[Solution Library] A school board is considering implementing a new literacy program to help improve their students’ literacy skills. As a first step, they


Question: A school board is considering implementing a new literacy program to help improve their students’ literacy skills. As a first step, they administer a literacy 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. Suppose that classes with mean scores above 100 on this test are considered to be meeting provincial standards. What is the probability that a group of 25 Grade 3-6 students that are randomly selected from this school board will have a mean literacy test score above 100? Be sure to show your work.

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