In a production process of metal sticks, the length of these metal sticks is distributed normal with standard deviation of 1.8 millimeter. A random sample of 9 metal sticks are chosen and 99 percent confidence interval is computed with lower and upper bounds of 194.65 and 197.75. The production engineer finds that these bounds are not useful. Instead he wants that these bounds should be 0.50 millimeter larger and less on both sides of the mean with 99 percent confidence interval. Compute the necessary sample size for engineer’s specification.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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In a production process of metal sticks, the length of these metal sticks is distributed normal with standard deviation of 1.8 millimeter. A random sample of 9 metal sticks are chosen and 99 percent confidence interval is computed with lower and upper bounds of 194.65 and 197.75. The production engineer finds that these bounds are not useful. Instead he wants that these bounds should be 0.50 millimeter larger and less on both sides of the mean with 99 percent confidence interval. Compute the necessary sample size for engineer’s specification.
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,