The weights of the oranges at an orchard are normally distributed with mean 14.4 oz and standard deviation 1.8 oz. Answer all parts to two decimal places. (a) Suppose you pick an orange at random from this orchard. What is the chance that it weighs between 10 oz and 15 oz? (b) What is the cutoff for the heaviest 10% of oranges in this orchard? (c) If you were to take a simple random sample of 25 oranges from this orchard, what would be the standard deviation of the sample mean?

The weights of the oranges at an orchard are normally distributed with mean 14.4 oz and standard deviation 1.8 oz. Answer all parts to two decimal places. (a) Suppose you pick an orange at random from this orchard. What is the chance that it weighs between 10 oz and 15 oz? (b) What is the cutoff for the heaviest 10% of oranges in this orchard? (c) If you were to take a simple random sample of 25 oranges from this orchard, what would be the standard deviation of the sample mean?

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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Estimation

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Question

The weights of the oranges at an orchard are normally distributed with mean 14.4 oz and standard deviation 1.8 oz. Answer all parts to two decimal places.
(a) Suppose you pick an orange at random from this orchard. What is the chance that it weighs between 10 oz and 15 oz?
(b) What is the cutoff for the heaviest 10% of oranges in this orchard?
(c) If you were to take a simple random sample of 25 oranges from this orchard, what would be the standard deviation of the sample mean?
(d) If you were to take a simple random sample of 3 oranges from this orchard, what is the probability that they all weigh more than 15 oz?
(e) If you were to take a simple random sample of 4 oranges from this orchard, what is the probability that their average weight is less than 13.5 oz?

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