EP STATISTICS-ACCESS (18 WEEK)
5th Edition
ISBN: 9780135960592
Author: Sullivan
Publisher: PEARSON CO
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Chapter 3, Problem 3CS
To determine
To compare: The summaries statistics.
To determine
To discuss: The word-length analysis.
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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 3 Solutions
EP STATISTICS-ACCESS (18 WEEK)
Ch. 3.1 - 1. What does it mean if a statistic is resistant?
Ch. 3.1 - 2. In the 2013 Current Population Survey conducted...Ch. 3.1 - Prob. 3AYUCh. 3.1 - 4. A histogram of a set of data indicates that the...Ch. 3.1 - 5. If a data set contains 10,000 values arranged...Ch. 3.1 - 6. True or False: A data set will always have...Ch. 3.1 - In Problems 7–10, find the population mean or...Ch. 3.1 - Prob. 8AYUCh. 3.1 - In Problems 7–10, find the population mean or...Ch. 3.1 - In Problems 7–10, find the population mean or...
Ch. 3.1 - Prob. 11AYUCh. 3.1 - 12. The median for the given set of six ordered...Ch. 3.1 - 13. Miles per Gallon The following data represent...Ch. 3.1 - 14. Exam Time The following data represent the...Ch. 3.1 - 15. Concrete Mix A certain type of concrete mix is...Ch. 3.1 - 16. Flight Time The following data represent the...Ch. 3.1 - 17. For each of the three histograms shown,...Ch. 3.1 - 18. Match the histograms shown to the summary...Ch. 3.1 - Prob. 19AYUCh. 3.1 - 20. pH in Water The acidity or alkalinity of a...Ch. 3.1 - 21. Pulse Rates The following data represent the...Ch. 3.1 - 22. Travel Time The data on the next page...Ch. 3.1 - 23. Connection Time A histogram of the connection...Ch. 3.1 - 24. Journal Costs A histogram of the annual...Ch. 3.1 - 25. M&Ms The following data represent the weights...Ch. 3.1 - Prob. 26AYUCh. 3.1 - Prob. 27AYUCh. 3.1 - Prob. 28AYUCh. 3.1 - Prob. 29AYUCh. 3.1 - Prob. 30AYUCh. 3.1 - Prob. 31AYUCh. 3.1 - Prob. 32AYUCh. 3.1 - Prob. 33AYUCh. 3.1 - Prob. 34AYUCh. 3.1 - Prob. 35AYUCh. 3.1 - 36. Sullivan Survey Go to...Ch. 3.1 - Prob. 37AYUCh. 3.1 - 38. Linear Transformations Use the five test...Ch. 3.1 - Prob. 39AYUCh. 3.1 - Prob. 40AYUCh. 3.1 - Prob. 41AYUCh. 3.1 - Prob. 42AYUCh. 3.1 - Prob. 43AYUCh. 3.1 - 44. A researcher with the Department of Energy...Ch. 3.1 - Prob. 45AYUCh. 3.1 - 46. You are negotiating a contract for the Players...Ch. 3.1 - Prob. 47AYUCh. 3.1 - Prob. 48AYUCh. 3.2 - 1. The sum of the deviations about the mean always...Ch. 3.2 - 2. The standard deviation is used in conjunction...Ch. 3.2 - 3. True or False: When comparing two populations,...Ch. 3.2 - Prob. 4AYUCh. 3.2 - Prob. 5AYUCh. 3.2 - Prob. 6AYUCh. 3.2 - In Problems 5–10, by hand, find the population...Ch. 3.2 - Prob. 8AYUCh. 3.2 - Prob. 9AYUCh. 3.2 - Prob. 10AYUCh. 