- #1
Mr Davis 97
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Homework Statement
State the null and alternative hypotheses.
The decision to implement changes in the current math program at a junior high will be based on a sample of students' scores on a standardized math exam. If the average is less than the statewide average of 89, all math teachers will have to participate in a workshop to revise the curriculum.
Homework Equations
None.
The Attempt at a Solution
Based on previous examples I've seen, I would write:
##\textrm{H}_{0}: \mu = 89##
##\textrm{H}_{a}: \mu < 89##
However, I have no idea why this would be correct or incorrect. Essentially, I want to know why this would be the correct answer (if it is). Since the problem is talking about a small subset of the population of junior high school students, I don't see how talking about mu (a population parameter) in this context would be correct. If the sample of students at the junior high school scored lower than 89 simply because they're not so smart (i.e. not due to random variation), why would we reject the null and conclude that the mu, which refers to the entire population, is lower based on that one sample? I don't understand.