Applied Statistics and Probability for Engineers
6th Edition
ISBN: 9781118539712
Author: Douglas C. Montgomery
Publisher: WILEY
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Chapter 8.2, Problem 37E
To determine
Obtain a 99% confidence interval on
State any necessary assumptions about the underlying distribution of the data.
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A client of a commercial rose grower has been keeping records on the shelf-life of a rose. The client sent the following frequency distribution to the grower.
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1-5
2
6-10
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7
16-20
6
21-25
26-30
5
2
Step 2 of 2: Calculate the population standard deviation for the shelf-life. Round your answer to two decimal places, if necessary.
A market research firm used a sample of individuals to rate the purchase potential of a particular product before and after the individuals saw a new television commercial about the product. The purchase potential ratings were based on a 0 to 10 scale, with higher values indicating a higher purchase potential. The null hypothesis stated that the mean rating "after" would be less than or equal to the mean rating "before." Rejection of this hypothesis would show that the commercial improved the mean purchase potential rating. Use = .05 and the following data to test the hypothesis and comment on the value of the commercial.
Purchase Rating
Purchase Rating
Individual
After
Before
Individual
After
Before
1
6
5
5
3
5
2
6
4
6
9
8
3
7
7
7
7
5
4
4
3
8
6
6
What are the hypotheses?H0: d Ha: d
Compute (to 3 decimals).Compute sd (to 1 decimal).
What is the p-value?The p-value is
What is your decision?
Why would you use a histograph or bar graph? Which would be better and why for the data shown.
Chapter 8 Solutions
Applied Statistics and Probability for Engineers
Ch. 8.1 - 8-1. For a normal population with known variance...Ch. 8.1 - 8-2. For a normal population with known variance...Ch. 8.1 - 8-3. Consider the one-sided confidence interval...Ch. 8.1 - 8-4. A confidence interval estimate is desired for...Ch. 8.1 - Prob. 5ECh. 8.1 - Prob. 6ECh. 8.1 - Prob. 7ECh. 8.1 - 8-8. Following are two confidence interval...Ch. 8.1 - 8-9. Suppose that n = 100 random samples of water...Ch. 8.1 - 8-10. Past experience has indicated that the...
Ch. 8.1 - 8-11. The yield of a chemical process is being...Ch. 8.1 - 8-12. The diameter of holes for a cable harness is...Ch. 8.1 - 8-13. A manufacturer produces piston rings for an...Ch. 8.1 - 8-14. The life in hours of a 75-watt light bulb is...Ch. 8.1 - 8-15. A civil engineer is analyzing the...Ch. 8.1 - Prob. 16ECh. 8.1 - Prob. 17ECh. 8.1 - Prob. 18ECh. 8.1 - Prob. 19ECh. 8.1 - 8-20. If the sample size n is doubled, by how much...Ch. 8.1 - 8-21. Go Tutorial An article in the Journal of...Ch. 8.1 - 8-22. Ishikawa et al. (Journal of Bioscience and...Ch. 8.1 - Prob. 23ECh. 8.2 - 8-24. Find the values of the following...Ch. 8.2 - Prob. 25ECh. 8.2 - Prob. 26ECh. 8.2 - 8-27. A random sample has been taken from a normal...Ch. 8.2 - 8-28. A random sample has been taken from a normal...Ch. 8.2 - 8-29. A research engineer for a tire manufacturer...Ch. 8.2 - 8-30. An Izod impact test was