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(a) Estimate the population standard deviation from the sample standard deviation. (b) Estimate the standard error of the mean for this finite population. (c) Construct a 98 percent confidence interval for the mean per-tree output of all 2,500 trees.

(a) Estimate the population standard deviation from the sample standard deviation. (b) Estimate the standard error of the mean for this finite population. (c) Construct a 98 percent confidence interval for the mean per-tree output of all 2,500 trees.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Neelesh Pant is the production manager for Citrus Groves Inc., located just north of Ranikhet, Uttarakhand. Neelesh is concerned that the last 3 years' late freezes have damaged the 2,500 orange trees that Citrus Groves owns. In order to determine the extent of damage to the trees, Neelesh has sampled the number of oranges produced per tree for 42 trees and found that the average production was 525 oranges per tree and the standard deviation was 30 oranges per tree. (a) Estimate the population standard deviation from the sample standard deviation. (b) Estimate the standard error of the mean for this finite population. (c) Construct a 98 percent confidence interval for the mean per-tree output of all 2,500 trees. (d) If the mean orange output per tree was 600 oranges 5 years ago, what can Neelesh say about the possible existence of damage now?
Transcribed Image Text:Neelesh Pant is the production manager for Citrus Groves Inc., located just north of Ranikhet, Uttarakhand. Neelesh is concerned that the last 3 years' late freezes have damaged the 2,500 orange trees that Citrus Groves owns. In order to determine the extent of damage to the trees, Neelesh has sampled the number of oranges produced per tree for 42 trees and found that the average production was 525 oranges per tree and the standard deviation was 30 oranges per tree. (a) Estimate the population standard deviation from the sample standard deviation. (b) Estimate the standard error of the mean for this finite population. (c) Construct a 98 percent confidence interval for the mean per-tree output of all 2,500 trees. (d) If the mean orange output per tree was 600 oranges 5 years ago, what can Neelesh say about the possible existence of damage now?
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