Chapter 9 Estimation and Confidence Intervals

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Statistical Techniques in Business & Economics, Lind/Marchal/Wathen, 13/e. 137 . Chapter 9. Estimation and ... Test Bank, Chapter 9. 138. 83. What is the 99% ...
Chapter 9 Estimation and Confidence Intervals 30. A random sample of 85 group leaders, supervisors, and similar personnel revealed that a person spent an average 6.5 years on the job before being promoted. The population standard deviation was 1.7 years. Using the 0.95 degree of confidence, what is the confidence interval for the population mean? A) 6.99 and 7.99 B) 4.15 and 7.15 C) 6.14 and 6.86 D) 6.49 and 7.49 Answer: C 31. The mean weight of trucks traveling on a particular section of I-475 is not known. A state highway inspector needs an estimate of the mean. He selects a random sample of 49 trucks passing the weighing station and finds the mean is 15.8 tons. The population standard deviation is 3.8 tons. What is the 95 percent interval for the population mean? A) 14.7 and 16.9 B) 13.2 and 17.6 C) 10.0 and 20.0 D) 16.1 and 18.1 Answer: A 41. Suppose 1,600 of 2,000 registered voters sampled said they planned to vote for the Republican candidate for president. Using the 0.95 degree of confidence, what is the interval estimate for the population proportion (to the nearest tenth of a percent)? A) 78.2% to 81.8% B) 69.2% to 86.4% C) 76.5% to 83.5% D) 77.7% to 82.3% Answer: A Use the following to answer questions 81-83: A student wanted to quickly construct a 95% confidence interval for the average age of students in her statistics class. She randomly selected 9 students. Their average age was 19.1 years with a standard deviation of 1.5 years. 81. What is the best point estimate for the population mean? A) 2.1 years B) 1.5 years C) 19.1 years D) 9 years Answer: C 82. What is the 95% confidence interval for the population mean? A) [0.97, 3.27] B) [15.64, 22.56] C) [17.97, 20.23] D) [17.95, 20.25] Answer: D

Statistical Techniques in Business & Economics, Lind/Marchal/Wathen, 13/e

137

83. What is the 99% confidence interval for the population mean? A) [17.42, 20.78] B) [17.48, 20.72] C) [14.23, 23.98] D) [0.44, 3.80] Answer: A Use the following to answer questions 84-86: A survey of 25 grocery stores revealed that the average price of a gallon of milk was $2.98 with a standard error of $0.10. 84. What is the 95% confidence interval to estimate the true cost of a gallon of milk? A) $2.81 to $3.15 B) $2.94 to $3.02 C) $2.77 to $3.19 D) $2.95 to $3.01 Answer: C 85. What is the 98% confidence interval to estimate the true cost of a gallon of milk? A) $2.73 to $3.23 B) $2.85 to $3.11 C) $2.94 to $3.02 D) $2.95 to $ 3.01 Answer: A 90. A pharmaceutical company wanted to estimate the population mean of monthly sales for their 250 sales people. Forty sales people were randomly selected. Their mean monthly sales were $10,000 with a standard deviation of $1000. Construct a 95% confidence interval for the population mean. A) [9,690.1, 10,309.9] B) [9,715.5, 10,284.5] C) [8,040, 11,960] D) [8,000, 12,000] Answer: B Use the following to answer questions 91-92: A survey of an urban university (population of 25,450) showed that 750 of 1100 students sampled attended a home football game during the season. What inferences can be made about student attendance at football games? 91. Using the 99% level of confidence, what is the confidence interval? A) [0.767, 0.814] B) [0.0.6550, 0.7050] C) [0.6659, 0.6941] D) [0.0.6795, 0.6805] Answer: C 92. Using the 90% level of confidence, what is the confidence interval? A) [0.7510, 0.8290] B) [0.6620, 0.6980] C) [0.6659, 0.6941] D) [0.0.6795, 0.6805] Answer: B

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Test Bank, Chapter 9