The mean annual tuition and fees for a sample of 15 private colleges was $35,500 with a standard deviation of $6500. 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 $32,500.
State the null and alternate hypotheses.
A) $H _ { 0 } : \mu = 32,500 , H _ { 1 } : \mu = 35,500$
B) $H _ { 0 } : \mu \neq 32,500 , H _ { 1 } : \mu = 32,500$
C) $H _ { 0 } : \mu = 32,500 , H _ { 1 } : \mu \neq 32,500$
D) $H _ { 0 } : \mu = 35,500 , H _ { 1 } : \mu \neq 35,500$

Question

The mean annual tuition and fees for a sample of 15 private colleges was $35,500 with a standard deviation of $6500. 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 $32,500.
 State the null and alternate hypotheses.
A) $H _ { 0 } : \mu = 32,500 , H _ { 1 } : \mu = 35,500$
B) $H _ { 0 } : \mu \neq 32,500 , H _ { 1 } : \mu = 32,500$
C) $H _ { 0 } : \mu = 32,500 , H _ { 1 } : \mu \neq 32,500$
D) $H _ { 0 } : \mu = 35,500 , H _ { 1 } : \mu \neq 35,500$

Quizplus · Accepted Answer

The null hypothesis always specifies a single value (in this case, $32,500) that the parameter is claimed to be, and the alternative hypothesis states what we are trying to find evidence for, which in this case is that the mean is different from $32,500 (not equal to, hence $\mu \neq 32,500$).

The Mean Annual Tuition and Fees for a Sample of 15