
Statistics: Informed Decisions Using Data (5th Edition)
5th Edition
ISBN: 9780134133539
Author: Michael Sullivan III
Publisher: PEARSON
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Question
Chapter 4.2, Problem 19AYU
(a)
To determine
The least squares regression line.
(b)
To determine
To interpret: The slope.
To determine
To interpret: The
(c)
To determine
To predict: The head circumference for the child who is 25inches tall.
(d)
To determine
The residual value for a child who is 25 inches tall.
(e)
To determine
To draw: The least squares regression line and label the residual.
(f)
To determine
To identify: The reason for different head circumferences.
(g)
To determine
To explain: Whether the model can be used for the provided scenario.
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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 4 Solutions
Statistics: Informed Decisions Using Data (5th Edition)
Ch. 4.1 - 1. What is the difference between univariate data...Ch. 4.1 - Prob. 2AYUCh. 4.1 - Prob. 3AYUCh. 4.1 - 4. What does it mean to say two variables are...Ch. 4.1 - Prob. 5AYUCh. 4.1 - 6. True or False: If the linear correlation...Ch. 4.1 - 7. A ______ variable is a variable that is related...Ch. 4.1 - Prob. 8AYUCh. 4.1 - Prob. 9AYUCh. 4.1 - Prob. 10AYU
Ch. 4.1 - Prob. 11AYUCh. 4.1 - Prob. 12AYUCh. 4.1 - 13. Match the linear correlation coefficient to...Ch. 4.1 - 14. Match the linear correlation coefficient to...Ch. 4.1 - Prob. 15AYUCh. 4.1 - 16. Relation between Education and Birthrate? The...Ch. 4.1 - Prob. 17AYUCh. 4.1 - Prob. 18AYUCh. 4.1 - Prob. 19AYUCh. 4.1 - Prob. 20AYUCh. 4.1 - 21. Name the Relation, Part I For each of the...Ch. 4.1 - 22. Name the Relation, Part II For each of the...Ch. 4.1 - Prob. 23AYUCh. 4.1 - Prob. 24AYUCh. 4.1 - Prob. 25AYUCh. 4.1 - Prob. 26AYUCh. 4.1 - Prob. 27AYUCh. 4.1 - 28. American Black Bears The American black bear...Ch. 4.1 - Prob. 29AYUCh. 4.1 - Prob. 30AYUCh. 4.1 - Prob. 31AYUCh. 4.1 - Prob. 32AYUCh. 4.1 - Prob. 33AYUCh. 4.1 - Prob. 34AYUCh. 4.1 - Prob. 35AYUCh. 4.1 - 36. American Black Bears The website that...Ch. 4.1 - Prob. 37AYUCh. 4.1 - 38. Predicting Winning Percentage The ultimate...Ch. 4.1 - Prob. 39AYUCh. 4.1 - 40. Lyme Disease versus Drownings Lyme disease is...Ch. 4.1 - Prob. 41AYUCh. 4.1 - 42. Obesity In a study published in the Journal of...Ch. 4.1 - Prob. 43AYUCh. 4.1 - Prob. 44AYUCh. 4.1 - Prob. 45AYUCh. 4.1 - Prob. 46AYUCh. 4.1 - Prob. 47AYUCh. 4.1 - Prob. 48AYUCh. 4.1 - Prob. 49AYUCh. 4.1 - Prob. 50AYUCh. 4.1 - Prob. 51AYUCh. 4.1 - 52. Write a paragraph that explains the concept of...Ch. 4.1 - Prob. 53AYUCh. 4.1 - Prob. 54AYUCh. 4.1 - Prob. 55AYUCh. 4.1 - Prob. 56AYUCh. 4.2 - 1. The difference between the observed and...Ch. 4.2 - 2. If the linear correlation between two variables...Ch. 4.2 - 3. True or False: The least-squares regression...Ch. 4.2 - 4. If the linear correlation coefficient is 0,...Ch. 4.2 - Prob. 5AYUCh. 4.2 - 6. For the data...Ch. 4.2 -
In Problems 7–12:
(a) By hand, draw a scatter...Ch. 4.2 - Prob. 8AYUCh. 4.2 - In Problems 7–12:
(a) By hand, draw a scatter...Ch. 4.2 - Prob. 10AYUCh. 4.2 - In Problems 7–12:
(a) By hand, draw a scatter...Ch. 4.2 - In Problems 7–12:
(a) By hand, draw a scatter...Ch. 4.2 - Prob. 13AYUCh. 4.2 - Prob. 14AYUCh. 4.2 - 15. Age Gap at Marriage Is there a relation...Ch. 4.2 - 16. You Explain It! CO2 and Energy Production The...Ch. 4.2 - Prob. 17AYUCh. 4.2 - Problems 17–22 use the results from Problems 25–30...Ch. 4.2 - Prob. 19AYUCh. 4.2 - Problems 17–22 use the results from Problems 25–30...Ch. 4.2 - Prob. 21AYUCh. 4.2 - Prob. 22AYUCh. 4.2 - Prob. 23AYUCh. 4.2 - 24. Attending Class The following data represent...Ch. 4.2 - Prob. 25AYUCh. 4.2 - Prob. 26AYUCh. 4.2 - Prob. 27AYUCh. 4.2 - 28. Graduation Rates Go to...Ch. 4.2 - Prob. 29AYUCh. 4.2 - 30. Putting It Together: Smoking and Birth Weight...Ch. 4.2 - Prob. 31AYUCh. 4.2 - 32. Explain the phrase outside the scope of the...Ch. 4.2 - Prob. 33AYUCh. 4.2 - Prob. 34AYUCh. 4.2 - Prob. 35AYUCh. 4.3 - 1. The ___ ___ ___, R2, measures the proportion of...Ch. 4.3 - Prob. 2AYUCh. 4.3 - 3. A _____ _____ is a scatter diagram with the...Ch. 4.3 - 4. What is an influential observation?
