In: Statistics and Probability
The question that we would like to answer is “Do students who learn English and another language simultaneously score worse on the SAT Critical Reading Test? The mean score of the general population among all test takers is 501. A random sample of 100 test takers who have learned English and another language simultaneously had a mean score of 485, with a standard deviation of 116. Do the results suggest that the simultaneous learners score worse on the SAT Critical Reading Test?
a) State the null and alternate hypotheses.
b) Perform a test using t-distribution. Show the results
c) At .1 level of significance test your hypotheses and state your conclusion.