Mathematics, 13.05.2021 01:00 Dweath50
Suppose we want to assess the effect of a one-day SAT prep class at a 5% level of significance. Scores on the SAT writing exam can range from 200 to 800. A random sample of 50 students takes the SAT writing test before and after a prep class. We test the hypotheses:
0
H
0
:
=0
μ
=
0
H
a
:
>0
μ
>
0
where
μ
is the mean of the difference in SAT writing scores (after minus before) for all students who take the SAT prep class.
The sample mean is 5 with a standard deviation of 18. Since the sample size is large, we are able to conduct the T-Test. The T-test statistic is approximately 1.96 with a P-value of approximately 0.028.
What can we conclude?
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