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Calculate the probability of stopping the manufacturing

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Reference no: EM133036562

The diameter of the rim of Super tires is a random variable that follows a normal distribution. The mean is equal to 16 inches. Assume that the standard deviation of diameter of the rim is 0.3 inches.

For quality control purposes, the diameter of the rim of 9 tires is measured every hour. The manager applies the rule that if the diameter of rim is greater or equal to 16.25, and lesser or equal to 15.75, the manufacturing should be stopped. If the diameter is between 15.75 and 16.25, the manufacturing process is not to be disturbed.

a. Calculate the probability of stopping the manufacturing when the population mean is 16 inches.

b. Calculate the probability of stopping the manufacturing in case the mean is shifted to 16.05 inches.

c. Calculate the probability of not disturbing the manufacturing if the mean is shift to 16.25 inches.

Reference no: EM133036562

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