Statistics Question

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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Step 1

Single sample t test should be used.

This requires two tailed test.

H0: µ = 40

H1: µ ≠ 40

Sample size (n) = 4

The degree of freedom = n – 1 = 4 – 1 = 3

The level of significance (α) = 0.05

The critical value of t at 3 degree of freedom with 0.05 level of significance from the t value table is ±3.1824.

Step 2

Sample mean (M) = 44

Sample variance (s2) = 16

The value of the test statistic can be obtained as:

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