The weights of men in a particular age group have mean u = 180 pounds and standard deviation o = 32 pounds.(a) For randomly selected samples of n = 16 men, what is the standard deviation, s.d., of the sampling distribution of possible sample means?s.d.(x) =(b) For randomly selected sanples of n = 64 men, what is the standard deviation, s.d., of the sampling distribution of possible sample means?s.d.(x) =(c) In general, how does increasing the sample size affect the standard deviation of the sampling distribution of possible sample means? Parts (a) and (b) provide ahint.Increasing the sample size decreasessample size multiplies the standard deviation by a factor of one-halfv the value of the standard deviation of the sampling distribution of the sample mean. A fourfold increase in

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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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The weights of men in a particular age group have mean ? = 186 pounds and standard deviation ? = 20 pounds. (a) For randomly selected samples of n = 4 men, what is the standard deviation, s.d., of the sampling distribution of possible sample means? s.d.(x) = (b) For randomly selected samples of n = 16 men, what is the standard deviation, s.d., of the sampling distribution of possible sample means? s.d.(x) = (c) In general, how does increasing the sample size affect the standard deviation of the sampling distribution of possible sample means? Parts (a) and (b) provide a hint. Increasing the sample size (increses/decreases/doesn't effet)the value of the standard deviation of the sampling distribution of the sample mean. A fourfold increase in sample size multiplies the standard deviation by a factor of (1/4, 1/2, 1, 2, or 4)
Suppose heights, in inches, of male orangutans have an unknown distribution with mean 60 and standard deviation 3 inches. A sample of size n = 49 is randomly taken from the population and the mean is taken. Using the Central Limit Theorem for Means, what is the sample mean distribution?
Suppose that in a large population of students, the mean amount of sleep the previous night was ? = 7.1 hours and the standard deviation was ? = 1.8 hours. Consider randomly selected samples of n = 120 students. (a) What is the value of the mean of the sampling distribution of possible sample means?Mean = (b) Calculate the standard deviation, s.d., of the sampling distribution of possible sample means. (Round your answer to three decimal places.) s.d.(x) = (c) Use the Empirical Rule to find values that fill in the blanks at the end of the following sentence. (Round your answers to three decimal places.) For 68% of all randomly selected samples of n = 120 students, the mean amount of sleep the previous night will be between and hours. (d) Use the Empirical Rule to fill in the blanks at the end of the following sentence. (Round your answers to three decimal places.) For 95% of all randomly selected samples of n = 120 students, the mean amount of sleep will be between
(a) Find the mean u and the standard deviation o for the collection of N = 8 stocks. (b) Find the sample mean i and sample standard deviation s of the random sample of stocks.
If numerous samples of N = 15 are taken from a uniform distribution and a relative frequency distribution of the means is drawn, what would be the shape of the frequency distribution?
In a poll conducted by the General Social Survey, 81% of respondents said that their jobs were sometimes or always stressful. Suppose a sample of 500 adults is takes and the proportion that say their jobs were sometimes or always stressful is recorded. Assuming np(1-p) > 10, what is the standard deviation of the sampling distribution of the sample proportion for this problem?
.
Consider the distribution of the average number of hours that college students spend sleeping each weeknight. This distribution is very skewed to the right, with a mean of 5 and a standard deviation of 1. A researcher plans to take a simple random sample of 18 college students. If we were to imagine that we could take all possible random samples of size 18 from the population of college students, the sampling distribution of the average number of hours spent sleeping will have a shape that is ☐ Exactly normal. Just like the population (i.e., very skewed to the right). Less skewed than the population.
5. The distribution of heights of a certain breed of terrier has a mean of 72 centimeters and a standard deviation of 10 centimeters, whereas the distribution of heights of a certain breed of poodle has a mcan of 28 centimeters with a standard deviation of 5 centimcters. Assume the distributions of both types of breeds are normally distributed. (n) Suppose we are taking a random sample of 64 terriers. What is the sampling distri- bution of mean heights of the breed of terriers? (b) Find the probability that the sample mean for a random sample of heights of 61 terriers excoedls 75 centimetcrs. (c) Find the probability that the sample mean for a random sample of heights of 64 terriers excoeds the sample mean for a random sample of heights of 100 poodles by at lenst 44.2 centimeters.

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