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  2. Let’s assume that nationwide individual scores follow a Normal Distribution with the mean of 1100 and a standard deviation of 150. What percentage of individual students would you expect to get a score of 1150 or higher?

Let’s assume that nationwide individual scores follow a Normal Distribution with the mean of 1100 and a standard deviation of 150. What percentage of individual students would you expect to get a score of 1150 or higher?

For a study, 5 high school seniors’ names are chosen in a random drawing. Their SAT scores are: 1100, 1200, 900, 1250 and 950.
Mean is 1080
Standard deviation is 136.38
Answer the questions below:

Question #1: Let’s assume that nationwide individual scores follow a Normal Distribution with the mean of 1100 and a standard deviation of 150. What percentage of individual students would you expect to get a score of 1150 or higher?

Question #2: Let’s say that we sample 35 students from another school which is your typical American school (same individual mean and standard deviation as d above). If we were to take the average of the 35 students’ scores, what is the probability that their average would be higher than 1150?


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