6) Assume that in 2018 the mean mathematics SAT score was 524 and the standard deviation was 117. A sample of 68 scores is chosen. a) What is the sampling distribution of X, the sample mean? b) What is the probability the sample mean score is less than 512?

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Chapter0: Preparing For Algebra
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Round all probabilities to four decimal places
6) Assume that in 2018 the mean mathematics SAT score was 524 and the standard deviation was 117. A
sample of 68 scores is chosen.
a) What is the sampling distribution of X, the sample mean?
b) What is the probability the sample mean score is less than 512?
c) What is the probability the sample mean score is between 485 and 529?
d) What is the probability the sample mean score is greater than 480?
e) Would it be unusual for the sample mean to be greater than 575?
Why? Show work to prove
your answer.
Transcribed Image Text:6) Assume that in 2018 the mean mathematics SAT score was 524 and the standard deviation was 117. A sample of 68 scores is chosen. a) What is the sampling distribution of X, the sample mean? b) What is the probability the sample mean score is less than 512? c) What is the probability the sample mean score is between 485 and 529? d) What is the probability the sample mean score is greater than 480? e) Would it be unusual for the sample mean to be greater than 575? Why? Show work to prove your answer.
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