A shipment of 1000 sacks of oranges arrives at a distribution centre in Edinburgh, one of 10 such facilities in Scotland. The sender quotes a nominal weight of 20 kg and a standard deviation of no more than 2000 g per sack. A random sample of 10 sacks is selected and weighed, giving a mean of = 20.77 kg and variance S² = 4.85 kg². Throughout this exercise you should assume a Gaussian model for the data. (c) The vendor claims that the standard deviation in the weight of the sacks is less than 2 kg. Construct an appropriate confidence interval at confidence level 1-α = 0.95 for the variance and test the vendor's claim.
A shipment of 1000 sacks of oranges arrives at a distribution centre in Edinburgh, one of 10 such facilities in Scotland. The sender quotes a nominal weight of 20 kg and a standard deviation of no more than 2000 g per sack. A random sample of 10 sacks is selected and weighed, giving a mean of = 20.77 kg and variance S² = 4.85 kg². Throughout this exercise you should assume a Gaussian model for the data. (c) The vendor claims that the standard deviation in the weight of the sacks is less than 2 kg. Construct an appropriate confidence interval at confidence level 1-α = 0.95 for the variance and test the vendor's claim.
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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2021B1c
Transcribed Image Text:A shipment of 1000 sacks of oranges arrives at a distribution centre in Edinburgh, one of
10 such facilities in Scotland. The sender quotes a nominal weight of 20 kg and a standard
deviation of no more than 2000 g per sack. A random sample of 10 sacks is selected and
weighed, giving a mean of = 20.77 kg and variance S² = 4.85 kg². Throughout this
exercise you should assume a Gaussian model for the data.
(c) The vendor claims that the standard deviation in the weight of the sacks is less than
2 kg. Construct an appropriate confidence interval at confidence level 1-α = 0.95 for
the variance and test the vendor's claim.
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