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In: Statistics and Probability

The SAT test scores have an average value of 1200 with a standard deviation of 100....

The SAT test scores have an average value of 1200 with a standard deviation of 100. A random sample of 35 scores is selected for the study.

A) What are the shape, mean(expected value) and standard deviation of the sampling distribution of the sample mean for samples of size 35?

B) What is the probability that the sample mean will be larger than 1235?

C) What is the probability that the sample mean will fall within 25 points of the population mean?

D) What is the probability that the sample mean will be less than 1180?

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