Answered: In a population of high school boys,…

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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In a population of high school boys, the mean number of girls dated over a four year period is 19.6, with a standard deviation of 4.5.

What is the probability that, in a sample of N = 100, the observed sample mean would be 20.5 or more?
In a sample of N = 100, what is the probability of observing a sample mean that is less than 18.25?
In a sample of N = 100, what is the probability of observing a sample mean between 19 and 20?

Fifty individuals are randomly selected from a population. It is known that, in the population, 5% of all individuals are not going to vote in the next election. Assuming that the percent of nonvoting individuals may be approximated by the normal distribution,

What is the probability that 8% or less of the 50 sampled individuals will not vote?
What is the probability that between 4% and 10% of the sampled individuals will note vote?
What is the probability that more than 12% of the people in the sample will not vote in the next election?

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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