Farmer McGregor is now growing carrots in a field. He is particularly interested in theweight 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 randomsample 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 lessthan 5 g with a probability of 0.95?

Given information: μ=200σ2=400⇒σ=20n=16 plants 1) The probability that the mean of a random sample…

Answered: Farmer McGregor is now growing carrots…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).t Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows. 3.7 2.9 3.8 4.2 4.8 3.1 The sample mean is x = 3.75 grams. Let x be a random variable representing weights of hummingbirds in this part of the Grand Canyon. We assume that x has a normal distribution and o = 0.96 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is µ = 4.80 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.80 grams? Use a = 0.10. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right- tailed, or two-tailed test? O Ho: H 4.8 g; right-tailed O Ho: H = 4.8 g; H1: µ < 4.8 g; left-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of…
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2.6
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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