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3. Although most of us buy milk by the quart or gallon, farmers measure daily production in pounds. Ayrshire cows average 55 pounds of milk a day, with a standard deviation of 6 pounds. For Jersey cows, the mean daily production is 52 pounds, with a standard deviation of 5 pounds. Assume that Normal models describe milk production for these breeds. (a) We select an Ayrshire at random. What's the probability that she averages more than 58 pounds of milk a day? (b) What's the probability that a randomly selected Ayrshire gives more milk than a randomly selected Jersey? (c) A farmer has 20 Jerseys. What's the probability that the average production for this small herd exceeds 54 pounds of milk a day, assuming they can be treated as a random sample of all Jersey cows? (d) A neighboring farmer has 10 Ayrshires. What's the probability that his herd average is at least 5 pounds higher than the average for part (c)'s Jersey herd?

3. Although most of us buy milk by the quart or gallon, farmers measure daily production in pounds. Ayrshire cows average 55 pounds of milk a day, with a standard deviation of 6 pounds. For Jersey cows, the mean daily production is 52 pounds, with a standard deviation of 5 pounds. Assume that Normal models describe milk production for these breeds. (a) We select an Ayrshire at random. What's the probability that she averages more than 58 pounds of milk a day? (b) What's the probability that a randomly selected Ayrshire gives more milk than a randomly selected Jersey? (c) A farmer has 20 Jerseys. What's the probability that the average production for this small herd exceeds 54 pounds of milk a day, assuming they can be treated as a random sample of all Jersey cows? (d) A neighboring farmer has 10 Ayrshires. What's the probability that his herd average is at least 5 pounds higher than the average for part (c)'s Jersey herd?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 3CYU
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3. Although most of us buy milk by the quart or gallon, farmers measure daily production in pounds. Ayrshire cows average 55 pounds of milk a day, with a standard deviation of 6 pounds. For Jersey cows, the mean daily production is 52 pounds, with a standard deviation of 5 pounds. Assume that Normal models describe milk production for these breeds. (a) We select an Ayrshire at random. What's the probability that she averages more than 58 pounds of milk a day? (b) What's the probability that a randomly selected Ayrshire gives more milk than a randomly selected Jersey? (c) A farmer has 20 Jerseys. What's the probability that the average production for this small herd exceeds 54 pounds of milk a day, assuming they can be treated as a random sample of all Jersey cows? (d) A neighboring farmer has 10 Ayrshires. What's the probability that his herd average is at least 5 pounds higher than the average for part (c)'s Jersey herd?
Transcribed Image Text:3. Although most of us buy milk by the quart or gallon, farmers measure daily production in pounds. Ayrshire cows average 55 pounds of milk a day, with a standard deviation of 6 pounds. For Jersey cows, the mean daily production is 52 pounds, with a standard deviation of 5 pounds. Assume that Normal models describe milk production for these breeds. (a) We select an Ayrshire at random. What's the probability that she averages more than 58 pounds of milk a day? (b) What's the probability that a randomly selected Ayrshire gives more milk than a randomly selected Jersey? (c) A farmer has 20 Jerseys. What's the probability that the average production for this small herd exceeds 54 pounds of milk a day, assuming they can be treated as a random sample of all Jersey cows? (d) A neighboring farmer has 10 Ayrshires. What's the probability that his herd average is at least 5 pounds higher than the average for part (c)'s Jersey herd?
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