A researcher wants to investigate the effects of environmental factors on IQ scores. For an initial study, she takes a sample of 400 people who grew up as the only child. She finds that 48% of them have an IQ score over 100. It is known that 50% of the general population has an IQ score exceeding 100 (a)Find the mean of p, where p is the proportion of people with IQ scores over 100 in a random sample of 400 people. (b) Find the standard deviation of p. (c) Compute an approximation for P≥p0.48, which is the probability that there will be 48% or more individuals with IQ scores over 100 in a random sample of 400. Round your answer to four decimal places.
A researcher wants to investigate the effects of environmental factors on IQ scores. For an initial study, she takes a sample of 400 people who grew up as the only child. She finds that 48% of them have an IQ score over 100. It is known that 50% of the general population has an IQ score exceeding 100 (a)Find the mean of p, where p is the proportion of people with IQ scores over 100 in a random sample of 400 people. (b) Find the standard deviation of p. (c) Compute an approximation for P≥p0.48, which is the probability that there will be 48% or more individuals with IQ scores over 100 in a random sample of 400. Round your answer to four decimal places.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A researcher wants to investigate the effects of environmental factors on IQ scores. For an initial study, she takes a sample of 400 people who grew up as the only child. She finds that 48% of them have an IQ score over 100. It is known that 50% of the general population has an IQ score exceeding 100
(a)Find the mean of p, where p is the proportion of people with IQ scores over 100 in a random sample of 400 people.
(b) Find the standard deviation of p.
(c) Compute an approximation for P≥p0.48, which is the probability that there will be 48% or more individuals with IQ scores over 100 in a random sample of 400. Round your answer to four decimal places.
Answer the following. (If necessary, consult a list of formulas.)
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