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 mean weekly earnings of all female workers in a state is $710 and the mean weekly earnings of all male workers in the same state is $760. The standard deviations of the weekly earnings are $86 for the females and $106 for the males. Suppose we take one sample of 316 female workers and another sample of 329 male workers from this state. 1.1. By hand, what is the mean of the sampling distribution of the difference between the mean weekly earnings for females and males? 1.2. By hand, what is the standard deviation of the sampling distribution of the difference between the mean weekly earnings for females and males, rounded to two decimal places?
1. A random of 22 fifth grade pupils have a grade point average of 5.02 in Math and a standard deviation of 0.452. Marks ranges fro 1 ( worst) to 6 (excellent). The grade point average (GPA) of all fifth grade pupils of the the last 5 yeras is 4.72. Is the grade point average of the 22 pupils different from the population grade point average?
A population has a meanu= 157 and a standard deviation o= 27. Find the mean and standard deviation of the sampling distribution of sample means with sample size n= 54. The mean is µ; = |, and the standard deviation is o; = (Round to three decimal places as needed.)
Suppose a random sample of 4949 measurements is selected from a population with mean 6060 and standard deviation 1010. Step 2 of 2: Find the standard deviation of the sampling distribution of sample means using the given information. Round to two decimal place, if necessary.
3. The average (or mean) amount of hours spent on social media per day is 2 hours and the standard deviation is 2 hours. Calculate the z scores for the following individual scores: Person 1 (X) = 1 hour, z = Person 2 (X) = 3 hours, z= Person 3 (X) = 4 hours, z=
The time that a randomly selected individual waits for an elevator in an office building has a uniform distribution over the interval from 0 to 1 minute. For this distribution ? = 0.5 and ? = 0.289. (a) Let x be the sample mean waiting time for a random sample of 17 individuals. What are the mean and standard deviation of the sampling distribution of x? (Round your answers to three decimal places.) ?x = ?x = (b) Answer part (a) for a random sample of 45 individuals. (Round your answers to three decimal places.) ?x = ?x = (c) Draw a picture of the approximate sampling distribution of x when n = 45. A graph has a horizontal axis with values from approximately −3.5 to 3.5. A symmetric curve with a single peak in the center of the graph is drawn over the horizontal axis. The curve enters the left of the graph at a height of nearly zero, rises to a peak over the value 0 on the horizontal axis, then decreases and exits the graph on the…
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)
To study the IQ of middle school students, a sample of 64 middle schoolers is selected and the population standard deviation for middle schoolers IQ is 16, then the standard deviation of the sampling distribution for mean IQ of middle schoolers is 2. O True O False
Suppose that we will randomly select a sample of 64 measurements from a population having a mean equal to 20 and a standard deviation equal to 4. Find the mean and the standard deviation of the sampling distribution of the sample mean . (Round your answer to 1 decimal place.)
The time that a randomly selected individual waits for an elevator in an office building has a uniform distribution over the interval from 0 to 1 minute. For this distribution ? = 0.5 and ? = 0.289. (a) Let x be the sample mean waiting time for a random sample of 12 individuals. What are the mean and standard deviation of the sampling distribution of x? (Round your answers to three decimal places.) ?x = ?x = (b) Answer part (a) for a random sample of 40 individuals. (Round your answers to three decimal places.) ?x = ?x =
Suppose we are about to sample 150 values from a normally distributed population that has a mean of 500 and a standard deviation of 10. What is the 80th percentile of the sampling distribution of the sample mean in this scenario? (Give your numeric response to at least 3 decimal places.
The lengths of pregnancies in a small rural village are normally distributed with a mean of 267 days and a standard deviation of 15 days.In what range would you expect to find the middle 95% of most pregnancies?Between and .If you were to draw samples of size 55 from this population, in what range would you expect to find the middle 95% of most averages for the lengths of pregnancies in the sample?Between and .

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