Applied Statistics and Probability for Engineers
Applied Statistics and Probability for Engineers
6th Edition
ISBN: 9781118539712
Author: Douglas C. Montgomery
Publisher: WILEY
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Chapter 5, Problem 128SE
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ons 12. A sociologist hypothesizes that the crime rate is higher in areas with higher poverty rate and lower median income. She col- lects data on the crime rate (crimes per 100,000 residents), the poverty rate (in %), and the median income (in $1,000s) from 41 New England cities. A portion of the regression results is shown in the following table. Standard Coefficients error t stat p-value Intercept -301.62 549.71 -0.55 0.5864 Poverty 53.16 14.22 3.74 0.0006 Income 4.95 8.26 0.60 0.5526 a. b. Are the signs as expected on the slope coefficients? Predict the crime rate in an area with a poverty rate of 20% and a median income of $50,000. 3. Using data from 50 work
2. The owner of several used-car dealerships believes that the selling price of a used car can best be predicted using the car's age. He uses data on the recent selling price (in $) and age of 20 used sedans to estimate Price = Po + B₁Age + ε. A portion of the regression results is shown in the accompanying table. Standard Coefficients Intercept 21187.94 Error 733.42 t Stat p-value 28.89 1.56E-16 Age -1208.25 128.95 -9.37 2.41E-08 a. What is the estimate for B₁? Interpret this value. b. What is the sample regression equation? C. Predict the selling price of a 5-year-old sedan.
ian income of $50,000. erty rate of 13. Using data from 50 workers, a researcher estimates Wage = Bo+B,Education + B₂Experience + B3Age+e, where Wage is the hourly wage rate and Education, Experience, and Age are the years of higher education, the years of experience, and the age of the worker, respectively. A portion of the regression results is shown in the following table. ni ogolloo bash 1 Standard Coefficients error t stat p-value Intercept 7.87 4.09 1.93 0.0603 Education 1.44 0.34 4.24 0.0001 Experience 0.45 0.14 3.16 0.0028 Age -0.01 0.08 -0.14 0.8920 a. Interpret the estimated coefficients for Education and Experience. b. Predict the hourly wage rate for a 30-year-old worker with four years of higher education and three years of experience.

