Question: A school board is considering creating a new mathematics program to help improve their students' math skills. As a first step, they wish to find out how their students' math skills compare to provincial standards. So, they administer a math test with all their Grades 3-6 students and discover that the distribution of scores is approximately normally distributed with mean 105 and standard deviation 15 .

1. The minimum provincial standard for this math skills test for Grades 3-6 students is 70 . Approximately what percentage of students in the district do not meet this provincial standard?
2. The school board has the resources to offer the new math program to the 10% of their students who scored lowest on the literacy test. What score will represent the eligibility cut-off score for this new math program in the school district?

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