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# 99 gallons calculate the appropriate test statistic

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Unformatted text preview: he manufacturer's specifications that the standard deviation of the amount of water is equal to 0.02 gallon. A random sample of 32 bottles is selected, and the mean amount of water per 1 gallon can is found to be 0.995 gallon. Calculate the test statistic A. -2.83 B. -1.41 C. -2.00 D. 2.83 E. 1.41 104. The manager of a grocery store wants to determine whether the amount of water contained in 1 gallon bottle purchased from a nationally known manufacturer actually average 1 gallon. It is known from the manufacturer's specifications that the standard deviation of the amount of water is equal to 0.02 gallon. A random sample of 32 bottles is selected, and the mean amount of water per 1 gallon can is found to be 0.995 gallon. Calculate the p-value. A. .0793 B. .1586 C. .0023 D. .0046 E. .0456 105. The manager of a grocery store wants to determine whether the amount of water contained in 1 gallon bottle purchased from a nationally known manufacturer actually average 1 gallon. It is known from the manufacturer's specifications that the standard deviation of the amount of water is equal to 0.02 gallon. A random sample of 32 bottles is selected, and the mean amount of water per 1 gallon can is found to be 0.995 gallon. Calculate a confidence interval to test the hypotheses at α = .001. A. [0.987 1.003] B. [0.986 1.004] C. [0.984 1.006] D. [0.983 1.007] E. [0.988 1.002] 1-737 Chapter 01 - An Introduction to Business Statistics 106. It has been hypothesized that on average employees spend one hour a day playing video games at work. To test this at her company, a manager takes a random sample of 35 employees who showed a mean time of 55 minutes per day with a standard deviation of 5 minutes. Calculate the test statistic. A. 5.92 B. 63.89 C. 11.84 D. -5.92 E. -63.89 107. It has been hypothesized that on average employees spend one hour a day playing video games at work. To test this at her company, a manager takes a random sample of 35 employees who showed a mean time of 55 minutes per day with a standard deviation of 5 minutes. What is the critical value for testing these hypotheses at α = .01. A. 1.28 B. 1.645 C. 1.96 D. 2.33 E. 2.575 108. It has been hypothesized that on average employees spend one hour a day playing video games at work. To test this at her company, a manager takes a random sample of 35 employees who showed a mean time of 55 minutes per day with a standard deviation of 5 minutes. Calculate a confidence interval to test the hypotheses at α = .02. A. [52.39 57.61] B. [53.03 56.97] C. [52.82 57.18] D. [53.34 56.66] E. [52.46 57.54] 1-738 Chapter 01 - An Introduction to Business Statistics 109. A cereal manufacturer is concerned that the boxes of cereal not be under filled or overfilled. Each box of cereal is supposed to contain 13 ounces of cereal. A random sample of 31 boxes is tested. The average weight is 12.58 ounces and the standard deviation is 0.25 ounces. Calculate the test statistic to test these hypotheses. A. 9.35 B. -9.35 C. 4.68 D. -4.68 E. -1.68 110. A cereal manufacturer is concerned that the boxes of cereal not be under filled or overfilled. Each box of cereal is supposed to contain 13 ounces of cereal. A random sample of 31 boxes is tested. The average weight is 12.58 ounces and the standard deviation is 0.25 ounces. What is the critical value for testing these hypotheses at α = .001. A. 1.28 B. 1.645 C. 2.575 D. 3.09 E. 3.291 111. A cereal manufacturer is concerned that the boxes of cereal not be under filled or overfilled. Each box of cereal is supposed to contain 13 ounces of cereal. A random sample of 31 boxes is tested. The average weight is 12.58 ounces and the standard deviation is 0.25 ounces. Calculate a confidence interval to test the hypotheses at α = .10 A. [12.46 12.70] B. [12.48 12.68] C. [12.49 12.67] D. [12.51 12.65] E. [12.52 12.64] 1-739 Chapter 01 - An Introduction to Business Statistics 112. The local pharmacy prides itself on the accuracy of the number of tablets that are dispensed in a 60 count prescription. The new manager feels that the pharmacy assistants might have become careless in counting due to an increase in the volume of prescriptions. To test her theory she randomly selects 40 prescriptions requiring 60 tablets and recounts the number in each bottle. She finds a sample mean of 62.05 and a standard deviation of 4.45. Calculate the test statistic. A. 2.91 B. -2.91 C. -3.57 D. 6.15 E. 3.57 113. The local pharmacy prides itself on the accuracy of the number of tablets that are dispensed in a 60 count prescription. The new manager feels that the pharmacy assistants might have become careless in counting due to an increase in the volume of prescriptions. To test her theory she randomly selects 40 prescriptions requiring 60 tablets and recounts the number in each bottle. She finds a sample mean of 62.05 and a standard deviation of 4.45. Calculate the p-value. A. 0.0000 B. 0.0018 C. 0.0036 D. 0.0009 E. 0.3859 114. The local pharmacy prides itself on the accuracy of the number of tablets that are dispensed in a 60 count prescription. The new manager feels that the pharmacy...
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## This document was uploaded on 01/20/2014.

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