Answered: Lauren and Max work in the sales…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

Lauren and Max work in the sales department for a company that provides home warranties. Lauren has been signing up, on average, 48 new customers each month with a standard deviation of 22, while Max signs up, on average, 56 new customers each month with a standard deviation of 17.

The store manager offers Lauren and Max a $2500 bonus if they can sign up more than 95 or more new customers next month.

Assuming a normal distribution, who is more likely to receive the bonus, Lauren or Max? Is it likely that neither, or perhaps both will receive the bonus? Explain.

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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