According to a government study among adults in the 25 to 34-year age group, the mean amount spent per year on reading and entertainment is $1,994. Assume that the distribution of the amounts spent follows the normal distribution with a standard deviation of $350. a. What percent of the adults spend more than $2,500 per year on reading and entertainment? b. What percent spend between $2,500 and $2,800 per year on reading and entertainment?

According to a government study among adults in the 25 to 34-year age group, the mean amount spent per year on reading and entertainment is $1,994. Assume that the distribution of the amounts spent follows the normal distribution with a standard deviation of $350. a. What percent of the adults spend more than $2,500 per year on reading and entertainment? b. What percent spend between $2,500 and $2,800 per year on reading and entertainment?

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

a. What percent of the adults spend more than $2,500 per year on reading and entertainment?

b. What percent spend between $2,500 and $2,800 per year on reading and entertainment?

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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