Question 3 A fruit farmer has a large number of almond trees, all of the same variety and the same age. One year he wishes to estimate the mean yield of his trees. He collects all the almonds from 8 trees and records the following weights (kg); 36 53 78 67 92 77 59 66 a) Use these data to estimate the mean and standard deviation of the yields of all the farmer's trees. b) Construct a 95% confidence interval for the mean yield. c) What statistical assumption is required for your procedure to be valid? d) How might you select a sample of eight trees from those growing in a large field.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Question 3
A fruit farmer has a large number of almond trees, all of the same variety and the same age. One year he
wishes to estimate the mean yield of his trees. He collects all the almonds from 8 trees and records the
following weights (kg); 36 53 78 67 92 77 59 66
a) Use these data to estimate the mean and standard deviation of the yields of all the farmer's trees.
b) Construct a 95% confidence interval for the mean yield.
c) What statistical assumption is required for your procedure to be valid?
d) How might you select a sample of eight trees from those growing in a large field.
Criteria [2.1, 2.2, 2.3]
Transcribed Image Text:Question 3 A fruit farmer has a large number of almond trees, all of the same variety and the same age. One year he wishes to estimate the mean yield of his trees. He collects all the almonds from 8 trees and records the following weights (kg); 36 53 78 67 92 77 59 66 a) Use these data to estimate the mean and standard deviation of the yields of all the farmer's trees. b) Construct a 95% confidence interval for the mean yield. c) What statistical assumption is required for your procedure to be valid? d) How might you select a sample of eight trees from those growing in a large field. Criteria [2.1, 2.2, 2.3]
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