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 po 1 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 19.2 and 20.8, then the inspectors will be comvinced that the entire batch has an average weight of 20 kg. If not, they will conclude that u+ 20 kg. Click here to view. Raga 1 of the standard normal distribution table. Click here to view paga 2 of the standard nomal distribution table. 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 (a) The probability that inspectors will conclude that u= 20 when, in fact, u = 19 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, u= 20 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

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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 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 19.2 and 20.8, 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, µ = 19 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, µ= 20 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"
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 = 20 kg (with a standard deviation of 1 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 19.2 and 20.8, 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, µ = 19 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, µ= 20 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"
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