# Question: An industrial sewing machine uses ball bearings that are targeted

An industrial sewing machine uses ball bearings that are targeted to have a diameter of 0.75 inch. The lower and upper specification limits under which the ball bearing can operate are 0.74 inch (lower) and 0.76 inch (upper). Past experience has indicated that the actual diameter of the ball bearings is approximately normally distributed, with a mean of 0.753 inch and a standard deviation of 0.004 inch. If you select a random sample of 25 ball bearings, what is the probability that the sample mean is

a. between the target and the population mean of 0.753?

b. between the lower specification limit and the target?

c. greater than the upper specification limit?

d. less than the lower specification limit?

e. The probability is 93% that the sample mean diameter will be greater than what value?

a. between the target and the population mean of 0.753?

b. between the lower specification limit and the target?

c. greater than the upper specification limit?

d. less than the lower specification limit?

e. The probability is 93% that the sample mean diameter will be greater than what value?

**View Solution:**## Answer to relevant Questions

The fill amount of bottles of a soft drink is normally distributed, with a mean of 2.0 liters and a standard deviation of 0.05 liter. If you select a random sample of 25 bottles, what is the probability that the sample mean ...For each of the following three populations, indicate what the sampling distribution for samples of 25 would consist of: a. Customer receipts for a supermarket for a year. b. Insurance payouts in a particular geographical ...If X-bar = 85, σ = 8, and n = 64, construct a 95% confidence interval estimate for the population mean, μ. The U. S. Department of Transportation requires tire manufacturers to provide tire performance information on the sidewall of a tire to better inform prospective customers as they make purchasing decisions. One very ...One operation of a mill is to cut pieces of steel into parts that are used in the frame for front seats in an automobile. The steel is cut with a diamond saw, and the resulting parts must be cut to be within ± 0.005 inch of ...Post your question