Suppose the monthly charges for cell phone plans are normally distributed with mean μ=$69 and standard deviation σ=$17. (a) Draw a normal curve with the parameters labeled. (b) Shade the region that represents the proportion of plans that charge less than $52. (c) Suppose the area under the normal curve to the left of X=$52 is 0.1587. Provide an interpretation of this result.

Suppose the monthly charges for cell phone plans are normally distributed with mean μ=$69 and standard deviation σ=$17. (a) Draw a normal curve with the parameters labeled. (b) Shade the region that represents the proportion of plans that charge less than $52. (c) Suppose the area under the normal curve to the left of X=$52 is 0.1587. Provide an interpretation of this result.

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 31PPS

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Question

Suppose the monthly charges for cell phone plans are normally distributed with mean μ=$69 and standard deviation σ=$17.

(a) Draw a normal curve with the parameters labeled.

(b) Shade the region that represents the proportion of plans that charge less than $52.

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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