Suppose you are applying to this law school, and you read about an experiment for a new LSAT test-preparation course. Two hundred students participated. Of these, 100 were randomly chosen to take the course. They got an average score of 166 points, with an SD of 17 points. The other 100 students did not take the course and studied on their own. They got an average score of 165 points, with an SD of 18 points. Calculate the two-sample z test statistic and p-value for the null hypothesis that the course does not affect scores.
2. A law school releases admissions data from past years. The
for accepted students was 167. (Scores on the LSAT
first and third
respectively.
(a) Roughly sketch a histogram for what the LSAT scores for accepted students might
look like based on the information given.
(b) Suppose you are applying to this law school, and you read about an experiment for a
new LSAT test-preparation course. Two hundred students participated. Of these, 100
were randomly chosen to take the course. They got an average score of 166 points, with
an SD of 17 points. The other 100 students did not take the course and studied on their
own. They got an average score of 165 points, with an SD of 18 points. Calculate the
two-sample z test statistic and p-value for the null hypothesis that the course does not
affect scores.
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