Answered: Can we show at the 5% significance…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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The March 2013 issue of Consumer Reports examined bagless upright vacuums and found an average of 19.45 lbs with a standard deviation of 3.68 lbs.
"Vacuums" Consumer Reports March 2012 pg 44.
Assume that the weights are normally distributed. The vacuum company NatureAbhors claims their vacuums are on average lighter than the market average. We sample 44 bagless upright vacuum cleaners from Nature Abhors and get an average of 19.03. Can we show at the 5% significance level that their average is below 19.45?

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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