Chapter 5 Solutions

Applied Statistics and Probability for Engineers

Ch. 5.1 - 5-11. For the Transaction Processing Performance...Ch. 5.1 - 5-12. In the transmission of digital information,...Ch. 5.1 - Prob. 13ECh. 5.1 - Prob. 14ECh. 5.1 - Prob. 15ECh. 5.1 - Prob. 16ECh. 5.1 - Prob. 17ECh. 5.1 - 5-18. The conditional probability distribution of...Ch. 5.1 - Prob. 19ECh. 5.1 - 5-20. The time between surface finish problems in...Ch. 5.1 - 5-21. A popular clothing manufacturer receives...Ch. 5.1 - 5-22. The blade and the bearings are important...Ch. 5.1 - Prob. 23ECh. 5.1 - Prob. 24ECh. 5.1 - 5-25. Determine the value of c that makes fXYZ (x,...Ch. 5.1 - 5-26. The yield in pounds from a day’s production...Ch. 5.1 - 5-27. The weights of adobe bricks used for...Ch. 5.1 - 5-28. A manufacturer of electroluminescent lamps...Ch. 5.1 - 5-29. The lengths of the minor and major axes are...Ch. 5.1 - 5-30. An article in Health Economics [“Estimation...Ch. 5.1 - 5-31. An article in Clinical Infectious Diseases...Ch. 5.1 - Prob. 32ECh. 5.2 - Prob. 33ECh. 5.2 - Prob. 34ECh. 5.2 - Prob. 35ECh. 5.2 - Prob. 36ECh. 5.2 - Prob. 37ECh. 5.2 - Prob. 38ECh. 5.2 - Prob. 39ECh. 5.2 - Prob. 40ECh. 5.2 - Prob. 41ECh. 5.2 - Prob. 42ECh. 5.2 - Prob. 43ECh. 5.2 - 5-44. Determine the covariance and correlation for...Ch. 5.2 - Prob. 45ECh. 5.2 - Prob. 46ECh. 5.2 - Prob. 47ECh. 5.3 - 5-48. Test results from an electronic circuit...Ch. 5.3 - Prob. 49ECh. 5.3 - Prob. 50ECh. 5.3 - 5-51. Four electronic ovens that were dropped...Ch. 5.3 - Prob. 52ECh. 5.3 - Prob. 53ECh. 5.3 - 5-54. In an acid-base titration, a base or acid is...Ch. 5.3 - Prob. 55ECh. 5.3 - Prob. 56ECh. 5.3 - Prob. 58ECh. 5.3 - 5-59. If X and Y have a bivariate normal...Ch. 5.3 - 5-60. Show that the probability density function...Ch. 5.3 - Prob. 61ECh. 5.4 - Prob. 62ECh. 5.4 - 5-63. X and Y are independent, normal random...Ch. 5.4 - 5-64. Suppose that the random variable X...Ch. 5.4 - 5-65. A plastic casing for a magnetic disk is...Ch. 5.4 - 5-66. Making handcrafted pottery generally takes...Ch. 5.4 - 5-67. In the manufacture of electroluminescent...Ch. 5.4 - 5-68. The width of a casing for a door is normally...Ch. 5.4 - 5-69. An article in Knee Surgery Sports...Ch. 5.4 - 5-70. An automated filling machine fills...Ch. 5.4 - 5-71. The photoresist thickness in semiconductor...Ch. 5.4 - 5-72. Assume that the weights of individuals are...Ch. 5.4 - 5-73. Weights of parts are normally distributed...Ch. 5.4 - Prob. 74ECh. 5.4 - Prob. 75ECh. 5.4 - Prob. 76ECh. 5.4 - Prob. 77ECh. 5.4 - Prob. 78ECh. 5.5 - 5-79. Suppose that X is a random variable with...Ch. 5.5 - 5-80. Let X be a binomial random variable with p =...Ch. 5.5 - 5-81. Suppose that X is a continuous random...Ch. 5.5 - 5-83. A random variable X has the probability...Ch. 5.5 - Prob. 84ECh. 5.5 - Prob. 85ECh. 5.5 - Prob. 86ECh. 5.5 - Prob. 87ECh. 5.5 - Prob. 88ECh. 5.5 - 5-89. The computational time of a statistical...Ch. 5.5 - Prob. 90ECh. 5.6 - Prob. 91ECh. 5.6 - Prob. 92ECh. 5.6 - 5-93. The geometric random variable X has...Ch. 5.6 - 5-94. The chi-squared random variable with k...Ch. 5.6 - Prob. 95ECh. 5.6 - Prob. 96ECh. 5.6 - Prob. 98ECh. 5.6 - Prob. 99ECh. 5.6 - 5-100. Suppose that Xi has a normal distribution...Ch. 5 - Prob. 101SECh. 5 - 5-102. The percentage of people given an...Ch. 5 - Prob. 103SECh. 5 - Prob. 104SECh. 5 - Prob. 105SECh. 5 - Prob. 106SECh. 5 - Prob. 107SECh. 5 - Prob. 108SECh. 5 - Prob. 109SECh. 5 - 5-110. The weight of adobe bricks for construction...Ch. 5 - Prob. 111SECh. 5 - Prob. 112SECh. 5 - Prob. 113SECh. 5 - Prob. 114SECh. 5 - Prob. 116SECh. 5 - Prob. 117SECh. 5 - Prob. 118SECh. 5 - Prob. 119SECh. 5 - 5-120. An order of 15 printers contains 4 with a...Ch. 5 - Prob. 121SECh. 5 - Prob. 122SECh. 5 - Prob. 123SECh. 5 - Prob. 124SECh. 5 - Prob. 125SECh. 5 - Prob. 126SECh. 5 - Prob. 127SECh. 5 - Prob. 128SECh. 5 - Prob. 129SECh. 5 - Prob. 130SECh. 5 - Prob. 131SECh. 5 - Prob. 132SE
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