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# Calculate a 91 confidence interval for the mean

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Unformatted text preview: ounces. Construct a 99% confidence interval for the true machine-fill amount. A. [5.888 5.972] B. [5.814 6.046] C. [5.716 6.144] D. [5.824 6.036] E. [5.796 6.064] AACSB: Analytic Bloom's: Application Difficulty: Medium Topic: Confidence interval for population mean σ unknown 57. The coffee/soup machine at the local bus station is supposed to fill cups with 6 ounces of soup. Ten cups of soup are brought with results of a mean of 5.93 ounces and a standard deviation of 0.13 ounces. How large a sample of soups would we need to be 95% confident that the sample mean is within 0.03 ounces of the population mean? A. 97 B. 96 C. 73 D. 62 E. 10 AACSB: Analytic Bloom's: Application Difficulty: Hard Topic: Sample size determination for population mean 1-671 Chapter 01 - An Introduction to Business Statistics 58. A local company makes a candy that is supposed to weigh 1.00 ounces. A random sample of 25 pieces of candy produces a mean of 0.996 ounces with a standard deviation of 0.004 ounces. Construct a 98% confidence interval for the mean weight of all such candy. A. [0.9645 1.0275] B. [0.9956 0.9964] C. [0.9860 1.0060] D. [0.9940 0.9980] E. [0.9942 0.9978] AACSB: Analytic Bloom's: Application Difficulty: Hard Topic: Confidence interval for population mean σ unknown 59. A local company makes a candy that is supposed to weigh 1.00 ounces. A random sample of 25 pieces of candy produces a mean of 0.996 ounces with a standard deviation of 0.004 ounces. How many pieces of candy must we sample if we want to be 99% confident that the sample mean is within 0.001 ounces of the true mean? A. 126 B. 124 C. 107 D. 12 E. 6 AACSB: Analytic Bloom's: Application Difficulty: Medium Topic: Sample size determination for population mean 1-672 Chapter 01 - An Introduction to Business Statistics 60. An environmental group at a local college is conducting independent tests to determine the distance a particular make of automobile will travel while consuming only 1 gallon of gas. A sample of five cars is tested and a mean of 28.2 miles is obtained. Assuming that the standard deviation is 2.7 miles, find the 95% confidence interval for the mean distance traveled by all such cars using 1 gallon of gas. A. [26.16 30.24] B. [20.70 35.70] C. [24.85 31.55] D. [26.70 29.70] E. [25.83 30.57] AACSB: Analytic Bloom's: Application Difficulty: Medium Topic: Confidence interval for population mean σ known 61. An environmental group at a local college is conducting independent tests to determine the distance a particular make of automobile will travel while consuming only 1 gallon of gas. A sample of five cars is tested and a mean of 28.2 miles is obtained. How many cars should the environmental group test if they wish to estimate µ, mean miles per 1 gallon, to within 0.5 miles and be 99% confident? Assume a population standard deviation of 2.7 miles. A. 25 B. 124 C. 194 D. 618 E. 619 AACSB: Analytic Bloom's: Application Difficulty: Medium Topic: Sample size determination for population mean 1-673 Chapter 01 - An Introduction to Business Statistics 62. A sociologist develops a test designed to measure a person's attitudes about disabled people, and 16 randomly selected subjects are given the test. Their mean score is 71.2 with a standard deviation of 10.5. Construct the 99% confidence interval for the mean score of all subjects. A. [40.26 102.14] B. [63.46 78.94] C. [60.66 81.74] D. [64.44 77.96] E. [63.21 79.19] AACSB: Analytic Bloom's: Application Difficulty: Medium Topic: Confidence interval for population mean σ unknown 63. There is an average of 22.455 employees at 22 office furniture dealers in a major metropolitan area with a standard deviation of 18.52. Construct a 99% confidence interval for the true mean number of full-time employees at office furniture dealers. A. [11.014 33.896] B. [11.277 33.633] C. [12.284 32.626] D. [12.513 32.397] E. [20.072 24.838] AACSB: Analytic Bloom's: Application Difficulty: Medium Topic: Confidence interval for population mean σ unknown 1-674 Chapter 01 - An Introduction to Business Statistics 64. A federal bank examiner is interested in estimating the mean outstanding defaulted loans balance of all defaulted loans over the last three years. A random sample of 20 defaulted loans yielded a mean of \$67,918 with a standard deviation of \$16,552.40. Calculate a 90% confidence interval for the mean balance of defaulted loans over the past three years. A. [66,487 69,349] B. [39,299 96,537] C. [57,329 78,507] D. [61,829 74,007] E. [61,519 74,317] AACSB: Analytic Bloom's: Application Difficulty: Medium Topic: Confidence interval for population mean σ unknown 65. An experiment was conducted to determine the effectiveness of a method designed to remove oil wastes found in soil. Three contaminated soil samples were treated. After 95 days, the percentage of contamination removed from each soil sample was measured with a mean of 49.3% and a standard deviation of 1.5%. Estimate the mean percentage of contamination removed at a 98% confi...
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