EP STATISTICS-ACCESS (18 WEEK)
5th Edition
ISBN: 9780135960592
Author: Sullivan
Publisher: PEARSON CO
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Chapter 5.5, Problem 50AYU
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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 5 Solutions
EP STATISTICS-ACCESS (18 WEEK)
Ch. 5.1 - 1. What is the probability of an event that is...Ch. 5.1 - 2. What does it mean for an event to be unusual?...Ch. 5.1 - Prob. 3AYUCh. 5.1 - Prob. 4AYUCh. 5.1 - 5. In probability, a(n) _____ is any process that...Ch. 5.1 - Prob. 6AYUCh. 5.1 - 7. Verify that the table in the next column is a...Ch. 5.1 - Prob. 8AYUCh. 5.1 - 9. Why is the following not a probability...Ch. 5.1 - Prob. 10AYU
Ch. 5.1 - 11. Which of the following numbers could be the...Ch. 5.1 - 12. Which of the following numbers could be the...Ch. 5.1 - 13. According to Nate Silver, the probability of a...Ch. 5.1 - 14. In seven-card stud poker, a player is dealt...Ch. 5.1 - 15. Suppose that you toss a coin 100 times and get...Ch. 5.1 - 16. Suppose that you roll a die 100 times and get...Ch. 5.1 - 17. Bob is asked to construct a probability model...Ch. 5.1 - 18. Blood Types A person can have one of four...Ch. 5.1 - 19. If a person rolls a six-sided die and then...Ch. 5.1 - 20. If a basketball player shoots three free...Ch. 5.1 - 21. According to the U.S. Department of Education,...Ch. 5.1 - 22. According to the American Veterinary Medical...Ch. 5.1 - 23. Compute the probability of the event E = {1,...Ch. 5.1 - 24. Compute the probability of the event F = { 3,...Ch. 5.1 - 25. Compute the probability of the event E = "an...Ch. 5.1 - 26. Compute the probability of the event F = "an...Ch. 5.1 - 27. Play Sports? A survey of 500 randomly selected...Ch. 5.1 - 28. Volunteer? In a survey of 1100 female adults...Ch. 5.1 - 29. Home Runs The Wall Street Journal regularly...Ch. 5.1 - 30. Planting Tulips A bag of 100 tulip bulbs...Ch. 5.1 - 31. Roulette In the game of roulette, a wheel...Ch. 5.1 - 32. Birthdays Exclude leap years from the...Ch. 5.1 - 33. Genetics A gene is composed of two alleles,...Ch. 5.1 - 34. More Genetics In Problem 33, we learned that...Ch. 5.1 - 35. College Survey In a national survey conducted...Ch. 5.1 - 36. College Survey In a national survey conducted...Ch. 5.1 - 37. Larceny Theft A police officer randomly...Ch. 5.1 - 38. Multiple Births The following data represent...Ch. 5.1 - In Problems 39–42, use the given table, which...Ch. 5.1 - In Problems 39–42, use the given table, which...Ch. 5.1 - In Problems 39–42, use the given table, which...Ch. 5.1 - In Problems 39–42, use the given table, which...Ch. 5.1 - 43. Going to Disney World John, Roberto, Clarice,...Ch. 5.1 - 44. Six Flags In 2011, Six Flags St. Louis had 10...Ch. 5.1 - 45. Barry Bonds On October 5, 2001, Barry Bonds...Ch. 5.1 - 46. Rolling a Die
