The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures the motivation, attitudes toward school, and study habits of students. Scores range from 0 to 200. The mean score for U.S. college students is about 115, and standard deviation is about 30. A teacher will give the SSHA to 36 students, a. What is the probability that the mean score of 36 students is greater than 120? b. What is the probability that the mean score of 36 students is between 110 and 125?

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The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures the motivation, attitudes toward school, and study habits of students. Scores range from 0 to 200. The mean score for U.S. college students is about 115, and standard deviation is about 30. A teacher will give the SSHA to 36 students,
a. What is the probability that the mean score of 36 students is greater than 120?
b. What is the probability that the mean score of 36 students is between 110 and 125? 
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