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

See similar textbooks

Similar questions

A sociologist wants to determine if the life expectancy of people in Africa is less than the life expectancy of people in Asia. The data obtained is shown in the table below. Africa Asia = 63.3 yr. 1 X,=65.2 yr. 2 o, = 9.1 yr. = 7.3 yr. n1 = 120 = 150
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…
. Students may be classified as having a math dysfunction—and not have to take statistics—if they score below the 25th percentile on a diagnostic test. The m of the test is 75 and sX 10. Approximately what raw score is the cutoff score needed to avoid taking statistics?
In the past, the mean age of consumers of a product was 38 years. Recently the product has been drastically changed. In order to determine whether there has been a change in the mean age of the product consumers, a sample of 16 consumers is selected. The mean age in the sample is 33 years and the standard deviation in the sample is 10 years. Let u = the mean age of the current product (Problem Set #7) consumers. The value of the test statistic is Oa. -2.00 O b.-1.60 OC .0.8 O d. 4.21
You want to conduct a study on the proportion of Penn State students who miss class when it is raining. Suppose here is the data you collect for students who live on-campus versus students who live off-campus: Never Miss Sometimes Miss Always Miss On-Campus 20 12 13 Off-Campus 45 14 22 a. For on-campus students (only), estimate the true difference in proportions for those who never miss class versus those who always miss class, when it is raining. Place a bound on the error of estimation. b. Estimate the true difference between the proportions of on-campus students who always miss class versus the proportion of off-campus students who always miss class, when it is raining. Place a bound on the error of estimation.
On a scale of 0 to 10, the student rated her enjoyment of stats as an 8. The average rating among students is 5, and the average spread around that mean is 1.5. I got the z score as 2.0. Can you kindly help with these questions below? What percent of college students enjoy statistics more? What percent of college students enjoy statistics less?
The claim is that the proportion of peas with yellow pods is equal to 0.25 (or 25%). The sample statistics from one experiment include 450 peas with 117 of them having yellow pods. Find the value of the test statistic.
A successful basketball player has a height of 6 feet 11 inches, or 211 cm. Based on statistics from a data set, his height converts to the z score of 5.17. How many standard deviations is his height above the mean?
A population of N = 8 scores has a mean of M = 10. After one score is removed, the mean is found to be M = 5 What is the value of the score that was added? A X = 45 B X = 35 C X = 50 D X = 80
In California, we need more rain to sustain the health of our natural environment, argriculture, and economic. A group of statistics students in Oxnard College recorded the amount of rain during 2016-2017 school year, measuring the intensity by the inches of rain, and the results were: Inches of Rain 1 2 3 4 5 6 Frequency 1 2 8 2 1 1 The mean (¯xx¯) rain intensity: inches (Please show your answer to 1 decimal place.)The median rain intensity: inchesThe mode rain intensity: inches (Please separate your answers by ',' in the bimodal situation. Enter DNE if there is no mode or if there are more than two modes.)
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≥p0.515, 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.

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS