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Name: Clothing sizes are not standardized across brands. Suppose that a larg
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Description: Clothing sizes are not standardized across brands. Suppose that a large study of women's size 14 jeans revealed that the mean hip measurment was 42.3 in with a standard deviation of 1.2 in. As part of a project for a fashion merchandizing class, Mall

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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Clothing sizes are not standardized across brands. Suppose that a large study of women's size 14 jeans revealed that the mean hip measurment was 42.3 in with a standard deviation of 1.2 in. As part of a project for a fashion merchandizing class, Mallorie selects a simple random sample of 15 pairs of women's size 16 jeans and records the following hip measurements, in inches.

44.5,43.0,46.6,42.9,43.7,43.9,42.4,43.2,43.1,44.4,46.1,44.7,44.4,43.9,44.744.5,43.0,46.6,42.9,43.7,43.9,42.4,43.2,43.1,44.4,46.1,44.7,44.4,43.9,44.7

Mallorie plans to use this data to construct a 99% confidence interval for ?μ, the mean hip measurement of women's size 16 jeans. She assumes that the hip measurements are normally distributed and that the population standard deviation is 1.2 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 16 jeans? Give your answer precise to two decimal places.

Question 2: What is the margin of error for Mallorie's confidence interval? Give your answer precise to two decimal places?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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