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2RelativeResourceManager

# 2RelativeResourceManager - Review Problems for Test 2 Extra...

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Review Problems for Test 2 Extra problems 1. The average time it takes to take test 1 is 25 minutes with a standard deviation of 12 minutes. The time it takes to take test 1 is known to be normally distributed. a. Describe this distribution. X~N(25, 12)minutes b. What is the probability a randomly selected student will take less than 27 minutes to take test 1? i. What is the random variable? X= The average time it takes to take test 1 ii. Describe this distribution. X~N(25, 12)minutes iii. Can the probability be found? Yes iv. If the probability can be found, what is it? 27 25 ( 27) ( ) 12 ( 27) ( 0.17) ( 27) 0.5675 P X P Z P X P Z P X c. If a random sample of 9 students is selected, what is the probability that the mean time to take test 1 for these 9 students is less than 27 minutes? i. What is the random variable? mean time to take test 1 for these 9 students X ii. Describe this distribution. 12 (25, ) 9 X N iii. Can the probability be found? Yes iv. If the probability can be found, what is it?

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