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Boxes of nails contain 100 nails each. A sample of 10

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 18SE Chapter 5

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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Problem 18SE

Boxes of nails contain 100 nails each. A sample of 10 boxes is drawn, and each of the boxes is weighed. The average weight is 1500 g and the standard deviation is 5 g. Assume the weight of the box itself is negligible, so that all the weight is due to the nails in the box.

a. Let µbox denote the mean weight of a box of nails. Find a 95% confidence interval for µbox.

b. Let µnail denote the mean weight of a nail. Express µnail in terms of µbox.

c. Find a 95% confidence interval for µnail.

Step-by-Step Solution:

Step 1 of  4

Given the box contains 100 nails each

The sample size is 10 boxes

The mean weight of the box

The Standard deviation of the box is

Step 2 of  4

a) We have to find the 95% confidence interval for average weight of the box

Here n=10

So, we have to use the t-Distribution with degrees of freedom

The 95% confidence interval is

Here is the critical value for 5% level of significance at 9 degrees of freedom

Then =2.262

Then 95% confidence interval is

                                                    =1500)

                                                    =15003.58

                                                    =(1496.42, 1503.58)

Hence the confidence intervals is (1496.42, 1503.58)

Step 3 of 4

Chapter 5, Problem 18SE is Solved
Step 4 of 4

Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

This full solution covers the following key subjects: box, weight, Nails, nail, boxes. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. Since the solution to 18SE from 5 chapter was answered, more than 250 students have viewed the full step-by-step answer. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. The answer to “Boxes of nails contain 100 nails each. A sample of 10 boxes is drawn, and each of the boxes is weighed. The average weight is 1500 g and the standard deviation is 5 g. Assume the weight of the box itself is negligible, so that all the weight is due to the nails in the box.a. Let µbox denote the mean weight of a box of nails. Find a 95% confidence interval for µbox.________________b. Let µnail denote the mean weight of a nail. Express µnail in terms of µbox.________________c. Find a 95% confidence interval for µnail.” is broken down into a number of easy to follow steps, and 96 words. The full step-by-step solution to problem: 18SE from chapter: 5 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM.

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