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3. The weight of in 1.25 pounds. You catch a random sample of 36 fish and compute their mean weight. (a) What are the values of the mean and the standard error of the mean for this sar distribution of the mean? (b) What is the probability that the sample mean falls between 5.3 and 5.6 pounds (c) Find a weight such that the probability that the sample mean falls above it is (d) What is the probability that the sample mean is less than 4.5 pounds? (e) Find two weights symmetric about the mean such that the probability that the mean falls between them is 90%. (f) Why are we justified in assuming that the sampling distribution of the mean distributed in this problem?

3. The weight of in 1.25 pounds. You catch a random sample of 36 fish and compute their mean weight. (a) What are the values of the mean and the standard error of the mean for this sar distribution of the mean? (b) What is the probability that the sample mean falls between 5.3 and 5.6 pounds (c) Find a weight such that the probability that the sample mean falls above it is (d) What is the probability that the sample mean is less than 4.5 pounds? (e) Find two weights symmetric about the mean such that the probability that the mean falls between them is 90%. (f) Why are we justified in assuming that the sampling distribution of the mean distributed in this problem?

MATLAB: An Introduction with Applications
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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3. The weight of fish in Baggins Creek have a mean of 5 pounds and a standard deviation of 1.25 pounds. You catch a random sample of 36 fish and compute their mean weight. (a) What are the values of the mean and the standard error of the mean for this sampling distribution of the mean? (b) What is the probability that the sample mean falls between 5.3 and 5.6 pounds? (c) Find a weight such that the probability that the sample mean falls above it is 30%. (d) What is the probability that the sample mean is less than 4.5 pounds? (e) Find two weights symmetric about the mean such that the probability that the sample mean falls between them is 90%. (f) Why are we justified in assuming that the sampling distribution of the mean will be normally distributed in this problem?
Transcribed Image Text:3. The weight of fish in Baggins Creek have a mean of 5 pounds and a standard deviation of 1.25 pounds. You catch a random sample of 36 fish and compute their mean weight. (a) What are the values of the mean and the standard error of the mean for this sampling distribution of the mean? (b) What is the probability that the sample mean falls between 5.3 and 5.6 pounds? (c) Find a weight such that the probability that the sample mean falls above it is 30%. (d) What is the probability that the sample mean is less than 4.5 pounds? (e) Find two weights symmetric about the mean such that the probability that the sample mean falls between them is 90%. (f) Why are we justified in assuming that the sampling distribution of the mean will be normally distributed in this problem?
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