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

Chapter 5, Problem 18SE

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QUESTION:

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 devi- ation 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.

Let \(\mu_{b o x}\) denote the mean weight of a box of nails. Find a 95% confidence interval for \(\mu_{b o x}\). Let \(\mu_{n a i l}\) denote the mean weight of a nail. Express \(\mu_{n a i l}\) in terms of \(\mu_{b o x}\). Find a 95% confidence interval for \(\mu_{n a i l}\).

Equation transcription:

Text transcription:

\mu_{b o x}

\mu_{n a i l}

Questions & Answers

QUESTION:

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 devi- ation 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.

Let \(\mu_{b o x}\) denote the mean weight of a box of nails. Find a 95% confidence interval for \(\mu_{b o x}\). Let \(\mu_{n a i l}\) denote the mean weight of a nail. Express \(\mu_{n a i l}\) in terms of \(\mu_{b o x}\). Find a 95% confidence interval for \(\mu_{n a i l}\).

Equation transcription:

Text transcription:

\mu_{b o x}

\mu_{n a i l}

ANSWER:

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


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