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

See similar textbooks

Similar questions

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 a- 0.90 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is u= 4.70 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.70 grams? Use a- 0.05. (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? Ho: H 4.7 g; right-tailed Ho: H= 4.7 g; H: < 4.7 g; left-tailed Ho: H- 4.7 g; H: 4.7 g; two-tailed (b) What sampling distribution will you use? Explain the rationale…
Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of u 1.3 parts (a) through (c) below. a. If 1 male college student is randomly selected, find the probability that he gains between 0 kg and 3 kg during freshman year. The probability is (Round to four decimal places as needed.) b. If 16 male college students are randomly selected, find the probability that their mean weight gain during freshman year is between 0 kg and 3 kg. The probability is (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? OA. Since the weight gain exceeds 30, the distribution of sample means is a normal distribution for any sample size. OB. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. and a standard deviation of a 5.1 kg. Complete OC. Since the…
Need question d and e answers
New York is known as "the city that never sleeps." A random sample of 25 New Yorkers were asked how much sleep they get per night and the sample mean was 7.3 hours. To test if New Yorkers sleep less than 8 hours a night on average (Ho: u = 8 v.s. HA: u < 8, where u is the mean number of hours New Yorkers sleep a night), the P-value is (i) the probability of getting a random sample of 25 New Yorkers that on average sleep 7.3 hours a night, when New Yorkers actually sleep less than 8 hours per night on average. (ii) the probability of getting a random sample of 25 New Yorkers that on average sleep 7.3 hours or less a night, when New Yorkers actually sleep 8 hours per night on average. (iii) the probability that New Yorkers on average sleep 8 hours per night, given that the 25 randomly sampled New Yorkers on average sleep 7.3 hours a night (iv) the probability that New Yorkers on average sleep less than 8 hours per night, given that the 25 randomly sampled New Yorkers on average sleep 7.3…
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…
Suppose the horses in a large stable have a mean weight of 818 lbs, and a variance of 3481. What is the probability that the mean weight of the sample of horses would differ from the population mean by less than 18 lbs if 34 horses are sampled at random from the stable? 0.920 0.925 0.912 O 0.945 None of these t
2.6
1

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS

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