A professor who teaches a section of an English course required of all first-year students suspects that students who attended private high schools are better prepared in English than students who attended public high schools. The professor decides to test their hypothesis concerning English preparedness using a class of 72 students.

Private School	Public School
=85	=82
s=6	s=8
N=22	N=50

Test the null hypothesis that there is no difference in English preparedness between students who attended private schools and public schools using the information provided above.

Question 1:

State assumptions.

State the statistical hypothesis (null and research).

Select sampling distribution, degrees of freedom, and critical value.

Calculate the test statistic.

Decide if result is significant.

Interpret the result.

Question 2.

Construct a 95% confidence interval for the population mean.

Interpret what the confidence interval means.