MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Step 1 :
Given information :
Sample mean for manufactures A , x̅A = 142
Sample mean for manufactures B , x̅B = 140
Population standard deviation for manufactures A , σA = 4.
Population standard deviation for manufactures B , σB = 5
Sample size for A and B is same that is , nA = nB= 68.
Significance level , α = 0.1.
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Step 2 : Hypotheses Information.
Claim : The voltage of the batteries made by two manufacturers is different.
For the word "different" we use ≠ inequality.
The null and alternative hypotheses are as follows;
Ho : µA = µB
Ha : µA ≠ µB
Since we have ≠ inequality in alternative hypotheses so it is Two tailed test.
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Step 3 :
Part 1)
Here note that "Population Standard deviations" are known to us so we will perform Z test for two samples.
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