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Unformatted text preview: orted that for a sample of 50 heartburn sufferers, the mean time to relief was 3.3 minutes and the standard deviation was 1.1 minutes. Calculate the appropriate test statistic to test the hypotheses. A. 1.29 B. 9.09 C. -1.29 D. -2.58 E. -9.09 AACSB: Analytic Bloom's: Application Difficulty: Medium Topic: Hypothesis testing 1-788 Chapter 01 - An Introduction to Business Statistics 89. The manufacturer of an over-the-counter heartburn relief mediation claims that its product brings relief in less than 3.5 minutes, on average. To be able to make this claim the manufacturer was required by the FDA to present statistical evidence in support of the claim. The manufacturer reported that for a sample of 50 heartburn sufferers, the mean time to relief was 3.3 minutes and the standard deviation was 1.1 minutes. Calculate the p-value that corresponds to the test statistic. A. 0.0985 B. 0.0001 C. 0.4015 D. 0.005 E. -0.985 AACSB: Analytic Bloom's: Application Difficulty: Medium Topic: Hypothesis testing 90. A company has developed a new ink-jet cartridge for its printer that it believes has a longer life-time on average than the one currently being produced. To investigate its length of life, 225 of the new cartridges were tested by counting the number of high-quality printed pages each was able to produce. The sample mean and standard deviation were determined to be 1511.4 pages and 35.7 pages, respectively. The historical average lifetime for cartridges produced by the current process is 1502.5 pages. Calculate the appropriate test statistic to test the hypotheses. A. 56.09 B. 3.74 C. 22.34 D. -3.74 E. -22.34 AACSB: Analytic Bloom's: Application Difficulty: Medium Topic: Hypothesis testing 1-789 Chapter 01 - An Introduction to Business Statistics 91. A company has developed a new ink-jet cartridge for its printer that it believes has a longer life-time on average than the one currently being produced. To investigate its length of life, 225 of the new cartridges were tested by counting the number of high-quality printed pages each was able to produce. The sample mean and standard deviation were determined to be 1511.4 pages and 35.7 pages, respectively. The historical average lifetime for cartridges produced by the current process is 1502.5 pages. What is the critical value for α = .05 to test the hypotheses. A. 1.645 B. -1.645 C. 1.96 D. 1.28 E. -1.96 AACSB: Analytic Bloom's: Comprehension Difficulty: Easy Topic: Hypothesis testing 92. When 100 randomly selected car owners are surveyed, it is found that the mean length of time they plan to keep their car is 7.01 years, and the standard deviation is 3.74 years. Calculate the appropriate test statistic to test the claim that the mean for all car owners is less than 7.5 years. A. -13.10 B. -2.53 C. -1.31 D. 1.31 E. 2.53 AACSB: Analytic Bloom's: Application Difficulty: Medium Topic: Hypothesis testing 1-790 Chapter 01 - An Introduction to Business Statistics 93. When 100 randomly selected car owners are surveyed, it is found that the mean length of time they plan to keep their car is 7.01 years, and the standard deviation is 3.74 years. Calculate the p-value for the test statistic used to test the claim that the mean years for all car owners is less than 7.5 years. A. -0.0951 B. 0.0951 C. 0.1902 D. 0.0057 E. - 0.0057 AACSB: Analytic Bloom's: Application Difficulty: Medium Topic: Hypothesis testing 94. In a study of distances traveled by buses before the first major engine failure, a sample of 191 buses results in a mean of 96,700 miles and a standard deviation of 37,500 miles. Calculate the appropriate test statistic to test the claim that the mean distance traveled before a major engine failure is more than 90,000 miles. A. 2.47 B. 34.13 C. 478.16 D. -34.13 E. -2.47 AACSB: Analytic Bloom's: Application Difficulty: Medium Topic: Hypothesis testing 1-791 Chapter 01 - An Introduction to Business Statistics 95. In a study of distances traveled by buses before the first major engine failure, a sample of 191 buses results in a mean of 96,700 miles and a standard deviation of 37,500 miles. Calculate the p-value corresponding to the test statistic used to test the claim that the mean distance traveled before a major engine failure is more than 90,000 miles. A. 0.0000 B. 0.0068 C. -0.0068 D. 0.0136 E. -0.0136 AACSB: Analytic Bloom's: Application Difficulty: Medium Topic: Hypothesis testing 96. Standard x-ray machines should give radiation dosages below 5.00 mill roentgens. To test a certain x-ray machine a sample of 36 observations is taken with a mean of 4.13 m. and a standard deviation of 1.91 m. Calculate the appropriate test statistic to test the hypotheses. A. -2.73 B. -3.78 C. -0.455 D. 3.78 E. 2.73 AACSB: Analytic Bloom's: Application Difficulty: Medium Topic: Hypothesis testing 1-792 Chapter 01 - An Introduction to Business Statistics 97. Standard x-ray machines should give radiation dosages below 5.00 mill roentgens. To test a certain x-ray machine a sample of 36 observations is taken with a mean of 4.13...
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