2. An industrial sewing machine uses ball bearings that are targeted to have a diameter of...

2. An industrial sewing machine uses ball bearings that are targeted to have a diameter of 0.75 inches. The lower and upper specification limits under which the ball bearings can operate properly are 0.74 inches and 0.76 inches, respectively.

Past experience has indicated that the actual diameter of the ball bearings is approximately normally distributed with a mean of 0.753 inches and a standard deviation of 0.004 inches.

What is the probability that a ball bearing is:

a. between the target and the actual mean?

b. between the lower specification limit and the target?

c. above the upper specification limit?

d. below the lower specification limit?

e. Of all the ball bearings, 93% of the diameters are greater than what value?

Document your work clearly and completely. Show your steps
Use Excel to calculate Z-scores
Use Appendix Table B.3 Areas Under the Normal Curve from your text to find table probabilities.
Write complete sentences to answer each question. “The probability of …. is …..”

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Expert Solution

Colby Messinger answered 2 weeks ago

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