ch. 16.3 - State the one-way ANOVA identity, and interpret...Ch. 16.3 - True or false: If you know any two of the three...Ch. 16.3 - In each part, specify what type of analysis you...Ch. 16.3 - Prob. 38ECh. 16.3 - In Exercises 16.38-16.41, fill in the missing...Ch. 16.3 - In Exercises 16.38-16.41 fill in the missing...Ch. 16.3 - Prob. 41ECh. 16.3 - In Exercises 16.42-16.47. wt provide data from...Ch. 16.3 - In Exercises 16.42-16.47, we provide data from...Ch. 16.3 - Prob. 44ECh. 16.3 - Prob. 45ECh. 16.3 - Prob. 46ECh. 16.3 - Prob. 47ECh. 16.3 - Prob. 48ECh. 16.3 - Copepod Cuisine. Copepods are tiny crustaceans...Ch. 16.3 - In Exercises 16.48-16.53, apply Procedure 16.1 on...Ch. 16.3 - Staph Infections. In the article Using EDE, ANOVA...Ch. 16.3 - Prob. 52ECh. 16.3 - Prob. 53ECh. 16.3 - Prob. 54ECh. 16.3 - Prob. 55ECh. 16.3 - In Exercises 16.54-16.59, use the technology of...Ch. 16.3 - Prob. 57ECh. 16.3 - In Exercises 16.54-16.59, use. the technology of...Ch. 16.3 - Prob. 59ECh. 16.3 - Prob. 60ECh. 16.3 - Prob. 61ECh. 16.3 - In Exercises 16.60-16.63, refer to the discussion...Ch. 16.3 - Starting Salaries. The National Association of...Ch. 16.3 - Working with Large Data Sets In Exercises...Ch. 16.3 - Working with Large Data Sets In Exercises...Ch. 16.3 - In Exercises 16.64-16.72, use the technology of...Ch. 16.3 - In Exercises 16.6416.72, use the technology of...Ch. 16.3 - In Exercises 16.64-16.72, use the technology of...Ch. 16.3 - In Exercises 16.64-16.72, use the technology of...Ch. 16.3 - Prob. 70ECh. 16.3 - Prob. 71ECh. 16.3 - Prob. 72ECh. 16.3 - Prob. 73ECh. 16.3 - Prob. 74ECh. 16.3 - Prob. 75ECh. 16.4 - What is the purpose of doing a multiple...Ch. 16.4 - Fill in the blank: If a confidence interval for...Ch. 16.4 - Explain the difference between the family...Ch. 16.4 - Regarding family and individual confidence levels,...Ch. 16.4 - What is the name of the distribution on which the...Ch. 16.4 - The parameter v for the q-curve in a Tukey...Ch. 16.4 - Explain the essential difference between obtaining...Ch. 16.4 - Determine the following for a q-curve with...Ch. 16.4 - Determine the following for a q-curve with...Ch. 16.4 - Find the following for a q-curve with parameters K...Ch. 16.4 - Find the following for a q-curve with parameters K...Ch. 16.4 - Suppose that you conduct a one-way ANOVA test and...Ch. 16.4 - In Exercises 16.88-16.93, we repeal the data from...Ch. 16.4 - In Exercises 16.88-16.93, we repeat the data from...Ch. 16.4 - In Exercises 16.88-16.93, we repeat the data from...Ch. 16.4 - In Exercises 16.88-16.93, we repeat the data from...Ch. 16.4 - In Exercises 16.88-16.93, we repeat the data from...Ch. 16.4 - Prob. 93ECh. 16.4 - Prob. 94ECh. 16.4 - In Exercises 16.94-16.99, use Procedure 16.2 on...Ch. 16.4 - In Exercises 16.94-16.99, use Procedure 16.2 on...Ch. 16.4 - In Exercises 16.94-16.99, use Procedure 16.2 on...Ch. 16.4 - Prob. 98ECh. 16.4 - Prob. 99ECh. 16.4 - Prob. 100ECh. 16.4 - Prob. 101ECh. 16.4 - In Exercises 16.100-16.105, use the technology of...Ch. 16.4 - Prob. 103ECh. 16.4 - Prob. 104ECh. 16.4 - Prob. 105ECh. 16.4 - In Exercises 16.106-16.109, use