The mean annual tuition and fees for a sample of 12 private colleges was $27,900 with a standard deviation of $4400. A dotplot shows that it is reasonable to assume that the
Population is approximately normal. You wish to test whether the mean tuition and fees
For private colleges is different from $31,500.
State the null and alternate hypotheses.
A) $H _ { 0 } : \mu \neq 31,500 , H _ { 1 } : \mu = 31,500$
B) $H _ { 0 } : \mu = 31,500 , H _ { 1 } : \mu = 27,900$
C) $H _ { 0 } : \mu = 27,900 , H _ { 1 } : \mu \neq 27,900$
D) $H _ { 0 } : \mu = 31,500 , H _ { 1 } : \mu \neq 31,500$

Question

The mean annual tuition and fees for a sample of 12 private colleges was $27,900 with a standard deviation of $4400. A dotplot shows that it is reasonable to assume that the
Population is approximately normal. You wish to test whether the mean tuition and fees
For private colleges is different from $31,500.
State the null and alternate hypotheses. 
A) $H _ { 0 } : \mu \neq 31,500 , H _ { 1 } : \mu = 31,500$
B) $H _ { 0 } : \mu = 31,500 , H _ { 1 } : \mu = 27,900$
C) $H _ { 0 } : \mu = 27,900 , H _ { 1 } : \mu \neq 27,900$
D) $H _ { 0 } : \mu = 31,500 , H _ { 1 } : \mu \neq 31,500$

Quizplus · Accepted Answer

The null hypothesis always states that there is no effect or no difference, and it is usually formulated as an equality. In this case, it states that the mean tuition and fees for private colleges are equal to $31,500 ($H_0: \mu = 31,500$). The alternative hypothesis is what you are trying to prove and is usually formulated as an inequality if you are testing for a difference. Here, it suggests that the mean tuition and fees for private colleges are not equal to $31,500 ($H_1: \mu \neq 31,500$).

The Mean Annual Tuition and Fees for a Sample of 12