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Question 3: (12 marks) (1) The ideal diameter of wheel bearings produced in your plant is...

Question 3: (12 marks)


(1) The ideal diameter of wheel bearings produced in your plant is 7.7 mm. You have installed a new machine for
producing and polishing the bearings. The standard deviation of the diameters of the bearings it produces is
0.11 mm. At 95% condence, how large a sample is needed to obtain a margin of error of 0.01 mm?


(2) Amelia wants to estimate the mean weight of apples in her orchard. She'll sample n apples and make a 95%
condence interval for the mean weight. She is willing to use = 15 grams as an estimate of the standard
deviation, and she wants the margin of error to be no more than 5 grams. What is the smallest approximate
sample size required to obtain the desired margin of error?

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