1) On the assumption that IQ's are normally distributed in the populationwith a mean of 100 and a standard deviation of 15, answer the followingquestions:A. What percentage of the population has an IQabove 135?B. If n-20,000, how many people would have an IQabove 90?C. What would be the IQ such that 30% of thescores are below it?D. What would be the IQ of a genius if a genius isdefined as someone whose IQ is at the top 2% ofthe population?

Given that, μ=100,σ=15 (a) The percentage of population has an IQ 135 is,

Answered: 1) On the assumption that IQ's are…

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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1. IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein reportedly had an IQ of 160. Convert Einstein's IQ score to a z score. a. b. If we consider "usual IQ scores to be those that convert z scores between -2 and 2, is Einstein's IQ usual or unusual? C. The organization MENSA, which calls itself the "high IQ society", requires a score of 130 or higher. What percent of adults would qualify for membership? 2. In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0 represents the worst possible life and 10 represents the best possible life. The responses were normally distributed, with a mean of 5.4 and a standard deviation of 2.2. Find the probability that a randomly selected study participant's response was: a. Less than 4 b. Between 4 and 6 c. More than 8 3. The red blood cell count for a population of adult males can be approximated by a normal distribution, with a mean of 5.4 million cells…
Consider the data from the Anthropology 105 class. The mean for women is 64.33 in and the standard deviation is 2.64 in. The average height of men in the US is approximately 5ft 10in. What proportion of women represented here are shorter than the average man?
1. The position number w(letter) tells us where in the alphabet the given letter is located. For instance: w("b") = 2. Find the mean, median and population standard deviation for the vowel position numbers in the English alphabet.
Please answer the following three multiple choice questions :) Summarized below are data for a study to see if hours of sleep per day for med and non-med students are the same: n x¯ s med students 25 5.8 0.83 non-med students 32 6.3 1.39 1. Find the test statistic (assume unequal standard deviation) A. -15.44 B. -5.69 C. -1.69 D. -1.81 2. Let tstat represent the value of the test statistic from the previous question. The degrees of freedom for the test are df = 52. To test the claim that the mean hours of sleep for med and non-med students is different, the P-value is calculated as: A. 2*pt( tstat, df=52, lower.tail = TRUE) B. 2*pt( tstat, df=52, lower.tail = FALSE) C. pt( tstat, df=52, lower.tail = TRUE) D. pt( tstat, df=52, lower.tail = FALSE) 3. The correct P-value is 0.098. At α = 0.05, we A. reject H0. The claim that means are different is not supported. B. reject H0. The claim that means are different is supported. C. fail to reject…
1. Suppose you have the population values of 100 and 160 and their corresponding z-scores are -1 and 2, respectively. Is it possible to determine the population's mean and standard deviation? a. If yes, what are these values? b. If not, explain why it is not possible? 2. There are 3 grades in a report card that you want to interpret in terms of performance: Mathematics=78, English= 88, and Science = 93. The means are 75, 86, and 91, respectively. The standard deviations are 5, 10 and 15, respectively. Is the information sufficient for you to compare the grades? CAVAYANE
Use the fact that IQ score are normally-distributed with a meal of 100, standard deviation of 15 to answer the following questions. a)what percentile is an IQ score of 120? b)what IQ score is the 99th percentile? c)Find the IQ scores that cut off the middle 50% of IQ score. d) would it be unusual to have an IQ score of 132?
7.
Answer the following questions based on these scores: A sample consists of the following n = 6 scores: -2, 7, 6, 4, 1, 3 A) What is the mean? M = B) What is the standard deviation? s = C) What is the Z-score for the raw score of 6? Z =
If the standard error for a sample of size 50 is ?=135.21s then the standard error for the mean ?s which of the following: 2.70 135.21 19.12 67.36
The results from a statistics class’ first test are as follows: The average grade obtained on the test by its 45 students is an 85, with a standard deviation of 15 points. Answer the following based on this information: a. Approximately how many people received a failing grade (less than 65) b. What percentage of people received a grade between a 70 and a 91? c. What percentage of individuals received a score whose z-score was -.70 or less? d. What grade is required in order to be in the top 15 percent? The top 10 percent? e. What percentage of people received a grade between 85 and 95? f. What percentage of people received a grade of 94 or less? g. What grade is required to be in the bottom 20%? h. What z-score is required to be in the top 40%? i. What percentage of individuals have a z-score between -1 and 1.40? j. What percentage of individuals have a z-score between 1.05 and 1.40?
1. The Population Mean IQ is 30 with a standard deviation of 5. Fill in the missing values in this table: X 30 62 48 25 2.50 -1.10 1.25

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