A commonly used test of intelligence (IQ) results in a normal distribution with a mean of 100 and a standard deviation of 15. What percentage of the population has an IQ between 70 and 130? 34 48 50 68 96 O O

A commonly used test of intelligence (IQ) results in a normal distribution with a mean of 100 and a standard deviation of 15. What percentage of the population has an IQ between 70 and 130? 34 48 50 68 96 O O

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

Related questions

Q: Given a set of data that is skewed-left, there is at least _____ % of the data within 3 standard…

A: From the given information, Consider, As it has been given that data is left skewed as a result one…

Q: The distribution of the IQ (Intelligence Quotient) is approximately normal in shape with a mean of…

A: Given information: μ=100σ=15 Standard deviation rule: 68% of the data lies between μ-σ,μ+σ95% of the…

Q: Find the IQ Score. IQ score 0.3446 Distributed with a mean of 100 and a standard deviation of 15.…

A: Given DataMean = 100Standard deviation = 15Probability of IQ score of adults = 0.3446

Q: Multiplying every score is a sample by a constant value will change the value of the standard…

A: Standard deviation is a measure of the amount of dispersion of a set of values. It is obtained by…

Q: For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 34 beats…

A: From given data we have x=34,x¯=72.0s=14.9

Q: Why is a z score a standard score? Why can standard scores be used to compare scores from different…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: For a set of data that are distributed in a bell or mound shape, approximately what percentage of…

A: In particular, the empirical rule predicts that 68% of observations falls within the first standard…

Q: E Click the icon to view the data table. The sample mean square footage is square feet. Housing Data…

A: Given data, Classes Lower limit Upper limit Mid point (M) Frequency(f) M*F 0-499 0 499 249.5 8…

Q: Assume that weights of men are normally distributed with a mean of 160 pounds and a standard…

A: Given, Weights of men follows normal distribution with mean 160 pounds and standard deviation 25…

Q: Provide descriptive statistics for your program. How many males and how many females were enrolled…

A: As per guidelines we will solve the first question only, please repost other questions for more…

Q: People with z-scores about 2.5 on an IQ test are sometimes classified as geniuses. If IQ scores have…

A: The z-score denotes how many standard deviations away from the mean a raw score is The z-score can…

Q: IQ scores are normally distributed with a mean of 100 and standard deviation 16. Calculate the…

A: The question is about normal dist. Given : Popl. mean of scores ( μ ) = 100 Popl. std. deviation of…

Q: Cars on I-40 have a mean speed of 73 MPH at a certain mile marker, with a standard deviation of 8…

A: Let X = speed of the car. X~N73, 82 To calculate P[70<X<75]. So,…

Q: A successful basketball player has a height of 6 feet 8 inches, or 203 cm. Based on statistics from…

A: Consider X is a random variable defined as the height of a successful basketball player.The provided…

Q: Given that the mean for a data set is 24.8 and the standard deviation is 2.3, find the z-score of…

Q: IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Find the IQ…

A: Excel formula: =NORMINV(0.305,0,1)=-0.5100

Q: A large group of students took a statistics test. The mean score, from the scale of…

Q: Scores for a civil service exam are normally distributed, with a standard deviation of 8. To be…

Q: Data show that men between the ages of 20 and 20 in a general population have a mean height of 69.3…

A: Consider that σ is the standard deviation height of basketball players Here, the claim is that the…

Q: The data are shown below. IQ Scores Younger Sibling 88 107 107 113 78 100 113 108 103 100 Older…

A: Younger (X) Older (Y) d = X-Y 88 101 -13 107 112 -5 Mean (d) -5.2 107 111 -4 SD (d)…

Q: s known that o = 2.15 pounds. %3D sample should be taken to be 93% confident that the sample mean is…

A: The sample size can be calculated as: n=z×σE2 Here, z = desired confidence level E = The allowable…

Q: entrance examinations are normally distributed with a mean of 75 and a standard deviation of 10.…

A: X~N( μ , ?) μ=75 , ?=10 Z-score =( x - μ )/?

Q: The average and standard deviation for ACT scores are 20 and 3 respectively. average and standard…

Q: In an Algebra class, the scores on a test are normally distributed. The middle 68% of the scores…

A: By empirical rule, 68% of data falls within one standard deviation. Thus, based on given info,…

Q: A successful basketball player has a height of 6 feet 5 inch . Based on statistics from a data set,…

A: Given: z score = 2.58 The height of players in cm is 195.58 ≈196cm The formula to compute the…

Q: Human pregnancies are normally distributed with a mean of 267 days and a standard deviation of 15…

A: The mean is 267 days and the standard deviation is 15 days.

