Suppose the average annual consumption of milk in Zambia is 23.4 gallons per person with a standard deviation of 7.1 gallons per person. (i) If a random sample of 40 Zambians is selected, what is the probability that their average milk consumption is less than 25 gallons per person annually? (ii) If a random sample of 40 Zambian citizens is selected, what is the probability that their average milk consumption is between 21 and 22 gallons of milk per person annually? (iii) If a random sample of 60 Zambian citizens is selected, what is the probability that their average milk consumption is more than 23 gallons of milk per person annually?

A First Course in Probability (10th Edition)
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Suppose the average annual consumption of milk in Zambia is 23.4 gallons per person with a standard deviation of 7.1 gallons per person.
(i) If a random sample of 40 Zambians is selected, what is the probability that their average milk consumption is less than 25 gallons per person annually?
(ii) If a random sample of 40 Zambian citizens is selected, what is the probability that their average milk consumption is between 21 and 22 gallons of milk per person annually?
(iii) If a random sample of 60 Zambian citizens is selected, what is the probability that their average milk consumption is more than 23 gallons of milk per person annually?
mean is 20.6 gallons per person, how likely is it that the true population mean is still 23.4 gallons per person? 

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