Answered: For a population with a mean of μ= 50…

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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For a population with a mean of μ= 50 and a standard deviation of σ= 10, compute the standard error of the mean for each of he following:

n = 16 Answer:

n = 25 Answer:

For a population with a mean of μ= 50 and a standard deviation of σ= 10, compute the z-score using the previous question's standard error of the mean.

n = 16 Answer:

n = 25 Answer:

For a population with a mean of μ= 40 and a standard deviation of σ= 6, find the z-score corresponding to each of the following samples:

a. M = 43 for a sample of n =4

b. M = 43 for a sample of n = 16

A sample of n = 4 scores has a mean of M = 75. Find the z-score for this sample:

a. If it was obtained from a population with μ = 80 and σ = 10.

b. If it was obtained from a population with μ= 80 and σ= 20

The population of IQ scores forms a normal distribution with a mean of μ= 100 and a standard deviation of σ= 15. What is the probability of obtaining a sample mean greater than M = 95,

a. for a random sample of n = 9 people?

b. for a random sample of n = 25 people?

A normal distribution has a mean of μ= 54 and a standard deviation of σ=6 What is the probability of randomly selecting a score more than 51?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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