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 51.5% of them have an IQ score over 100. It is known that 50% of the general population has an IQ score exceeding 100.Answer the following. (If necessary, consult a list of formulas.)(a) Find the mean of \(\hat{p}\), where \(\hat{p}\) is the proportion of people with IQ scores over 100 in a random sample of 400 people.[Box for answer](b) Find the standard deviation of \(\hat{p}\).[Box for answer](c) Compute an approximation for \(P(\hat{p} \geq 0.515)\), which is the probability that there will be 51.5% or more individuals with IQ scores over 100 in a random sample of 400. Round your answer to four decimal places.[Box for answer]

Answered: A researcher wants to investigate the…

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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