
Applied Statistics and Probability for Engineers
6th Edition
ISBN: 9781118539712
Author: Douglas C. Montgomery
Publisher: WILEY
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Chapter 12.5, Problem 70E
a.
To determine
Find the proportion of total variability accounted (R2) for by the model.
b.
To determine
Plot the residuals versus
c.
To determine
Draw a normal
Comment regarding the normality assumption.
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2.2, 13.2-13.3)
question: 5 point(s) possible
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The accompanying table contains the data for the amounts (in oz) in cans of a certain soda. The cans are labeled to indicate that the contents are 20 oz of soda. Use the sign test and
0.05 significance level to test the claim that cans of this soda are filled so that the median amount is 20 oz. If the median is not 20 oz, are consumers being cheated?
Click the icon to view the data.
What are the null and alternative hypotheses?
OA. Ho: Medi
More Info
H₁: Medi
OC. Ho: Medi
H₁: Medi
Volume (in ounces)
20.3
20.1
20.4
Find the test stat
20.1
20.5
20.1
20.1
19.9
20.1
Test statistic =
20.2
20.3
20.3
20.1
20.4
20.5
Find the P-value
19.7
20.2
20.4
20.1
20.2
20.2
P-value=
(R
19.9
20.1
20.5
20.4
20.1
20.4
Determine the p
20.1
20.3
20.4
20.2
20.3
20.4
Since the P-valu
19.9
20.2
19.9
Print
Done
20 oz
20 oz
20 oz
20 oz
ce that the consumers are being cheated.
T
Teenage obesity (O), and weekly fast-food meals (F), among some selected Mississippi teenagers are:
Name Obesity (lbs) # of Fast-foods per week
Josh
185
10
Karl
172
8
Terry
168
9
Kamie
Andy
204
154
12
6
(a) Compute the variance of Obesity, s²o, and the variance of fast-food meals, s², of this data. [Must show full work].
(b) Compute the Correlation Coefficient between O and F. [Must show full work].
(c) Find the Coefficient of Determination between O and F. [Must show full work].
(d) Obtain the Regression equation of this data. [Must show full work].
(e) Interpret your answers in (b), (c), and (d). (Full explanations required).
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The average miles per gallon for a sample of 40 cars of model SX last year was 32.1, with a population standard deviation of 3.8. A sample of 40 cars from this year’s model SX has an average of 35.2 mpg, with a population standard deviation of 5.4.
Find a 99 percent confidence interval for the difference in average mpg for this car brand (this year’s model minus last year’s).Find a 99 percent confidence interval for the difference in average mpg for last year’s model minus this year’s. What does the negative difference mean?
Chapter 12 Solutions
Applied Statistics and Probability for Engineers
Ch. 12.1 - 12.1. Exercise 11.1 described a regression model...Ch. 12.1 - 12.2. A class of 63 students has two hourly exams...Ch. 12.1 - 12.3. Can the percentage of the workforce who are...Ch. 12.1 - Prob. 4ECh. 12.1 - Prob. 5ECh. 12.1 - Prob. 6ECh. 12.1 - Prob. 7ECh. 12.1 - 12-8. You have fit a multiple linear regression...Ch. 12.1 - 12-9. The data from a patient satisfaction survey...Ch. 12.1 - 12-10. The electric power consumed each month by a...