(a) Roll a single die 50 times,...Ch. 5.1 - 47. Simulation Use a graphing calculator or...Ch. 5.1 - 48. Classifying Probability Determine whether the...Ch. 5.1 - 49. Checking for Loaded Dice You suspect a 6-sided...Ch. 5.1 - Prob. 50AYUCh. 5.1 - Prob. 51AYUCh. 5.1 - Prob. 52AYUCh. 5.1 - Prob. 53AYUCh. 5.1 - Prob. 54AYUCh. 5.1 - Prob. 55AYUCh. 5.1 - Prob. 56AYUCh. 5.1 - Prob. 57AYUCh. 5.1 - Prob. 58AYUCh. 5.1 - Prob. 59AYUCh. 5.1 - Prob. 60AYUCh. 5.1 - Prob. 61AYUCh. 5.2 - 1. What does it mean when two events are...Ch. 5.2 - 2. If E and F are disjoint events, then P(E or F)...Ch. 5.2 - 3. If E and F are not disjoint events, then P(E or...Ch. 5.2 - Prob. 4AYUCh. 5.2 - In Problems 5–12, a probability experiment is...Ch. 5.2 - In Problems 5–12, a probability experiment is...Ch. 5.2 - In Problems 5–12, a probability experiment is...Ch. 5.2 - In Problems 5–12, a probability experiment is...Ch. 5.2 - In Problems 5–12, a probability experiment is...Ch. 5.2 - Prob. 10AYUCh. 5.2 - In Problems 5–12, a probability experiment is...Ch. 5.2 - In Problems 5–12, a probability experiment is...Ch. 5.2 - In Problems 13–18, find the probability of the...Ch. 5.2 - In Problems 13–18, find the probability of the...Ch. 5.2 - In Problems 13–18, find the probability of the...Ch. 5.2 - Prob. 16AYUCh. 5.2 - In Problems 13–18, find the probability of the...Ch. 5.2 - Prob. 18AYUCh. 5.2 - 19. If P(E) = 0.60, P(E or F) = 0.85, and P(E and...Ch. 5.2 - Prob. 20AYUCh. 5.2 - In Problems 21–24, a golf ball is selected at...Ch. 5.2 - Prob. 22AYUCh. 5.2 - In Problems 21–24, a golf ball is selected at...Ch. 5.2 - In Problems 21–24, a golf ball is selected at...Ch. 5.2 - 25. Weapon of Choice The following probability...Ch. 5.2 - 26. Family Structure The following probability...Ch. 5.2 - Prob. 27AYUCh. 5.2 - Prob. 28AYUCh. 5.2 - 29. Medicare Fines In an effort to reduce the...Ch. 5.2 - 30. Housing The following data represents the...Ch. 5.2 - 31. A Deck of Cards A standard deck of cards...Ch. 5.2 - 32. A Deck of Cards A standard deck of cards...Ch. 5.2 - 33. Birthdays Exclude leap years from the...Ch. 5.2 - Prob. 34AYUCh. 5.2 - Prob. 35AYUCh. 5.2 - Prob. 36AYUCh. 5.2 - Prob. 37AYUCh. 5.2 - 38. Getting to Work According to the U.S. Census...Ch. 5.2 - 39. Cigar Smoking The data in the following table...Ch. 5.2 - 40. Working Couples A guidance counselor at a...Ch. 5.2 - Prob. 41AYUCh. 5.2 - 42. Social Media Harris Interactive conducted a...Ch. 5.2 - Prob. 43AYUCh. 5.2 - Prob. 44AYUCh. 5.2 - Prob. 45AYUCh. 5.2 - Prob. 46AYUCh. 5.3 - 1. Two events E and F are ______ if the occurrence...Ch. 5.3 - Prob. 2AYUCh. 5.3 - Prob. 3AYUCh. 5.3 - Prob. 4AYUCh. 5.3 - Prob. 5AYUCh. 