In an election, suppose that 55% of voters support a school levy increase. If we poll 176 of these voters at random, the probability distribution for the proportion of the polled voters that support a school levy increase can be modeled by the normal distribution pictured below. The bell curve below represents the distribution of these sample proportions. The scale on the horizontal axis is the standard deviation of the sampling distribution. So each tick mark represents a distance of one standard deviation on the distribution, with the middle tick mark being the mean of the distribution. Complete the boxes accurate to two decimal places .

In an election, suppose that 55% of voters support a school levy increase. If we poll 176 of these voters at random, the probability distribution for the proportion of the polled voters that support a school levy increase can be modeled by the normal distribution pictured below. The bell curve below represents the distribution of these sample proportions. The scale on the horizontal axis is the standard deviation of the sampling distribution. So each tick mark represents a distance of one standard deviation on the distribution, with the middle tick mark being the mean of the distribution. Complete the boxes accurate to two decimal places .

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

In an election, suppose that 55% of voters support a school levy increase. If we poll 176 of these voters at random, the probability distribution for the proportion of the polled voters that support a school levy increase can be modeled by the normal distribution pictured below. The bell curve below represents the distribution of these sample proportions. The scale on the horizontal axis is the standard deviation of the sampling distribution. So each tick mark represents a distance of one standard deviation on the distribution, with the middle tick mark being the mean of the distribution.

Complete the boxes accurate to two decimal places .

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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