The standard deviation of monthly rents paid by students in a particular city is assumed to be $ 60. a) If a random sample of 150 students is taken, what is the probability that the sample mean is at least $ 8 higher than the population mean?  b) If a random sample of 150 students is taken, what is the probability that the sample mean is at least $ 6 lower than the population mean? c) What should the sample size be so that the probability that the differ

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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The standard deviation of monthly rents paid by students in a particular city is assumed to be $ 60.

a) If a random sample of 150 students is taken, what is the probability that the sample mean is at least $ 8 higher than the population mean? 

b) If a random sample of 150 students is taken, what is the probability that the sample mean is at least $ 6 lower than the population mean?

c) What should the sample size be so that the probability that the difference between the sample mean and the population mean (negative and positive total) is less than 0.01 $?

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