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 53 % of them have an IQ score over 100 . It is known that 50 % of the general population has an IQ score exceeding 100 . Find the mean of p , where p is the proportion of people with IQ scores over 100 in a random sample of 400 people. Find the standard deviation of p . Compute an approximation for P ≥ p 0.53 , which is the probability that there will be 53 % 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 53 % of them have an IQ score over 100 . It is known that 50 % of the general population has an IQ score exceeding 100 . Find the mean of p , where p is the proportion of people with IQ scores over 100 in a random sample of 400 people. Find the standard deviation of p . Compute an approximation for P ≥ p 0.53 , which is the probability that there will be 53 % 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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Question
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
53
%
of them have an IQ score over
100
. It is known that
50
%
of the general population has an IQ score exceeding
100
.
Find the
p
, where
p
is the proportion of people with IQ scores over
100
in a random sample of
400
people.
Find the standard deviation of
p
.
Compute an approximation for
P
≥
p
0.53
, which is the
53
%
or more individuals with IQ scores over
100
in a random sample of
400
. Round your answer to four decimal places.
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