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Based on the performance of all individuals who tested between July

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Based on the performance of all individuals who tested between July
1, 2013 and June 30, 2016, the GRE Verbal Reasoning scores are normally distributed with a mean of 149.97 and a standard deviation of 8.49. (https://www.ets.org/s/gre/pdf/gre_guide_table1a.pdf).

(a) For a sample of size 64, state the standard deviation of the sample mean (the “standard error of the mean”). (Round the answer to three decimal places)
(b) Suppose a sample of size 64 is taken. Find the probability that the sample mean GRE Verbal Reasoning scores is more than 152. (Round the answer to three decimal places)

 
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