Q: IQ scores have a bell-shaped distribution with a mean of 100 and a standard deviation of 15. a. What…

A: Given DataMean = 100Standard Deviation = 15

Q: Calculus I scores at College A have mean 70.21 and standard deviation 15.32; Calculus I scores at…

A: Calculus I scores at College A have mean 70.21 and standard deviation 15.32;Calculus I scores at…

Q: Suppose final exam scores for a college class follow a Normal distribution with mean 80 and standard…

A: Mean()=80standard deviation()=5

Q: The mean value of land and buildings per acre from a sample of properties is $11,800, with a…

A: The objective of this question is to find the range of values within which approximately 99.7% of…

Q: The average cost of a car rental is $0.32 per mile. The standard deviation is $0.03. Using…

A: Range = μ - kσ , μ + kσ

Q: he quantitative subset of the Graduate Record Exam (GRE) has a mean of 500 and a standard deviation…

A: Given data population mean (μ)= 500populatiion sd(σ) = 100sample size(n) = 64sample mean ( x¯ )=…

Q: A distribution of scores has no mode and the same median and mean values. This indicates that the

A: From the given information above, A distribution of scores has no mode and the same median and mean…

Q: A quantitative data set has a size of 50. At least how many observations lie within seven standard…

A: Suppose X is a random variable with expectation, μ and standard deviation, σ. Then, for any positive…

Q: A population is normally distributed with a mean of 20. What is the population standard deviation…

Q: What is the relationship between the variance and the standard deviation for a sample data set? A.…

A: Variance: Variance is defined as a measure of variability to represent members of a group. The…

Q: Scores on the Wechsler Adult Intelligence Scale for the 20 to 34 age group are approximately…

Q: If a data value has a z-score of 3.00 and the mean of the distribution is 100 with a standard…

A: 1) Given data, z=3 μ=100 σ=15 X=?

Q: The distribution of IQ (Intelligence Quotient) is approximately normal in shape with a mean of 100…

A: The random variable IQ follows normal distribution. We have to find the probability of people who…

Q: The 2011 gross sales of all firms in a large city have a mean of $2.4 million and a standard…

A: Let X represent gross sales of all firms in large city Mean(X)=2.4 SD(X)=0.6 From the data:…

Q: Cars on I-40 have a mean speed of 73 MPH at a certain mile marker, with a standard deviation of 8…

A: Given data,μ=73σ=8P(X>78)=?

Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

A commonly used test of intelligence (IQ) results in a normal distribution with a mean of 100 and a standard deviation of 15.
What percentage of the population has an IQ between 70 and 130?
34
48
50
68
96

Expert Solution

Step 1

Given information

Mean µ = 100

Standard deviation σ = 15

Step by step

Solved in 2 steps with 2 images

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

ASK YOUR TEACHER A normal distribution has a mean of 85.3 and a standard deviation of 4.84. Find the data value corresponding to z = 0.75
IQ scores are normally distributed with a mean of 100 and standard deviation 16. Calculate the z-score for an IQ of 76. Include one decimal place in your answer. Add your answer
Recently, a random sample of 13-18 year olds was asked, "How much do you currently have in savings?" The data in the table represent the responses to the survey. Approximate the mean and standard deviation amount of savings. Click the icon to view the frequency distribution for the amount of savings. The sample mean amount of savings is $ (Round to the nearest dollar as needed.) Frequency distribution of amount of savings Savings $0-$199 $200-$399 $400-$599 $600-$799 $800-$999 $1000-$1199 $1200-$1399 Print Frequency 338 97 50 25 10 7 3 Done X
The WAIS is an IQ test. Scores on the WAIS for the 20-34 age group are normally distributed with a mean 110 and a standard deviation of 25. Scores for the 60-64 age group are normally distributed with a mean of 90 and a standard deviation of 25. Find the percent of 20-34-year-olds that have an IQ greater than 120. a. 16% b. z= 0.4 or 40% c. 0.6554 or 65.54% d. 0.3446 or 34.46%
Scores on the Wechsler Adult Intelligence Scale for the 2020 to 3434 age group are approximately Normally distributed with a mean of 110 and a standard deviation of 15. How high must a person score to be in the top 5%5% of all scores? Enter your answer as a whole number.
The heights of women follow a normal distribution with a mean height of 63.7, and a standard deviation in height of 2.9 in. What height separates the shortest 5% of women from the rest. Round your result to 1 decimal place. 68.5 inches 65.4 inches None of these 58.9 inches -1.6 inches
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What is the minimum IQ required to be able to correctly claim to be in the "top 5%" of IQ scores. Round to the nearest whole number.
The quantitative subtest of the Graduate Record Exam (GRE) has a mean of 500 and a standard deviation of 100. What GRE score would correspond to a z score of 1.50? a. 600 b. 500 c. 340 d. 650
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?
Can someone please help? Thank you.
z Scores LeBron James, one of the most successful basketball players of all time, has a height of 6 feet 8 inches, or 203 cm. Based on statistics from Data Set 1 “Body Data” in Appendix B, his height converts to the z score of 4.07. How many standard deviations is his height above the mean?
Find Test Statistic, P value, and Z score.