a) Turkey is the most tea-loving country in the world. In 2014, the annual per capita consumption of tea in Turkey, denoted X, was normally distributed with a mean of 6:96 lb and a standard deviation of 2:36 lb. b)You pick a random sample of 5 people from Turkey (assume all of them are tea drinkers) and compute their mean per capita tea consumption to be only 3:98 lb. (i) What is the probability that her random sample has an average of 3:98 lb or lower, when the population average is as given above? (ii)Recall that a large sample size makes it unlikely thatthe sample mean is too far away from the population mean. How big a samele should you have to draw so that the standard deviation of your sample average is less than 10% of its mean (i.e., less than 0.696 lb)?

a) Turkey is the most tea-loving country in the world. In 2014, the annual per capita consumption of tea in Turkey, denoted X, was normally distributed with a mean of 6:96 lb and a standard deviation of 2:36 lb. b)You pick a random sample of 5 people from Turkey (assume all of them are tea drinkers) and compute their mean per capita tea consumption to be only 3:98 lb. (i) What is the probability that her random sample has an average of 3:98 lb or lower, when the population average is as given above? (ii)Recall that a large sample size makes it unlikely thatthe sample mean is too far away from the population mean. How big a samele should you have to draw so that the standard deviation of your sample average is less than 10% of its mean (i.e., less than 0.696 lb)?

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....

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