performed on 20...Ch. 8.2 - Prob. 31ECh. 8.2 - Prob. 32ECh. 8.2 - Prob. 33ECh. 8.2 - 8-34. An article in the Journal of Composite...Ch. 8.2 - Prob. 35ECh. 8.2 - Prob. 36ECh. 8.2 - Prob. 37ECh. 8.2 - 8-38. A particular brand of diet margarine was...Ch. 8.2 - 8-39. The compressive strength of concrete is...Ch. 8.2 - 8-40. A machine produces metal rods used in an...Ch. 8.2 - 8-41. An article in Computers & Electrical...Ch. 8.2 - Prob. 42ECh. 8.2 - 8-43. An article in Nuclear Engineering...Ch. 8.2 - Prob. 44ECh. 8.2 - 8-45. A healthcare provider monitors the number of...Ch. 8.3 - 8-46. Q Determine the values of the following...Ch. 8.3 - Prob. 47ECh. 8.3 - 8-48. A rivet is to be inserted into a hole. A...Ch. 8.3 - Prob. 49ECh. 8.3 - Prob. 50ECh. 8.3 - Prob. 51ECh. 8.3 - Prob. 52ECh. 8.3 - Prob. 53ECh. 8.3 - 8-54. An article in Cancer Research [“Analyses of...Ch. 8.3 - Prob. 55ECh. 8.3 - Prob. 56ECh. 8.3 - Prob. 57ECh. 8.3 - Prob. 58ECh. 8.4 - 8-59. The fraction of defective integrated...Ch. 8.4 - Prob. 60ECh. 8.4 - 8-61. The 2004 presidential election exit polls...Ch. 8.4 - 8-62. Of 1000 randomly selected cases of lung...Ch. 8.4 - 8-63. An article in the Journal of the American...Ch. 8.4 - 8-64. A random sample of 50 suspension helmets...Ch. 8.4 - 8-65. The Arizona Department of Transportation...Ch. 8.4 - 8-66. A study is to be conducted of the percentage...Ch. 8.4 - 8-67. The U.S. Postal Service (USPS) has used...Ch. 8.4 - Prob. 68ECh. 8.4 - Prob. 69ECh. 8.4 - Prob. 70ECh. 8.4 - Prob. 72ECh. 8.6 - 8-73. Go Tutorial Consider the tire-testing data...Ch. 8.6 - 8-74. Consider the Izod impact test described in...Ch. 8.6 - 8-75. Consider the syrup-dispensing measurements...Ch. 8.6 - Prob. 76ECh. 8.6 - Prob. 77ECh. 8.6 - 8-78. Consider the margarine test described in...Ch. 8.6 - Prob. 79ECh. 8.6 - Prob. 80ECh. 8.6 - 8-81. Consider the test on the compressive...Ch. 8.6 - Prob. 82ECh. 8.6 - 8-83. Consider the fuel rod enrichment data...Ch. 8.6 - Prob. 84ECh. 8.6 - 8-85. Consider the tire-testing data in Exercise...Ch. 8.6 - Prob. 86ECh. 8.6 - Prob. 87ECh. 8.6 - 8-88. Consider the margarine test described in...Ch. 8.6 - Prob. 89ECh. 8.6 - Prob. 90ECh. 8.6 - 8-91. Consider the television tube brightness data...Ch. 8.6 - Prob. 92ECh. 8.6 - Prob. 93ECh. 8.6 - Prob. 94ECh. 8 - Prob. 95SECh. 8 - 8-96. A normal population has a known mean of 50...Ch. 8 - 8-97. A normal population has known mean μ = 50...Ch. 8 - 8-98. An article in the Journal of Sports Science...Ch. 8 - 8-99. The article “Mix Design for Optimal Strength...Ch. 8 - 8-100. An operating system for a personal computer...Ch. 8 - 8-101. Consider the hemoglobin data in Exercise...Ch. 8 - Prob. 102SECh. 8 - 8-103. The maker of a shampoo knows that customers...Ch. 8 - 8-104. During the 1999 and 2000 baseball seasons,...Ch. 8 - Prob. 105SECh. 8 - 8-106 An article in the ASCE Journal of Energy...Ch. 8 - 8-107. The tar content in 30 samples of cigar...Ch. 8 - Prob. 108SECh. 8 - Prob. 109SECh. 8 - Prob. 110SECh. 8 - 8-111. An article in the Journal of Applied...Ch. 8 - Prob. 112SECh. 8 - Prob. 113SECh. 8 - Prob. 114SECh. 8 - Prob. 115SECh. 8 - Prob. 116SECh. 8 - Prob. 117SECh. 8 - Prob. 118SECh. 8 - Prob. 119SE
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