5.3 - 6. Suppose events E and F are disjoint. What is...Ch. 5.3 - 7. Determine whether the events E and F are...Ch. 5.3 - 8. Determine whether the events E and F are...Ch. 5.3 - 9. Suppose that events E and F are independent,...Ch. 5.3 - 10. Suppose that events E and F are independent,...Ch. 5.3 - 11. Flipping a Coin What is the probability of...Ch. 5.3 - 12. Rolling a Die What is the probability of...Ch. 5.3 - 13. Southpaws About 13% of the population is...Ch. 5.3 - 14. Double Jackpot Shawn lives near the border of...Ch. 5.3 - 15. False Positives The ELISA is a test to...Ch. 5.3 - 16. Christmas Lights Christmas lights are often...Ch. 5.3 - 17. Life Expectancy The probability that a...Ch. 5.3 - 18. Life Expectancy The probability that a...Ch. 5.3 - 19. Derivatives In finance, a derivative is a...Ch. 5.3 - 20. Quality Control Suppose that a company selects...Ch. 5.3 - Prob. 21AYUCh. 5.3 - 22. Reliability For a parallel structure of...Ch. 5.3 - 23. Reliability and Redundancy, Part II See...Ch. 5.3 - 24. Cold Streaks Players in sports are said to...Ch. 5.3 - 25. Bowling Suppose that Ralph gets a strike when...Ch. 5.3 - Prob. 26AYUCh. 5.3 - 27. Defense System Suppose that a satellite...Ch. 5.3 - Prob. 28AYUCh. 5.3 - 29. Weight Gain and Gender According to the...Ch. 5.3 - 30. Stocks Suppose your financial advisor...Ch. 5.3 - 31. Betting on Sports According to a Gallup Poll,...Ch. 5.3 - Prob. 32AYUCh. 5.3 - Prob. 33AYUCh. 5.3 - Prob. 34AYUCh. 5.4 - 1. The notation P(F|E) means the probability of...Ch. 5.4 - 2. If P(E) = 0.6 and P(E | F) = 0.34, are events E...Ch. 5.4 - 3. Suppose that E and F are two events and that...Ch. 5.4 - 4. Suppose that E and F are two events and that...Ch. 5.4 - 5. Suppose that E and F are two events and that...Ch. 5.4 - 6. Suppose that E and F are two events and that...Ch. 5.4 - 7. Suppose that E and F are two events and that...Ch. 5.4 - 8. Suppose that E and F are two events and that...Ch. 5.4 - 9. According to the U.S. Census Bureau, the...Ch. 5.4 - 10. The probability that a randomly selected...Ch. 5.4 - 11. Drawing a Card Suppose that a single card is...Ch. 5.4 - 12. Drawing a Card Suppose that a single card is...Ch. 5.4 - 13. Rainy Days For the month of June in the city...Ch. 5.4 - 14. Cause of Death According to the U.S. National...Ch. 5.4 - 15. High School Dropouts According to the U.S....Ch. 5.4 - 16. Income by Region According to the U.S. Census...Ch. 5.4 - 17. Made in America In a recent Harris Poll, a...Ch. 5.4 - 18. Social Media Adult Americans (18 years or...Ch. 5.4 - 19. Driver Fatalities The following data represent...Ch. 5.4 - 20. Speeding Tickets Use the results of Problem 44...Ch. 5.4 - 21. Acceptance Sampling Suppose that you just...Ch. 5.4 - 22. Committee A committee consisting of four women...Ch. 5.4 - 23. Suppose that two cards are randomly selected...Ch. 5.4 - 24. Suppose that two cards are randomly selected...Ch. 