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A particular type of ballpoint pen uses minute ball bearings that are targeted to have a diameter...

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Question

Basic Math

A particular type of ballpoint pen uses minute ball bearingsthat are targeted to
have a diameter of 0.5 mm. The lower and upper speci cation limitsunder which the
ball bearing can operate are 0.49 mm (lower) and 0.51 mm (upper).Past experience
has indicated that the ball bearings are approximately normallydistributed with a
mean of 0.503 mm and a standard deviation of 0.004 mm. If youselect a sample of 25
ball bearings, what is the probability that the sample meanis:
(a) between the target and the population mean of 0.503 mm?
(b) between the lower speci cation limit and the target?
(c) above the upper speci cation?
(d) The probability is 93.32% that the sample mean diameter will beabove what value?

Answer & Explanation Solved by verified expert
4.5 Ratings (795 Votes)
Target diametr 05 mmLower specification 049 mmUpper specification 051 mmHere te ball    See Answer
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