The Mean Diameter of a Ball Bearing Produced by a Certain

question 76

Essay

The mean diameter of a ball bearing produced by a certain manufacturer is 0.80 cm with a standard deviation of 0.03 cm. A sample of 36 ball bearings is randomly selected from a production run. Use Excel to answer the following questions.
a.What is the probability that the sample of ball bearings will have a mean less than 0.798 cm?
b.What is the probability that the sample of ball bearings will have a mean of at least 0.815 cm?
c.What is the probability that the sample of ball bearings will have a mean between 0.798 and 0.815 cm?
d.For samples of size 36, 15% of all sample means are at most what diameter?

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