Unformatted text preview: ounces. Construct a 99% confidence interval for the true machinefill
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 1671 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 1672 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 1673 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 fulltime 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 1674 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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 Winter '14
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