Suppose IQ scores are normally distributed witha mean of 100 and a standard deviation of 15.What is the probability a random sample of250 people has a mean IQ of more than 102?

Answered: Suppose IQ scores are normally…

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 the heights of a certain population of people follow a normal distribution with a mean of 170 cm and a standard deviation of 10 cm. What is the probability that a randomly selected person from this population will have a height between 160 cm and 180 cm? If a random sample of 100 people is taken from this population, what is the probability that the sample mean height will be greater than 172 cm?
Suppose that heights of 10-year-old boys in the US vary according to a normal distribution with mean of 138 cm and standard deviation of 7. What is the probability that the height of a randomly selected boy is between 131 cm and 145 cm?
Assume that an intelligence test scores are distributed normallt with a mean of 100 and a standard deviation of 15. If you scored 124 on this intelligence test, what is your z-score on this distribution.
The annual salary for an emergency room nurse is a normally distributed random variable with a mean of 80,000 and a standard deviation of 12,000. For a random sample of 36 observations, what is the probability the average salary in the sample is between 78,500 and 81,500?
If 200 scores a taken at random from a normal distribution with mean 70 and standard deviation 5, then how many of them would be expected to be greater than 80?
A typical adult has an average IQ score of 105 with a standard deviation of 20. If 20 randomly selected adults are given an IQ test, what is the probability that the sample mean is between 85 and 125 points?
Scores on a recent national statistics exam were normally distributed with a mean of 80 and a standard deviation of 6. What is the probability that a randomly selected exam will have a score of at least 71? What percentage of exams will have scores between 89 and 92? If the top 2.5% of test scores receive merit awards, what is the lowest score eligible for an award?
The average amount of sleep students get a night is normally distributed with a mean of 6.5 hours and a standard deviation of 2 hours. If you select 9 people, what is the probability that their mean amount of sleep time is between 5.5 to 7 hours?
The Wechsler IQ test is normally distributed with mean 100 points and standard deviation 15 points. Andy Warhol was found to have an IQ of 86 on the Wechsler IQ test. What was his z-score, and what does it mean?
A normally distributed population has a mean equal to 85 and a standard deviation equals 4.0. If a sample of size 49 is selected what is the probability that the sample mean will be less than 73 or greater than 97?
Suppose that in the population of all healthy humans, body temperature follows a normal distribution with mean 98.2 and standard deviation of 0.5. Suppose a random sample of 20 healthy humans is taken. Which sample mean body temperature would be higher than 40% of all sample me and Body temperatures?
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 260 feet and a standard deviation of 50 feet. We randomly sample 49 fly balls. -Find the 70th percentile of the distribution of the average of 49 fly balls

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Suppose IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. What is the probability a random sample of 250 people has a mean IQ of more than 102?