Question Help ▼ 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 = 20 kg (with a standard deviation of 1.5 kg) for this to be a safe logistics operation. The batch will be checked by repeatedly picking 9 products and calculating their average weight If the sample average lies between 18.8 and 21.2, then the inspectors will be convinced that the entire batch has an average weight of 20 kg. If not, they will conclude that u 20 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 = 20 when, in fact, u = 18.5 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 II error" (b) The probability that inspectors will conclude that u 20 when, (Round to four decimal places including any zeros.) fact, u= 20 kg is O A. This error is also called "Type I error" O B. This error is also called "Type |l error"

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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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 = 20 kg (with a standard deviation of 1.5 kg)
for this to be a safe logistics operation. The batch will be checked by repeatedly picking 9 products and calculating their average weight. If the sample average lies
between 18.8 and 21.2, then the inspectors will be convinced that the entire batch has an average weight of 20 kg. If not, they will conclude that u 20 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= 20 when, in fact, u = 18.5 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"
(b) The probability that inspectors will conclude that u # 20 when, in fact, p= 20 kg is
(Round to four decimal places including any zeros.)
A. This error is also called "Type I error"
B. This error is also called "Type II error"
CO
Click to select your answer(s) and then click Check Answer.
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Transcribed Image Text:Instructor-created question Question Help ▼ 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 = 20 kg (with a standard deviation of 1.5 kg) for this to be a safe logistics operation. The batch will be checked by repeatedly picking 9 products and calculating their average weight. If the sample average lies between 18.8 and 21.2, then the inspectors will be convinced that the entire batch has an average weight of 20 kg. If not, they will conclude that u 20 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= 20 when, in fact, u = 18.5 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" (b) The probability that inspectors will conclude that u # 20 when, in fact, p= 20 kg is (Round to four decimal places including any zeros.) A. This error is also called "Type I error" B. This error is also called "Type II error" CO Click to select your answer(s) and then click Check Answer. All parts showing Clear Al
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