A school administrator wonders if students whose first language is not english score differently on the math portion of the sat exam than students whose first language is english. The mean sat math score of students whose first language is english is 516 on the basis of data obtained from the college board. A simple random sample of 20 students whose first language is not english result in a sample mean sat math score of 522. Sat math score are normally distributed with a population standard deviation of 114.
a. why is it necessary for sat math scores to be normally distributed to test the hypothesis using the method of this section
b. determine the appropriate null and alternative hypotheses to assess weather students whose first language is not english score differently on the math portion of the sat exam.
c. use the classical or p-value approach at the a = 0.1 level of significance to test the hypothesis in part b.