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Name: To test whether or not there is a significant difference in the averag
Uploaded: 2024-03-20T07:07:12.000Z
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Description: To test whether or not there is a significant difference in the average snowfall in Maryland, and Virginia, the average snowfall in the two states during a random sample of 92 days during a leap year were recorded. In Maryland, the average is 5.4 inc

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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To test whether or not there is a significant difference in the average snowfall in Maryland, and Virginia, the average snowfall in the two states during a random sample of 92 days during a leap year were recorded. In Maryland, the average is 5.4 inches with a standard deviation of 0.4 inches and in Virginia, the average is 5.2 inches with a standard deviation of 0.4 inches. Test the hypothesis at a 10% level of significance. Use the F-test to solve the Behrens Fisher problem, use Welsh's approximation, the Wilson Hilferty approximation. Use the p-value method.

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Expert Solution

Step 1

The provided sample means are shown below:

$\bar X_1 = 5.4$

$\bar X_2 = 5.2$

Also, the provided sample standard deviations are:

$s_1 = 0.4$

$s_2 = 0.4$

and the sample sizes are $n_1 = 92$ and $n_2 = 92$

Null and Alternative Hypotheses

The following null and alternative hypotheses need to be tested:

Ho: $\mu_1$ = $\mu_2$

Ha: $\mu_1$ ≠ $\mu_2$

This corresponds to a two-tailed test with two independent samples, with unknown population standard deviations will be used.

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