The mean annual tuition and fees for a sample of 11 private colleges was $34,100 with a standard deviation of $5400 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 $35,700.
State a conclusion regarding $H _ { 0 }$. Use the $\alpha = 0.10$ level of significance.
A) There is not enough information to draw a conclusion.
B) Do not reject $H _ { 0 }$.
There is insufficient evidence to conclude that the mean annual tuition and fees is different from $\$ 35,700$.
C) Reject $H _ { 0 }$. The mean annual tuition and fees appears to be different from $\$ 35,700$.

Question

Quizplus · Accepted Answer

Given the information, we do not have a calculated test statistic or p-value to directly compare against the significance level ($\alpha = 0.10$). However, the choice that aligns with the standard approach when specific statistical evidence (like a p-value) is not provided or when the evidence does not strongly support a difference, is to not reject the null hypothesis. This choice is consistent with maintaining a conservative stance in hypothesis testing when the evidence is not strong enough to support a claim of difference.

The Mean Annual Tuition and Fees for a Sample of 11