question archive The diameter of a spindle in a small motor is supposed to be 3

The diameter of a spindle in a small motor is supposed to be 3

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The diameter of a spindle in a small motor is supposed to be 3.6 millimeters (mm) with a standard deviation of 0.12 mm. If the spindle is either too small or too large, the motor will not work properly. The manufacturer measures the diameter in a sample of 48 spindles to determine whether the mean diameter has moved away from the required measurement. Suppose the sample has an average diameter of 3.47 mm.

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(b) Harry thinks that prices in Caldwell, Idaho, are lower than the rest of the country. He reads that the nationwide average price of a certain brand of laundry detergent is $19.95 with standard deviation $2.34. He takes a sample from 41 local Caldwell stores and finds the average price for this same brand of detergent is $17.85.

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