Procedure 10.2 on...Ch. 16.4 - Prob. 107ECh. 16.4 - Prob. 108ECh. 16.4 - Prob. 109ECh. 16.4 - Prob. 110ECh. 16.4 - In Exercises 16.110-16.118, we repeat information...Ch. 16.4 - Prob. 112ECh. 16.4 - Prob. 113ECh. 16.4 - Prob. 114ECh. 16.4 - In Exercises 16.110-16.118, we repeat information...Ch. 16.4 - Prob. 116ECh. 16.4 - Prob. 117ECh. 16.4 - In Exercises 16.110-16.16.118, we repeat...Ch. 16.4 - Explain why the family confidence level, not the...Ch. 16.4 - Prob. 120ECh. 16.4 - Energy Consumption. Apply Table 16.11 on page 723...Ch. 16.5 - Prob. 122ECh. 16.5 - Prob. 123ECh. 16.5 - Prob. 124ECh. 16.5 - Prob. 125ECh. 16.5 - Prob. 126ECh. 16.5 - The measure of total variation of all the ranks is...Ch. 16.5 - Regarding a Kruskal-Wallis test, fill in the...Ch. 16.5 - Prob. 129ECh. 16.5 - Prob. 130ECh. 16.5 - In each of Exercises 16.130-16.133, suppose that...Ch. 16.5 - Prob. 132ECh. 16.5 - Prob. 133ECh. 16.5 - Prob. 134ECh. 16.5 - Prob. 135ECh. 16.5 - Prob. 136ECh. 16.5 - Prob. 137ECh. 16.5 - Prob. 138ECh. 16.5 - Prob. 139ECh. 16.5 - Prob. 140ECh. 16.5 - Prob. 141ECh. 16.5 - Prob. 142ECh. 16.5 - Prob. 143ECh. 16.5 - Prob. 144ECh. 16.5 - In Exercises 16.144-16.149, perform a...Ch. 16.5 - In Exercises 16.144-16.149, perform a...Ch. 16.5 - In Exercises 16.144-16.149, perform a...Ch. 16.5 - Prob. 148ECh. 16.5 - Prob. 149ECh. 16.5 - Prob. 150ECh. 16.5 - Prob. 151ECh. 16.5 - Prob. 152ECh. 16.5 - Prob. 153ECh. 16.5 - Prob. 154ECh. 16.5 - Prob. 155ECh. 16.5 - Prob. 156ECh. 16.5 - Prob. 157ECh. 16.5 - Prob. 158ECh. 16.5 - Prob. 159ECh. 16.5 - Prob. 160ECh. 16.5 - Prob. 161ECh. 16.5 - Prob. 162ECh. 16.5 - Prob. 163ECh. 16.5 - Prob. 164ECh. 16.5 - Prob. 165ECh. 16.5 - Prob. 166ECh. 16.5 - Prob. 167ECh. 16 - For what is one-way ANOVA used?Ch. 16 - State the four assumptions for one-way ANOVA, and...Ch. 16 - On what distribution does one-way ANOVA rely?Ch. 16 - Suppose that you want to compare the means of...Ch. 16 - Prob. 5RPCh. 16 - In one-way ANOVA, a. list and interpret the three...Ch. 16 - Prob. 7RPCh. 16 - Prob. 8RPCh. 16 - Prob. 9RPCh. 16 - Prob. 10RPCh. 16 - Prob. 11RPCh. 16 - Suppose that you want to compare the means of...Ch. 16 - Prob. 13RPCh. 16 - Prob. 14RPCh. 16 - Prob. 15RPCh. 16 - Prob. 16RPCh. 16 - In Problems 17-21, consider an F-curve with df =...Ch. 16 - Prob. 18RPCh. 16 - Prob. 19RPCh. 16 - Prob. 20RPCh. 16 - Prob. 21RPCh. 16 - Consider a q -curve with parameters 3 and 14. a....Ch. 16 - Consider the following hypothetical samples. A B C...Ch. 16 - Losses to Robbery. The Federal Bureau of...Ch. 16 - Prob. 25RPCh. 16 - Prob. 26RPCh. 16 - Prob. 27RPCh. 16 - Losses to Robbery. Refer to Problem 24. a. At the...Ch. 16 - Foot-pressure Angle. Genu valgum, commonly known...Ch. 16 - Prob. 30RPCh. 16 - Prob. 31RPCh. 16 - Prob. 32RPCh. 16 - In Problems 3234, use the technology of your...Ch. 16 - Prob. 34RPCh. 16 - Prob. 35RPCh. 16 - In Problems 3537, refer to the specified problem...Ch. 16 - Prob. 37RPCh. 16 - Recall from Chapter 1 (see page 34) that the Focus...Ch. 16 - SELF-PERCEPTION AND PHYSICAL ACTIVITY As you...
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