Assume that the sample is a simple random sample obtained from a normally distributed population of IQ scores of statistics professors. Use the table below to find the minimum sample size needed to be 95% confident that the sample standarddeviations is within 20% of a. Is this sample size practical?6To be 95% confident that s iswithinof the value of a, the sample sizen should be at leastTo be 99% confident that s iswithinof the value of a, the sample sizein should be at leastThe minimum sample size needed is1% 5%19,205 7681%10% 20% 30% 40% 50%48 21 12 830% 40% 50%22 141925% 10% 20%33,218 1,336 33685 38C

Introduction: It is required to find the minimum sample size from the given table.

Answered: Assume that the sample is a simple…

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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A personality test has a subsection designed to assess the "honesty" of the test-taker. Suppose that you're interested in the mean score, μ, on this subsection among the general population. You decide that you'll use the mean of a random sample of scores on this subsection to estimate μ. What is the minimum sample size needed in order for you to be 90% confident that your estimate is within 3 of μ? Use the value 23 for the population standard deviation of scores on this subsection. Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements).
Assume that adults have IQ scores that are normally distributed with a mean of 100.2 and a standard deviation 20.9. Find the first quartile Q₁, which is the IQ score separating the bottom 25% from the top 75%. (Hint: Draw a graph.) The first quartile is (Type an integer or decimal rounded to one decimal place as needed.)
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Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the population of potential clientele have head breadths that are normally distributed with a mean of 5.7-in and a standard deviation of 1.1-in.In what range would you expect to find the middle 50% of most head breadths? Between and .If you were to draw samples of size 46 from this population, in what range would you expect to find the middle 50% of most averages for the breadths of male heads in the sample? Between and .Enter your answers as numbers. Your answers should be accurate to 2 decimal places.
Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the population of potential clientele have head breadths that are normally distributed with a mean of 6.1-in and a standard deviation of 1.2-in. In what range would you expect to find the middle 98% of most head breadths? Between and If you were to draw samples of size 44 from this population, in what range would you expect to find the middle 98% of most averages for the breadths of male heads in the sample? Between and Enter your answers as numbers. Your answers should be accurate to 2 decimal places
An IQ test is designed so that the mean is 100 and the standard deviation is 17 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 90% confidence that the sample mean is within 4 IQ points of the true mean. Assume that sigma equals 17 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation. a. The required sample size is (Round up to the nearest integer.)
Please use the approporate stats table provided. Do not use a software for this problem. Q17: If the mean number of serious accidents per year in a large factory (where the number of employees remains constant) is five, find the probability that in the current year there will be:a. No accidents b. One accident c. Two or more
Assume that adults have IQ scores that are normally distributed with a mean of 100.4 and a standard deviation 23.2. Find the first quartile Q1, which is the IQ score separating the bottom 25% from the top 75%. (Hint: Draw a graph.) The first quartile is: (Type an integer or decimal rounded to one decimal place as needed.)
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