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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Expert Solution
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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