Question

The mean gross annual incomes of certified welders are normally distributed with the mean of $20,000 and a standard deviation of $2,000. The ship building association wishes to find out whether their welders earn more or less than $20,000 annually. The alternate hypothesis is that the mean is not $20,000.

Required:
What is the alternate hypothesis?

Answer 1

H1 : μ ≠ 20000

Explanation:

Given that :

Population mean salary, μ = 20,000

To test if mean salary is more or less Than population mean salary, μ, this means we are testing if the mean salary is different from 20,000

Hence, the hypothesis :

Null, H0 : The mean salary is 20000

Alternative, H1 : The mean salary is not 20000

Using notation :

H0 : μ = 20000

H1 : μ ≠ 20000

Hence, alternative hypothesis is : H1 : μ ≠ 20000