5.4 - 25. Board Work This past semester, I had a small...Ch. 5.4 - 26. Party My wife has organized a monthly...Ch. 5.4 - 27. Playing Music on Random Setting Suppose that a...Ch. 5.4 - 28. Packaging Error Because of a manufacturing...Ch. 5.4 - 29. Planting Tulips A bag of 30 tulip bulbs...Ch. 5.4 - 30. Golf Balls The local golf store sells an...Ch. 5.4 - 31. Smokers According to the National Center for...Ch. 5.4 - 32. Multiple Jobs According to the U.S. Bureau of...Ch. 5.4 - 33. The Birthday Problem Determine the probability...Ch. 5.4 - 34. The Birthday Problem Using the procedure given...Ch. 5.4 - 35. Teen Communication The following data...Ch. 5.4 - 36. Party Affiliation The following data represent...Ch. 5.4 - Prob. 37AYUCh. 5.4 - Prob. 38AYUCh. 5.4 - Prob. 39AYUCh. 5.4 - Prob. 40AYUCh. 5.4 - Prob. 41AYUCh. 5.4 - Prob. 42AYUCh. 5.4 - 43. Let's Make a Deal In 1991, columnist Marilyn...Ch. 5.5 - 1. A ______ is an ordered arrangement of r objects...Ch. 5.5 - 2. A ______ is an arrangement of r objects chosen...Ch. 5.5 - Prob. 3AYUCh. 5.5 - Prob. 4AYUCh. 5.5 - Prob. 5AYUCh. 5.5 - Prob. 6AYUCh. 5.5 - Prob. 7AYUCh. 5.5 - Prob. 8AYUCh. 5.5 - In Problems 5–10, find the value of each...Ch. 5.5 - Prob. 10AYUCh. 5.5 - In Problems 11–18, find the value of each...Ch. 5.5 - Prob. 12AYUCh. 5.5 - Prob. 13AYUCh. 5.5 - Prob. 14AYUCh. 5.5 - Prob. 15AYUCh. 5.5 - Prob. 16AYUCh. 5.5 - Prob. 17AYUCh. 5.5 - Prob. 18AYUCh. 5.5 - In Problems 19–26, find the value of each...Ch. 5.5 - Prob. 20AYUCh. 5.5 - Prob. 21AYUCh. 5.5 - Prob. 22AYUCh. 5.5 - In Problems 19–26, find the value of each...Ch. 5.5 - Prob. 24AYUCh. 5.5 - Prob. 25AYUCh. 5.5 - Prob. 26AYUCh. 5.5 - Prob. 27AYUCh. 5.5 - Prob. 28AYUCh. 5.5 - Prob. 29AYUCh. 5.5 - Prob. 30AYUCh. 5.5 - 31. Clothing Options A man has six shirts and four...Ch. 5.5 - Prob. 32AYUCh. 5.5 - Prob. 33AYUCh. 5.5 - Prob. 34AYUCh. 5.5 - 35. Traveling Salesperson A salesperson must...Ch. 5.5 - Prob. 36AYUCh. 5.5 - Prob. 37AYUCh. 5.5 - 38. Stocks on the NASDAQ Companies whose stocks...Ch. 5.5 - 39. Garage Door Code Outside a home there is a...Ch. 5.5 - 40. Social Security Numbers A Social Security...Ch. 5.5 - 41. User Names Suppose that a local area network...Ch. 5.5 - Prob. 42AYUCh. 5.5 - Prob. 43AYUCh. 5.5 - Prob. 44AYUCh. 5.5 - Prob. 45AYUCh. 5.5 - Prob. 46AYUCh. 5.5 - 47. Forming a Committee Four members from a...Ch. 5.5 - Prob. 48AYUCh. 5.5 - 49. Lottery A lottery exists where balls numbered...Ch. 5.5 - Prob. 50AYUCh. 5.5 - Prob. 51AYUCh. 5.5 - Prob. 52AYUCh. 5.5 - Prob. 53AYUCh. 5.5 - Prob. 54AYUCh. 5.5 - Prob. 55AYUCh. 5.5 - Prob. 56AYUCh. 5.5 - 57. Landscape Design A golf-course architect has...Ch. 5.5 - 58. Starting Lineup A baseball team consists of...Ch. 5.5 - Prob. 59AYUCh. 5.5 - Prob. 60AYUCh. 5.5 - 61. Selecting a Jury The grade appeal process at a...Ch. 5.5 - Prob. 62AYUCh. 