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6 Online W2018> Assessment al Curve and The Central Limit Theorem Timelimit: 2 h

ID: 3050270 • Letter: 6

Question

6 Online W2018> Assessment al Curve and The Central Limit Theorem Timelimit: 2 hours. 1 Sh The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 39 liters, and standard deviation of 3.8 liters. A) What is the probability that daily production is less than 32.2 liters? Use technology (not tables) to get your probability Round your answer to 4 decimal places.) B) What is the probability that daily production is more than 49.2 liters? Use technology (not tables) to get your probability. Round your answer to 4 decimal places.) Warning Do not use the Z Normal Tables...they may not be accurate enough since WAMAP may look for more accuracy than comes from the table Points possible: 5 This is attempt 1 of 2. Submit nt docx ^ worksheetforcent docx worksheetforcent docx ^

Explanation / Answer

R codes provided for each subpart :

a)> pnorm(32.2,39,3.8,lower.tail=T) #lower.tail=T for cumulative distribution function
[1] 0.03676928


b) > pnorm(49.2,39,3.8,lower.tail=F) #lower.tail=F for probability greater than a particular value
[1] 0.003635066

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