Assume the SAT English scores are normally distributed with a mean of 500 and a standard deviation o

Assume the SAT English scores are normally distributed with a mean of 500 and a standard deviation of 100 Show all work

(a) Consider all random samples of 100 test scores What is the standard deviation of the sample means? (Round your answer to three decimal places)

(b) What is the probability that 100 randomly selected test scores will have a mean test score that is between 490 and 520? (Round your answer to four decimal places)

 

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