Farmer McGregor is now growing carrots in a field. He is particularly interested in veight of his plants at harvesting. Let X denote the weight (g) of a carrot in McGregor's fie Assume X N(200, 400). 1) The farmer has randomly sampled 16 plants. What is the probability that the mean of a rand

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
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Farmer McGregor is now growing carrots in a field. He is particularly interested in the
weight of his plants at harvesting. Let X denote the weight (g) of a carrot in McGregor's field.
Assume X - N(200, 400).
(1) The farmer has randomly sampled 16 plants. What is the probability that the mean of a random
sample of that size differs from the population mean by less than 10 g?
Transcribed Image Text:Farmer McGregor is now growing carrots in a field. He is particularly interested in the weight of his plants at harvesting. Let X denote the weight (g) of a carrot in McGregor's field. Assume X - N(200, 400). (1) The farmer has randomly sampled 16 plants. What is the probability that the mean of a random sample of that size differs from the population mean by less than 10 g?
(2) What is the sample size required for the sample mean to differ from the population mean by less
than 5 g with a probability of 0.95?
Transcribed Image Text:(2) What is the sample size required for the sample mean to differ from the population mean by less than 5 g with a probability of 0.95?
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