Calculate the average student score necessary for the district to retain its federal funding. You may assume that the Standard Deviation will not change. This will require some thought. Think of the z score. You will be solving for mu (average test scores in the next school year. You know the standard deviation (because we assume that the variation in test scores stays approximately the same across the year. You also know that 70% of students mus meet the cut off scores.
Information we know last year only 49% of the students at the high school met the cut off score of 70%.
51% of the students did not meet the cut off score of 70%.
You are determining what average of test scores is needed in the next year to retain funding. Fill in the z score that you fin in the table in your z formula and solve for mu.