Answered: If you think the null hypothesis is…

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

Let X1 , ... , Xn be a sample from a normal distribution with expected value μX and variance σ²_x .

Be X in addition to size Y1 , ... , Ym a sample from a normal distribution with expected value μY and variance σ²_y . We want to test the null hypothesis μx = μy with a two-tailed counterhypothesis at a significance level of five Y percent. It is assumed that both population variances are known and the test variable corresponding to this situation is used. In which of the following cases (a/b) is the null hypothesis rejected?

If you think the null hypothesis is rejected in both cases, choose option c. If you think the null hypothesis is not rejected in either case, choose option d.
Choose one:
a. If the value of the obtained test quantity is greater than z0.025 .
b. If the value of the obtained test variable is -2.944.
c. Let's reject a and b in both cases.
d. Does not reject either a or b.

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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