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Boxes of nails contain 100 nails each. A sample of 10
Chapter 5, Problem 18SE(choose chapter or problem)
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