5.5 - Prob. 63AYUCh. 5.5 - Prob. 64AYUCh. 5.5 - Prob. 65AYUCh. 5.5 - Prob. 66AYUCh. 5.5 - Prob. 67AYUCh. 5.5 - Prob. 68AYUCh. 5.5 - Prob. 69AYUCh. 5.5 - Prob. 70AYUCh. 5.5 - Prob. 71AYUCh. 5.6 - 1. What is the difference between a permutation...Ch. 5.6 - Prob. 2AYUCh. 5.6 - Prob. 3AYUCh. 5.6 - Prob. 4AYUCh. 5.6 - Prob. 5AYUCh. 5.6 - Prob. 6AYUCh. 5.6 - Prob. 7AYUCh. 5.6 - Prob. 8AYUCh. 5.6 - In Problems 8 and 9, find the probability of the...Ch. 5.6 - Prob. 10AYUCh. 5.6 - Prob. 11AYUCh. 5.6 - Prob. 12AYUCh. 5.6 - Prob. 13AYUCh. 5.6 - Prob. 14AYUCh. 5.6 - 15. Suppose that E and F are two events and P(E) =...Ch. 5.6 - Prob. 16AYUCh. 5.6 - Prob. 17AYUCh. 5.6 - Prob. 18AYUCh. 5.6 - Prob. 19AYUCh. 5.6 - 20. Starting Lineups Payton's futsal team consists...Ch. 5.6 - Prob. 21AYUCh. 5.6 - 22. Marijuana Use According to the Statistical...Ch. 5.6 - Prob. 23AYUCh. 5.6 - Prob. 24AYUCh. 5.6 - Prob. 25AYUCh. 5.6 - Prob. 26AYUCh. 5.6 - Prob. 27AYUCh. 5.6 - Prob. 28AYUCh. 5.6 - 29. Essay Test An essay test in European History...Ch. 5.6 - Prob. 30AYUCh. 5.6 - Prob. 31AYUCh. 5.6 - Prob. 32AYUCh. 5 - Prob. 1RECh. 5 - Prob. 2RECh. 5 - Prob. 3RECh. 5 - Prob. 4RECh. 5 - Prob. 5RECh. 5 - Prob. 6RECh. 5 - Prob. 7RECh. 5 - Prob. 8RECh. 5 - Prob. 9RECh. 5 - Prob. 10RECh. 5 - 11. Suppose that P(E and F) = 0.35 and P(F) = 0.7....Ch. 5 - Prob. 12RECh. 5 - Prob. 13RECh. 5 - 14. Traffic Fatalities In 2013, there were 32,719...Ch. 5 - Prob. 15RECh. 5 - 16. Gestation Period versus Weight The following...Ch. 5 - 17. Who Do You Trust? According to the National...Ch. 5 - Prob. 18RECh. 5 - Prob. 19RECh. 5 - Prob. 20RECh. 5 - Prob. 21RECh. 5 - Prob. 22RECh. 5 - Prob. 23RECh. 5 - Prob. 24RECh. 5 - Prob. 25RECh. 5 - Prob. 26RECh. 5 - Prob. 27RECh. 5 - Prob. 28RECh. 5 - Prob. 29RECh. 5 - Prob. 30RECh. 5 - Prob. 31RECh. 5 - Prob. 32RECh. 5 - 1. Which among the following numbers could be the...Ch. 5 - For Problems 2–4, let the sample space be
S =...Ch. 5 - For Problems 2–4, let the sample space be
S =...Ch. 5 - Prob. 4CTCh. 5 - Prob. 5CTCh. 5 - Prob. 6CTCh. 5 - Prob. 7CTCh. 5 - Prob. 8CTCh. 5 - Prob. 9CTCh. 5 - Prob. 10CTCh. 5 - Prob. 11CTCh. 5 - Prob. 12CTCh. 5 - Prob. 13CTCh. 5 - Prob. 14CTCh. 5 - Prob. 15CTCh. 5 - Prob. 16CTCh. 5 - Prob. 17CTCh. 5 - Prob. 18CTCh. 5 - Prob. 19CTCh. 5 - Prob. 20CTCh. 5 - Prob. 1CSCh. 5 - Prob. 2CSCh. 5 - Prob. 3CSCh. 5 - Prob. 4CSCh. 5 - Prob. 5CSCh. 5 - Prob. 6CSCh. 5 - Prob. 7CSCh. 5 - Prob. 8CSCh. 5 - Prob. 9CSCh. 5 - Prob. 10CSCh. 5 - Prob. 11CSCh. 5 - Prob. 12CSCh. 5 - Prob. 13CSCh. 5 - Prob. 14CSCh. 5 - Prob. 15CSCh. 5 - Prob. 16CSCh. 5 - Prob. 17CSCh. 5 - Prob. 18CSCh. 5 - Prob. 19CSCh. 5 - Prob. 20CSCh. 5 - Prob. 21CSCh. 5 - Prob. 22CSCh. 5 - Prob. 23CSCh. 5 - Prob. 24CS
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