Ch. 4.3 - Prob. 5AYUCh. 4.3 - In Problems 5–8, analyze the residual plots and...Ch. 4.3 - Prob. 7AYUCh. 4.3 - Prob. 8AYUCh. 4.3 - Prob. 9AYUCh. 4.3 - Prob. 10AYUCh. 4.3 - Prob. 11AYUCh. 4.3 - Prob. 12AYUCh. 4.3 - Prob. 13AYUCh. 4.3 - Prob. 14AYUCh. 4.3 - Prob. 15AYUCh. 4.3 - Prob. 16AYUCh. 4.3 - Prob. 17AYUCh. 4.3 - Prob. 18AYUCh. 4.3 - Prob. 19AYUCh. 4.3 - Prob. 20AYUCh. 4.3 - Prob. 21AYUCh. 4.3 - Problems 19–24 use the results from Problems 25–30...Ch. 4.3 - Prob. 23AYUCh. 4.3 - Prob. 24AYUCh. 4.3 - Prob. 25AYUCh. 4.3 - Prob. 26AYUCh. 4.3 - Prob. 27AYUCh. 4.3 - Prob. 28AYUCh. 4.3 - Prob. 29AYUCh. 4.3 - Prob. 30AYUCh. 4.3 - 31. Putting It Together: A Tornado Model Is the...Ch. 4.3 - Prob. 32AYUCh. 4.3 - Prob. 33AYUCh. 4.4 - 1. What is meant by a marginal distribution? What...Ch. 4.4 - Prob. 2AYUCh. 4.4 - Prob. 3AYUCh. 4.4 - Prob. 4AYUCh. 4.4 - In Problems 5 and 6,
(a) Construct a frequency...Ch. 4.4 - Prob. 6AYUCh. 4.4 - 7. Made in America In a recent Harris Poll, a...Ch. 4.4 - Prob. 8AYUCh. 4.4 - 9. Party Affiliation Is there an association...Ch. 4.4 - 10. Feelings on Abortion The Pew Research Center...Ch. 4.4 - 11. Health and Happiness The General Social Survey...Ch. 4.4 - Prob. 12AYUCh. 4.4 - 13. Smoking Is Healthy? Could it be that smoking...Ch. 4.4 - Prob. 14AYUCh. 4.4 - Prob. 15AYUCh. 4 - Prob. 1RECh. 4 - 2. Fat and Calories in Cheeseburgers A...Ch. 4 - Prob. 3RECh. 4 - 4. Using the data and results from Problem 2, do...Ch. 4 - Prob. 5RECh. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - Prob. 9RECh. 4 - 10. Use the results from Problems 2 and 4 for the...Ch. 4 - Prob. 11RECh. 4 - Prob. 12RECh. 4 - 13. Depreciation The following data represent the...Ch. 4 - Prob. 14RECh. 4 - Prob. 15RECh. 4 - Prob. 16RECh. 4 - Prob. 17RECh. 4 - Prob. 18RECh. 4 - Prob. 19RECh. 4 - Prob. 1CTCh. 4 - Prob. 2CTCh. 4 - Prob. 3CTCh. 4 - Prob. 4CTCh. 4 - Prob. 5CTCh. 4 - Prob. 6CTCh. 4 - Prob. 7CTCh. 4 - Prob. 8CTCh. 4 - Prob. 9CTCh. 4 - Prob. 10CTCh. 4 - Prob. 11CTCh. 4 - Prob. 1CSCh. 4 - Prob. 2CSCh. 4 - Prob. 3CSCh. 4 - 4. Determine the number of acres of farmland A in...Ch. 4 - Prob. 5CSCh. 4 - Prob. 6CS
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