Answered: Mr. Guo selects a random sample of size…

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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Question

Mr. Guo selects a random sample of size 21 from a population that is normally distributed. The sample is found to have mean 82 and variance 25. Prior information suggests the population mean is 76. He wishes to know if there is enough evidence to conclude that the prior information is incorrect.
(a) State the competing theories of this test.
(b) Are the requirements for the One-Sample T Test for μ met? If not, explain why.
(c) Compute the T statistic. Round your answer to three decimal places.
(d) Compute α0 as discussed in class. What conclusion can you draw?

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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