The mean gross annual incomes of certified tack welders are normally distributed with the mean of $50,000 and a standard deviation of $4,000. The ship building association wishes to find out whether their tack welders earn more or less than $50,000 annually. The alternate hypothesis is that the mean is not $50,000. Which of the following is the alternate hypothesis?
A) p $\neq$ $50,000
B) $\mu$ $\neq$ $50,000
C) $\mu$

Question

The mean gross annual incomes of certified tack welders are normally distributed with the mean of $50,000 and a standard deviation of $4,000. The ship building association wishes to find out whether their tack welders earn more or less than $50,000 annually. The alternate hypothesis is that the mean is not $50,000. Which of the following is the alternate hypothesis?
A) p $\neq$ $50,000
B) $\mu$ $\neq$ $50,000
C) $\mu$ < $50,000
D) $\mu$ = $50,000
E) p = $50,000

Quizplus · Accepted Answer

The alternate hypothesis should state that the mean is not equal to $50,000, which is represented by choice B: µ ≠ $50,000. Choice A incorrectly uses p instead of µ, while choices C and D only have one direction (less than or equal to or equal to, respectively). Choice E is not a valid hypothesis statement as it does not include a population parameter.

The Mean Gross Annual Incomes of Certified Tack Welders Are ≠\neq=

The Mean Gross Annual Incomes of Certified Tack Welders Are $\neq$