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Unformatted text preview: 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 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 1-733 Chapter 01 - An Introduction to Business Statistics 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 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 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 1-734 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 m. and a standard deviation of 1.91 m. Calculate the p-value for this test statistic. A. 0.0032 B. 0.0001 C. 0.3264 D. 0.0064 E. -0.0032 98. It is estimated that the average person in the US uses 123 gallons of water per day. Some environmentalists believe this figure is too high and conducted a survey of 40 randomly selected Americans. They find a mean of 113.03 gallons and a standard deviation of 25.99 gallons. Calculate the appropriate test statistic to test the hypotheses. A. -0.38 B. 2.43 C. 0.38 D. -15.34 E. -2.43 99. It is estimated that the average person in the US uses 123 gallons of water per day. Some environmentalists believe this figure is too high and conducted a survey of 40 randomly selected Americans. They find a mean of 113.03 gallons and a standard deviation of 25.99 gallons. Calculate the p-value for this test statistic. A. 0.4925 B. -0.0075 C. 0.0075 D. 0.015 E. 0.352 1-735 Chapter 01 - An Introduction to Business Statistics 100. A manufacturer of salad dressings uses machines to dispense liquid ingredients into bottles that move along a filling line. The machine that dispenses dressing is working properly when 8 ounces are dispensed. The standard deviation of the process is 0.15 ounces. A sample of 48 bottles is selected periodically, and the filling line is stopped if there is evidence that the mean amount dispensed is different from 8 ounces. Suppose that the mean amount dispensed in a particular sample of 48 bottles is 7.983 ounces. Calculate the test statistic. A. -0.785 B. -1.57 C. -3.04 D. 1.57 E. 0.785 101. A manufacturer of salad dressings uses machines to dispense liquid ingredients into bottles that move along a filling line. The machine that dispenses dressing is working properly when 8 ounces are dispensed. The standard deviation of the process is 0.15 ounces. A sample of 48 bottles is selected periodically, and the filling line is stopped if there is evidence that the mean amount dispensed is different from 8 ounces. Suppose that the mean amount dispensed in a particular sample of 48 bottles is 7.983 ounces. Calculate the p-value. A. .216 B. .432 C. .0012 D. .0582 E. .1164 102. A manufacturer of salad dressings uses machines to dispense liquid ingredients into bottles that move along a filling line. The machine that dispenses dressing is working properly when 8 ounces are dispensed. The standard deviation of the process is 0.15 ounces. A sample of 48 bottles is selected periodically, and the filling line is stopped if there is evidence that the mean amount dispensed is different from 8 ounces. Suppose that the mean amount dispensed in a particular sample of 48 bottles is 7.983 ounces. Calculate a confidence interval to test the hypotheses at α = .05. A. [7.947 8.019] B. [7.941 8.025] C. [7.933 8.033] D. [7.955 8.011] E. [7.916 8.050] 1-736 Chapter 01 - An Introduction to Business Statistics 103. 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 t...
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