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Exam 5: A Normal World

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Question 31

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Select the distribution that appears to be the most normal.

A)

B)

C)

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Question 32

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A study of the amount of time it takes a mechanic to rebuild the transmission for a 1992 Chevrolet Cavalier shows that the mean is 8.4 hours and the standard deviation is 1.77 hours. Assume that a random sample of 40 mechanics is selected and the mean rebuild time of the sample is computed. Assuming the mean times are normally distributed, what percentage of sample means are greater than 7.7 hours?

A) 0.62%
B) 34.46%
C) 65.54%
D) 99.38%

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Question 33

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Which one of the three variables below is most likely to be normally or nearly normally distributed?

The annual precipitation for one city is normally distributed with a mean of 72 inches and a standard deviation of 3.5 inches. Fill in the blanks. In 99.7% of the years, the precipitation in this city is between _____ and _____ inches.

A final exam in Math 160 has a mean of 73 with standard deviation 7.73. Assume that a random sample of 24 students is selected and the mean test score of the sample is computed. What percentage of sample means are less than 70?

A study of the amount of time it takes a mechanic to rebuild the transmission for a 1992 Chevrolet Cavalier shows that the mean is 8.4 hours and the standard deviation is 1.77 hours. Assume that a random sample of 40 mechanics is selected and the mean rebuild time of the sample is computed. Assuming the mean times are normally distributed, what percentage of sample means are greater than 9.1 hours?

Standard used car prices are based on the assumption that a car will be driven an average of 12,000 miles per year. If the standard deviation is 2000 miles, approximately what percent of cars will be driven between 8000 and 16,000 miles per year?