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. A standard test of intelligence is scaled so that the mean IQ is 100, and the standard deviation is 15. If there are 40,00 people in a certain town, what is the percentage of people who have an IQ between 70 and 130? 2.How many people in the town have IQ between 70 and 130? 3.
a. Develop a hypothesis test that can be used to determine whether the mean annual consumption in Webster City is higher than the national mean. Ho: $21.5 Ha: >21.5 b. What is a point estimate of the difference between mean annual consumption in Webster City and the national mean? (2 decimals) c. At a = 0.01, test for a significant difference by completing the following. Calculate the value of the test statistic (2 decimals). The p-value is Reject the null hypothesis? (4 decimals) Yes v What is your conclusion? Conclude the population mean consumption of milk in Webster City is greater tha
A standardized memory test has a mean of u = 10p and a standard deviation of ó = 10. Answer the following questions: A. What proportion of people would score below 88 on the memory test? B. What is the percentile rank for someone who scored a 116 on the memory test? C. What are the scores that separate the middle 30% (15% each side of the mean) D. What percent of individuals would score between 86 and 109?
2. The blood cholesterol levels of men age 55 to 64 are approximately Normal, with mean 222milligrams per deciliter (mg/dl) and standard deviation 37 mg/dl. A random sample of 58individuals will be collected and the sample mean cholesterol level will be computed. a. What is the mean of the sample mean? b. What is the standard deviation of the sample mean?
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…
4. The lowest and the highest data value of a data set are 12 and 28 respectively, then the approximate standard deviation is:
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.
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
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 =
2. The population standard deviation for the age of Fictional College students is 8.4 years. If we want to be 95% confident that the sample mean age is within one year of the true population mean age of Fictional College students, how many randomly selected Fictional College students must be surveyed?

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