Answered: Clothing sizes are not standardized…

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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Question

Clothing sizes are not standardized across brands. Suppose that a large study of women's size 4 jeans revealed that the mean hip measurment was 35.8 in with a standard deviation of 0.7 in. As part of a project for a fashion merchandizing class, Mallorie selects a simple random sample of 15 pairs of women's size 6 jeans and records the following hip measurements, in inches.

38.3,36.8,37.0,37.0,37.4,37.1,36.8,37.9,36.8,36.1,36.5,37.8,36.7,36.6,37.138.3,36.8,37.0,37.0,37.4,37.1,36.8,37.9,36.8,36.1,36.5,37.8,36.7,36.6,37.1

Mallorie plans to use this data to construct a 90% confidence interval for ?μ, the mean hip measurement of women's size 6 jeans. She assumes that the hip measurements are normally distributed and that the population standard deviation is 0.7 in.

The sample mean, ?⎯⎯⎯x¯, is the point estimate for a confidence interval to estimate a population mean. What is the mean hip measurement for the random sample of 15 pairs of women's size 6 jeans? Give your answer precise to two decimal places.

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