The amount of tea leaves in a can from a particular production line is normally distributed with μ = 110 grams and σ = 25 grams. A sample of 25 cans is to be selected.What are the mean and standard error for the sampling distribution of sample means?What is the probability that the sample mean will be between 100 and 120 grams? What is the probability that the sample mean will be less than 100 grams? What is the probability that the sample mean will be greater than 100 grams? So, the middle 70% of all sample means will fall between what two values?

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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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The amount of tea leaves in a can from a particular production line is normally distributed with μ = 110 grams and σ = 25 grams. A sample of 25 cans is to be selected.
1. What are the mean and standard error for the sampling distribution of sample means?
2. What is the probability that the sample mean will be between 100 and 120 grams?
3. What is the probability that the sample mean will be less than 100 grams?
4. What is the probability that the sample mean will be greater than 100 grams?
5. So, the middle 70% of all sample means will fall between what two values?

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