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# A large box contains 10,000 ball bearings. A random sample ISBN: 9780073401331 38

## Solution for problem 23E Chapter 5.1

Statistics for Engineers and Scientists | 4th Edition

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Problem 23E

A large box contains 10,000 ball bearings. A random sample of 120 is chosen. The sample mean diameter is 10 mm, and the standard deviation is 0.24 mm.

True or false:

a. A 95% confidence interval for the mean diameter of the 120 bearings in the sample is b. A 95% confidence interval for the mean diameter of the 10,000 bearings in the box is 10 ± c. A 95% confidence interval for the mean diameter of the 10,000 bearings in the box is 10 ± (1.96) (0.24) / Step-by-Step Solution:

Step 1 of 2 :

A box contains 10,000 ball bearings. A random sample of 120 bearing is selected. The sample mean diameter is 10mm , and  the standard deviation is 0.24 mm.

Here the population size is, N= 10,000

Sample size, n= 120.

Sample mean, Standard deviation, = 0.24 mm.

Step 2 of 2

##### ISBN: 9780073401331

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A large box contains 10,000 ball bearings. A random sample

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