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Do ball bearings conform to specifications? It is
Chapter 7, Problem 93E(choose chapter or problem)
Problem 93E
Do ball bearings conform to specifications? It is essential in the manufacture of machinery to use parts that conform to specifications. In the past, diameters of the ball bearings produced by a certain manufacturer had a variance of .00156. To cut costs, the manufacturer instituted a less expensive production method. The variance of the diameters of 100 randomly sampled bearings produced by the new process was .00211. Do the data provide sufficient evidence to indicate that diameters of ball bearings produced by the new process are more variable than those produced by the old process?
Questions & Answers
QUESTION:
Problem 93E
Do ball bearings conform to specifications? It is essential in the manufacture of machinery to use parts that conform to specifications. In the past, diameters of the ball bearings produced by a certain manufacturer had a variance of .00156. To cut costs, the manufacturer instituted a less expensive production method. The variance of the diameters of 100 randomly sampled bearings produced by the new process was .00211. Do the data provide sufficient evidence to indicate that diameters of ball bearings produced by the new process are more variable than those produced by the old process?
ANSWER:
Solution:
Step 1 of 2:
It is given that diameter of the ball bearings produced by a manufacturer had a variance 0.00156.
A new method was introduced to produce the ball bearings.When a sample of 100 ball bearings produced by the new method are inspected it has a variance 0.00211.
We have to test is there any evidence to say that the diameter of the ball bearings produced by the new process are more variable than the old process.