3.2 - 11. Miles per Gallon The following data represent...Ch. 3.2 - 12. Exam Time The following data represent the...Ch. 3.2 - Prob. 13AYUCh. 3.2 - Prob. 14AYUCh. 3.2 - 15. Which histogram depicts a higher standard...Ch. 3.2 - 16. Match the histograms in the next column to the...Ch. 3.2 - 17. Exam Scores The following data represent exam...Ch. 3.2 - 18. pH in Water The acidity or alkalinity of a...Ch. 3.2 - 19. Pulse Rates The data on the following page...Ch. 3.2 - Prob. 20AYUCh. 3.2 - Prob. 21AYUCh. 3.2 - Prob. 22AYUCh. 3.2 - 23. The Empirical Rule The following data...Ch. 3.2 - 24. The Empirical Rule The following data...Ch. 3.2 - 25. Which Car Would You Buy? Suppose that you are...Ch. 3.2 - Prob. 26AYUCh. 3.2 - 27. Rates of Returns of Stocks Stocks may be...Ch. 3.2 - Prob. 28AYUCh. 3.2 - 29. The Empirical Rule The Stanford–Binet...Ch. 3.2 - 30. The Empirical Rule SAT Math scores have a...Ch. 3.2 - 31. The Empirical Rule The weight, in grams, of...Ch. 3.2 - 32. The Empirical Rule The distribution of the...Ch. 3.2 - Prob. 33AYUCh. 3.2 - Prob. 34AYUCh. 3.2 - NW 35. Chebyshev's Inequality In December 2014,...Ch. 3.2 - 36. Chebyshev's Inequality According to the U.S....Ch. 3.2 - Prob. 37AYUCh. 3.2 - Prob. 38AYUCh. 3.2 - 39. Resistance and Sample Size Each of the...Ch. 3.2 - Prob. 40AYUCh. 3.2 - Prob. 41AYUCh. 3.2 - Prob. 42AYUCh. 3.2 - Prob. 43AYUCh. 3.2 - 44. Coefficient of Skewness Karl Pearson developed...Ch. 3.2 - Prob. 45AYUCh. 3.2 - 46. More Spread? The data set on the left...Ch. 3.2 - Prob. 47AYUCh. 3.2 - Prob. 48AYUCh. 3.2 - Prob. 49AYUCh. 3.2 - 50. What is meant by the phrase degrees of freedom...Ch. 3.2 - Prob. 51AYUCh. 3.2 - Prob. 52AYUCh. 3.2 - Prob. 53AYUCh. 3.2 - Prob. 54AYUCh. 3.2 - Prob. 55AYUCh. 3.2 - Prob. 56AYUCh. 3.2 - Prob. 57AYUCh. 3.2 - 58. Draw two histograms with different standard...Ch. 3.2 - 59. Fast Pass In 2000, the Walt Disney Company...Ch. 3.3 - 1. Savings Recently, a random sample of 25–34 year...Ch. 3.3 - 2. Square Footage of Housing The frequency...Ch. 3.3 -
3. Household Winter Temperature Often, frequency...Ch. 3.3 - 4. Living in Poverty (See Problem 3.) The...Ch. 3.3 - 5. Multiple Births The following data represent...Ch. 3.3 - 6. Birth Weight The following frequency...Ch. 3.3 - Prob. 7AYUCh. 3.3 - Prob. 8AYUCh. 3.3 - 9. Grade-Point Average Marissa has just completed...Ch. 3.3 - 10. Computing Class Average In Marissa's calculus...Ch. 3.3 - 11. Mixed Chocolates Michael and Kevin want to buy...Ch. 3.3 - Prob. 12AYUCh. 3.3 - Prob. 13AYUCh. 3.3 - 14. Age of Mother The following data represent the...Ch. 3.3 - Prob. 15AYUCh. 3.3 - Prob. 16AYUCh. 3.3 - Prob. 17AYUCh. 3.3 - Prob. 18AYUCh. 3.4 - 1. The ______ represents the number of standard...Ch. 3.4 - Prob. 2AYUCh. 3.4 - 3. ______ divide data sets into fourths.
