As the principal of a private high school, you are interested in finding out how the training in mathematics at your school compares with that of the public schools in your area. For the last 5 years,...

As the principal of a private high school, you are interested in finding out how the training in mathematics at your school compares with that of the public schools in your area. For the last 5 years, the public schools have given all graduating seniors a mathematics proficiency test. The distribution has a mean of 78. You give all the graduating seniors in your school the same mathematics proficiency test. The results show a distribution of 41 scores, with a mean of 83 and a standard deviation of 12.2.

a. What is the alternative hypothesis? Use a no directional hypothesis.

b. What is the null hypothesis?

c. Using??
= 0.052 tail, what do you conclude?