Ch. 12.1 - 12-11. Table E12-3 provides the highway gasoline...Ch. 12.1 - 12-12. The pull strength of a wire bond is an...Ch. 12.1 - Prob. 13ECh. 12.1 - Prob. 14ECh. 12.1 - 12-15. An article in Electronic Packaging and...Ch. 12.1 - 12-16. An article in Cancer Epidemiology,...Ch. 12.1 - Prob. 17ECh. 12.1 - Prob. 18ECh. 12.1 - Prob. 19ECh. 12.1 - Prob. 20ECh. 12.1 - Prob. 21ECh. 12.1 - Prob. 22ECh. 12.1 - 12-23. A study was performed on wear of a bearing...Ch. 12.1 - Prob. 24ECh. 12.2 - 12-25. Recall the regression of percent of body...Ch. 12.2 - Prob. 27ECh. 12.2 - Prob. 28ECh. 12.2 - 12-29. Consider the following computer...Ch. 12.2 - 12-30. You have fit a regression model with two...Ch. 12.2 - 12-31. Consider the regression model fit to the...Ch. 12.2 - 12-32. Consider the absorption index data in...Ch. 12.2 - Prob. 33ECh. 12.2 - Prob. 34ECh. 12.2 - 12-35. Consider the gasoline mileage data in...Ch. 12.2 - Prob. 36ECh. 12.2 - Prob. 37ECh. 12.2 - Prob. 38ECh. 12.2 - 12-39. Consider the regression model fit to the...Ch. 12.2 - Prob. 40ECh. 12.2 - Prob. 41ECh. 12.2 - Prob. 42ECh. 12.2 - 12-43. Consider the NFL data in Exercise...Ch. 12.2 - Prob. 44ECh. 12.2 - 12-45. Consider the bearing wear data in Exercise...Ch. 12.2 - 12-46. Data on National Hockey League team...Ch. 12.2 - Prob. 47ECh. 12.2 - Prob. 48ECh. 12.4 - Prob. 52ECh. 12.4 - 12-53. Consider the regression model fit to the...Ch. 12.4 - 12-55. Consider the semiconductor data in Exercise...Ch. 12.4 - 12-56. Consider the electric power consumption...Ch. 12.4 - Prob. 57ECh. 12.4 - Prob. 58ECh. 12.4 - 12-59. Consider the regression model fit to the...Ch. 12.4 - Prob. 60ECh. 12.4 - 12-61. Consider the regression model fit to the...Ch. 12.4 - Prob. 62ECh. 12.4 - Prob. 63ECh. 12.4 - Prob. 64ECh. 12.4 - Prob. 65ECh. 12.4 - Prob. 66ECh. 12.4 - Prob. 67ECh. 12.4 - 12-68. Consider the NHL data in Exercise...Ch. 12.5 - 12-69. Consider the gasoline mileage data in...Ch. 12.5 - Prob. 70ECh. 12.5 - Prob. 71ECh. 12.5 - Prob. 72ECh. 12.5 - 12-73. Consider the regression model fit to the...Ch. 12.5 - Prob. 74ECh. 12.5 - Prob. 75ECh. 12.5 - Prob. 76ECh. 12.5 - Prob. 77ECh. 12.5 - Prob. 78ECh. 12.5 - Prob. 79ECh. 12.5 - 12-80. Fit a model to the response PITCH in the...Ch. 12.5 - Prob. 81ECh. 12.6 - 12-84. An article entitled “A Method for Improving...Ch. 12.6 - Prob. 85ECh. 12.6 - Prob. 86ECh. 12.6 - Prob. 87ECh. 12.6 - 12-88. Consider the arsenic concentration data in...Ch. 12.6 - Prob. 89ECh. 12.6 - Prob. 90ECh. 12.6 - 12-91. Consider the X-ray inspection data in...Ch. 12.6 - 12-92. Consider the electric power data in...Ch. 12.6 - Prob. 93ECh. 12.6 - Prob. 94ECh. 12.6 - 12-95. Consider the gray range modulation data in...Ch. 12.6 - 12-96. Consider the nisin extraction data in...Ch. 12.6 - Prob. 97ECh. 12.6 - Prob. 98ECh. 12.6 - Prob. 99ECh. 12.6 - 12-100. Consider the arsenic data in Exercise...Ch. 12.6 - 12-101. Consider the gas mileage data in Exercise...Ch. 12.6 - Prob. 102ECh. 12.6 - Prob. 103ECh. 12.6 - Prob. 104ECh. 12.6 - Prob. 105ECh. 12 - Prob. 106SECh. 12 - 12-107. Consider the following inverse of the...Ch. 12 - 12-108. The data shown in Table E12-14 represent...Ch. 12 - Prob. 109SECh. 12 - Prob. 111SECh. 12 - Prob. 112SECh. 12 - 12-113. Consider the jet engine thrust data in...Ch. 12 - 12-114. Consider the electronic inverter data in...Ch. 12 - 12-115. A multiple regression model was used to...Ch. 12 - Prob. 116SECh. 12 - 12-117. An article in the Journal of the American...Ch. 12 - 12-118. Exercise 12-9 introduced the hospital...Ch. 12 - Prob. 119SECh. 12 - Prob. 120SECh. 12 - 12-121. A regression model is used to relate a...Ch. 12 - Prob. 122SECh. 12 - Prob. 123SECh. 12 - Prob. 124SECh. 12 - Prob. 125SE
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