Ch. 3.4 - 4. The ______ ________ is the range of the middle...Ch. 3.4 - 5. Birth Weights Babies born after a gestation...Ch. 3.4 - 6. Birth Weights Babies born after a gestation...Ch. 3.4 - Prob. 7AYUCh. 3.4 - Prob. 8AYUCh. 3.4 - Prob. 9AYUCh. 3.4 - 10. Batting Champions The highest batting average...Ch. 3.4 - 11. Swim Ryan Murphy, nephew of the author, swims...Ch. 3.4 - 12. Triathlon Roberto finishes a triathlon...Ch. 3.4 - 13. School Admissions A highly selective boarding...Ch. 3.4 - Prob. 14AYUCh. 3.4 - Prob. 15AYUCh. 3.4 - 16. You Explain It! Percentiles Explain the...Ch. 3.4 - 17. You Explain It! Quartiles Violent crimes...Ch. 3.4 - 18. You Explain It! Quartiles One variable that is...Ch. 3.4 - Prob. 19AYUCh. 3.4 - 20. Ogives and Percentiles The following graph is...Ch. 3.4 - 21. SMART Car The following data represent the...Ch. 3.4 - 22. Hemoglobin in Cats The following data...Ch. 3.4 - Prob. 23AYUCh. 3.4 - Prob. 24AYUCh. 3.4 - 25. Fraud Detection As part of its "Customers...Ch. 3.4 - 26. Stolen Credit Card A credit card company has a...Ch. 3.4 - 27. Student Survey of Income A survey of 50...Ch. 3.4 - Prob. 28AYUCh. 3.4 - Prob. 29AYUCh. 3.4 - Prob. 30AYUCh. 3.4 - Prob. 31AYUCh. 3.4 - 32. Write a paragraph that explains the meaning of...Ch. 3.4 - Prob. 33AYUCh. 3.4 - Prob. 34AYUCh. 3.4 - Prob. 35AYUCh. 3.4 - Prob. 36AYUCh. 3.4 - Prob. 37AYUCh. 3.4 - Prob. 38AYUCh. 3.4 - Prob. 39AYUCh. 3.5 - 1. What does the five-number summary consist of?
Ch. 3.5 - 2. In a boxplot, if the median is to the left of...Ch. 3.5 - Prob. 3AYUCh. 3.5 - In Problems 3 and 4, (a) identify the shape of the...Ch. 3.5 - Prob. 5AYUCh. 3.5 - 6. Use the side-by-side boxplots shown to answer...Ch. 3.5 - 7. Exam Scores After giving a statistics exam,...Ch. 3.5 - 8. Speed Reading Jessica enrolled in a course that...Ch. 3.5 - 9. Age at Inauguration The following data...Ch. 3.5 - Prob. 10AYUCh. 3.5 - 11. Age of Mother at Birth The data below...Ch. 3.5 - Prob. 12AYUCh. 3.5 - 13. M&Ms In Problem 25 from Section 3.1, we drew a...Ch. 3.5 - Prob. 14AYUCh. 3.5 - Prob. 15AYUCh. 3.5 - 16. Chips per Cookie Do store-brand chocolate chip...Ch. 3.5 - 17. Putting It Together: Earthquakes Go to...Ch. 3.5 - 18. Putting It Together: Paternal Smoking It is...Ch. 3.5 - Prob. 19AYUCh. 3.5 - Prob. 20AYUCh. 3.5 - 21. Explain how to determine the shape of a...Ch. 3 - Prob. 1RECh. 3 - Prob. 2RECh. 3 - Prob. 3RECh. 3 - Prob. 4RECh. 3 - 5. Chebyshev's Inequality and the Empirical Rule...Ch. 3 - Prob. 6RECh. 3 - Prob. 7RECh. 3 - Prob. 8RECh. 3 - Prob. 9RECh. 3 - 10. Presidential Inaugural Addresses Ever wonder...Ch. 3 - Prob. 11RECh. 3 - Prob. 12RECh. 3 - Prob. 1CTCh. 3 - Prob. 2CTCh. 3 - Prob. 3CTCh. 3 - 4. (a) Determine the standard deviation of the...Ch. 3 - Prob. 5CTCh. 3 - Prob. 6CTCh. 3 - Prob. 7CTCh. 3 - Prob. 8CTCh. 3 - Prob. 9CTCh. 3 - Prob. 10CTCh. 3 - Prob. 11CTCh. 3 - Prob. 12CTCh. 3 - Prob. 13CTCh. 3 - Prob. 14CTCh. 3 - 1. Generate a data set consisting of the length of...Ch. 3 - Prob. 2CSCh. 3 - Prob. 3CSCh. 3 - 4. What other information would be useful to...
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