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14. The College Board reports that the mean SAT score in Ohio in 2017 was 1149...

14. The College Board reports that the mean SAT score in Ohio in 2017 was 1149 with standard deviation 212. The scores are normally distributed. Calculate the following. (You may use a table or a calculator. State which method you are using.)

a. Find the corresponding z-score for an SAT score of 1300. Explain what this z-score means.

b. Find the probability that a randomly selected test taker scores higher than 1300.

c. Find the probability that a randomly selected test taker scores between 1000 and 1300. Interpret your answer in the context of the problem.

Math   Statistics-And-Probability   
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