Question

**SAT scores:** The mean mathematics SAT score was 550, and the standard deviation was 124. A

sample of 69 scores is chosen.

Part 1 of 5

(a) What is the probability that the sample mean score is less than 533? Round the answer to at least four decimal places.

The probability that the sample mean score is less than 533 is _____.

Part 2 of 5

(b) What is the probability that the sample mean score is between 525 and 553? Round the answer to at least four decimal places.

The probability that the sample mean score is between 525 and 553 is __

Part 3 of 5

(c) Find the 55th percentile of the sample mean. Round the answer to at least two decimal places

The 55th percentile of the sample mean is ___.

Part 4 of 5

(d) Would it be unusual if the sample mean were greater than 573? Round the answer to at least four decimal places.

It ___ be unusual if the sample mean were greater than 573, since the probability is ____

Part 5 of 5

(e) Do you think it would be unusual for an individual to get a score greater than 573? Explain. Assume the variable is normally distributed. Round the answer to at least four decimal places.

It _____ be be unusual if the sample mean were greater than 573, since the probability is ____

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These question can be solved by using a... View the full answer

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p ( 5 2 5 < x < 5 5 3 ) = 0 . 0 8 7 3 P (... View the full answer