Posted by please help on Saturday, March 16, 2013 at 12:15am.
A score of 243 is a "basic" reading level.
Scores for a random sample of 3000 students had a xbar = 250 with a standard error 1.0
The 99% confidence interval for the mean score all students in the city is 247.4 to 252.6.
Ques: Is there good evidence that the mean for all students in the city is less than the basic level?
Ans: 243 is not in the 99% confidence level. It is below.
The answer in the back of the book says:"we would fail to reject Ho: u=243 against the onesided alternative hypothesis Ha: u (less than) 243 at the 1% significance level."
I do not understand the book answer "we would fail to reject..."
Does this mean there IS good evidence that the mean is less than the basic level? or NOT?

math  PsyDAG, Saturday, March 16, 2013 at 2:40pm
Ho: µ = 243
Ha: µ < 243
I would definitely reject Ha. But since we have only two hypotheses, that would leave me to "fail to reject" Ho. However, I would rather accept Ha: µ > 243, but that was not an included hypothesis.
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