Act 3 Week 4

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Activity Week 4 
3. A random sample is obtained from a population with a variance of σ^2 = 200, and the 
sample mean is computed to be x ̅c=60. 
 
Test if the mean value is μ=40. 
Test the claim at the 10% significance (α=10). 
Consider the null hypothesis H0: μ=40 versus the alternative hypothesis H1 μ ≠ 40 
The distribution of the mean is normal 
N = 100. 
 
Z=
x̅−µ 
𝜎
√𝑛
=
60−40
14.14
√100
= 14.14 
Reject H0 if z > 1.96 
Since 14.14>1.96, we do reject the null that the mean is equal to 40.