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 theonly child. She finds that 49.5% 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 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(p 20.495), which is the probability that there will be 49.5% or more individualswith IQ scores over 100 in a random sample of 400. Round your answer to four decimal places.

A normal distribution is a continuous type probability distribution.It is also known as a…

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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Suppose that the correlation between height and IQ in children is +0.70. What proportion (or percent) of the variability in IQ can be explained by the relationship with height? Select one: a. 44% b. 51% c. 70% d. 49%
Taylor Swift is interested in learning what proportion of her fans want her to re-record her masters, so she takes a simple random sample of 500 fans and asks them. Of the 500 fans, 487 of them (97.4%) respond that they want her to re-record all of her masters. What is the parameter and what is its value? a. The parameter is the average number of all Taylor Swift fans who want her to re-record her masters, which is unknown. b. The parameter is the proportion of the sampled Taylor Swift fans who want her to re-record her masters, which is unknown. c. The parameter is the group of the sampled Taylor Swift fans who want her to re-record her masters, which is 487. d. The parameter is the proportion of the sampled Taylor Swift fans who want her to re-record her masters, which is 0.974. e. The parameter is the proportion of all Taylor Swift fans who want her to re-record her masters, which is unknown. f. The parameter is the proportion of all…
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 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(p 20.515), 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.
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A doctor is concerned that a drug treatment causes people to run a fever. She recruited n=50 participants and gave them the drug treatment. She then measured their body temp 12 hours later. She wants to compare the average temp of her sample to the population average body temp of 98.6 to see if the participants temperature is significantly different. Which statistical test should she use?
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