consumer products manufacturer is formulating a new shampoo and is interested in foam height (in millimeters). Foam height is approximately normally distributed with a standard deviation of 18 millimeters and sample mean of 190. The manufacturer wishes to test the hypothesis that the population mean is greater than 180 millimeters by

consumer products manufacturer is formulating a new shampoo and is interested in foam height (in millimeters). Foam height is approximately normally distributed with a standard deviation of 18 millimeters and sample mean of 190. The manufacturer wishes to test the hypothesis that the population mean is greater than 180 millimeters by

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 22SGR

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Question

A consumer products manufacturer is formulating a new shampoo and is interested in foam height (in millimeters). Foam height is approximately normally distributed with a standard deviation of 18 millimeters and sample mean of 190. The manufacturer wishes to test the hypothesis that the population mean is greater than 180 millimeters by using 40 samples. Use alpha 0.05.

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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