Answered: Boxes of nails contain 100 nails each.…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 μ_box denote the mean weight of a box of nails. Find a 95% confidence interval for
μ_box.
b) Let μ_nail denote the mean weight of a nail. Express μ_nail in terms of μ_box
c) Find a 95% confidence interval for μ_nail.

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