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. Which of the following is the alternate hypothesis?
A) $\pi$ $\neq$ $20,000
B) µ $\neq$ $20,000
C) µ

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. Which of the following is the alternate hypothesis?
A) $\pi$ $\neq$ $20,000
B) µ $\neq$ $20,000
C) µ < $20,000
D) µ = $20,000

Quizplus · Accepted Answer

The alternate hypothesis is always the opposite of the null hypothesis, which in this case is that the mean is not $20,000. Option B correctly represents this. Option A represents a null hypothesis that the mean gross annual income is $20,000, which is incorrect. Option C represents a one-tailed test, which is not specified in the question. Option D represents the null hypothesis and not the alternate hypothesis.

The Mean Gross Annual Incomes of Certified Welders Are Normally π\piπ

The Mean Gross Annual Incomes of Certified Welders Are Normally $\pi$