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Unformatted text preview: uce per restaurant size bottle differs from the labeled amount of 20 ounces. The manager samples nine bottles, measures the weight of their contents, and finds the sample mean is 19.7 ounces and the sample standard deviation is 0.3 ounces. Calculate the appropriate test statistic to test the hypotheses. A. 3.00 B. 1.00 C. -9.00 D. -1.00 E. -3.00 1-743 Chapter 01 - An Introduction to Business Statistics 124. In a bottling process, a manufacturer will lose money if the bottles contain either more or less than is claimed on the label. Suppose a quality manager for a steak sauce company is interested in testing whether the mean number of ounces of steak sauce per restaurant size bottle differs from the labeled amount of 20 ounces. The manager samples nine bottles, measures the weight of their contents, and finds the sample mean is 19.7 ounces and the sample standard deviation is 0.3 ounces. What is the critical value for α = .05 to test the hypotheses. A. 2.306 B. 2.262 C. 1.860 D. 3.09 E. 1.96 125. A major car manufacturer wants to test a new catalytic converter to determine whether it meets new air pollution standards. The mean emission of all converters of this type must be less than 20 parts per million of carbon. Ten (10) converters are manufactured for testing purposes and their emission levels are measured with a mean of 17.17 and a standard deviation of 2.98. Calculate the appropriate test statistic to test the hypotheses. A. 3.00 B. 9.50 C. -0.95 D. -3.00 E. -9.50 126. A major car manufacturer wants to test a new catalytic converter to determine whether it meets new air pollution standards. The mean emission of all converters of this type must be less than 20 parts per million of carbon. Ten (10) converters are manufactured for testing purposes and their emission levels are measured with a mean of 17.17 and a standard deviation of 2.98. What is the critical value for α = .01 to test the hypotheses. A. -2.821 B. -3.250 C. -2.33 D. 2.821 E. 3.250 1-744 Chapter 01 - An Introduction to Business Statistics 127. According to a national survey, the average commuting time for people who commute to a city with a population of 1 to 3 million is 19.0 minutes. Suppose a researcher lives in a city with a population of 2.4 million and wants to test this claim in her city. Taking a random sample of 20 commuters she calculates a mean time of 19.346 minutes and a standard deviation of 2.842 minutes. Calculate the appropriate test statistic to test the hypotheses. A. 1.08 B. 0.54 C. -1.08 D. -0.54 E. 3.60 128. According to a national survey, the average commuting time for people who commute to a city with a population of 1 to 3 million is 19.0 minutes. Suppose a researcher lives in a city with a population of 2.4 million and wants to test this claim in her city. Taking a random sample of 20 commuters she calculates a mean time of 19.346 minutes and a standard deviation of 2.842 minutes. What is the critical value for α = .10 to test the hypotheses. A. 1.729 B. 1.725 C. 1.328 D. 1.325 E. 1.645 129. In 1930, the average size of a public restroom was 172 square feet; by 1990, due to federal disability laws, the average size had increased to 471 square feet. Suppose that a design team believes that this standard has increased from the 1990 level. They randomly sample 23 public restrooms in a major Midwestern city and obtain a mean square footage of 498.78 with a standard deviation of 46.94. Calculate the appropriate test statistic to test the hypotheses. A. 2.84 B. 13.61 C. 30.34 D. -2.84 E. -13.61 1-745 Chapter 01 - An Introduction to Business Statistics 130. In 1930, the average size of a public restroom was 172 square feet; by 1990, due to federal disability laws, the average size had increased to 471 square feet. Suppose that a design team believes that this standard has increased from the 1990 level. They randomly sample 23 public restrooms in a major Midwestern city and obtain a mean square footage of 498.78 with a standard deviation of 46.94. What is the critical value for α = .001 to test the hypotheses. A. 3.792 B. 3.767 C. 3.505 D. 3.485 E. 3.09 131. A sample of 400 journalism majors at a major research university was asked if they agreed with the following statement "Government should be more involved in oversight and regulation of reporting". Fifty-two (52) percent of the respondents agreed with the statement. Calculate the appropriate test statistic to test the claim that at least 50% of journalism majors agree with the statement. A. 0.80 B. 1.60 C. 8.00 D. -1.60 E. -0.80 132. A sample of 400 journalism majors at a major research university was asked if they agreed with the following statement "Government should be more involved in oversight and regulation of reporting". Fifty-two (52) percent of the respondents agreed with the statement. Calculate the p-value associated with the test statistic. A. .0001 B. .2000 C. .2119 D. .2881 E. .4238 1-746 Chapter 01 - An Introduction to Business Statis...
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