A large batch of industrial products will be transferred with a cargo plane and they need to conform to a certain standard for their weights before being loaded. There is no possibility of weighing the whole batch but the products in the whole batch are expected to have an average weight of u = 22 kg (with a standard deviation of 0.8 kg) for this to be a safe logistics operation. The batch will be checked by repeatedly picking 4 products and calculating their average weight. If the sample average lies between 21.5 and 22.5, then the inspectors will be convinced that the entire batch has an average weight of 22 kg. If not, they will conclude that u# 22 kg. Click here to view page 1 of the standard normal distribution table, Click here to view page 2 of the standard normal distribution table, (a) The probability that inspectors will conclude that u = 22 when, in fact, u = 21.2 kg is O (Round to four decimal places including any zeros.) O A. This error is also called "Type Il error" O B. This error is also called "Type I error" (b) The probability that inspectors will conclude that u # 22 when, in fact, µ = 22 kg is (Round to four decimal places including any zeros.) O A. This error is also called "Type I error" O B. This error is also called "Type Il error"
A large batch of industrial products will be transferred with a cargo plane and they need to conform to a certain standard for their weights before being loaded. There is no possibility of weighing the whole batch but the products in the whole batch are expected to have an average weight of u = 22 kg (with a standard deviation of 0.8 kg) for this to be a safe logistics operation. The batch will be checked by repeatedly picking 4 products and calculating their average weight. If the sample average lies between 21.5 and 22.5, then the inspectors will be convinced that the entire batch has an average weight of 22 kg. If not, they will conclude that u# 22 kg. Click here to view page 1 of the standard normal distribution table, Click here to view page 2 of the standard normal distribution table, (a) The probability that inspectors will conclude that u = 22 when, in fact, u = 21.2 kg is O (Round to four decimal places including any zeros.) O A. This error is also called "Type Il error" O B. This error is also called "Type I error" (b) The probability that inspectors will conclude that u # 22 when, in fact, µ = 22 kg is (Round to four decimal places including any zeros.) O A. This error is also called "Type I error" O B. This error is also called "Type Il error"
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:A large batch of industrial products will be transferred with a cargo plane and they need to conform to a certain standard for their weights before being loaded. There is no possibility of weighing the whole batch but the products in the
whole batch are expected to have an average weight of u = 22 kg (with a standard deviation of 0.8 kg) for this to be a safe logistics operation. The batch will be checked by repeatedly picking 4 products and calculating their average
weight. If the sample average lies between 21.5 and 22.5, then the inspectors will be convinced that the entire batch has an average weight of 22 kg. If not, they will conclude that u 22 kg.
Click here to view page 1 of the standard normal distribution table,
Click here to view page 2 of the standard normal distribution table,
(a) The probability that inspectors will conclude that u= 22 when, in fact, µ = 21.2 kg is
(Round to four decimal places including any zeros.)
O A. This error is also called "Type Il error"
O B. This error is also called "Type I error"
(b) The probability that inspectors will conclude that u 22 when, in fact, µ= 22 kg is
(Round to four decimal places including any zeros.)
O A. This error is also called "Type I error"
O B. This error is also called "Type Il error"
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