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Example: It is known that the weights of products packed with automatic machines have a normal distribution with an mean of 100 grams and a standard deviation of 3 grams. Since the settings of the machines cannot be made, it is observed that the products are packaged lighter or heavier than 100 grams. The mean of a sample of 25 randomly taken for control purposes was found to be x = 101.9 grams. So, how can it be decided at the 0.05 significance level whether the claim on the weights of the products is true?

Example: It is known that the weights of products packed with automatic machines have a normal distribution with an mean of 100 grams and a standard deviation of 3 grams. Since the settings of the machines cannot be made, it is observed that the products are packaged lighter or heavier than 100 grams. The mean of a sample of 25 randomly taken for control purposes was found to be x = 101.9 grams. So, how can it be decided at the 0.05 significance level whether the claim on the weights of the products is true?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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• Example: It is known that the weights of products packed with automatic machines have a normal distribution with an mean of 100 grams and a standard deviation of 3 grams. Since the settings of the machines cannot be made, it is observed that the products are packaged lighter or heavier than 100 grams. • The mean of a sample of 25 randomly taken for control purposes was found to be x = 101.9 grams. So, how can it be decided at the 0.05 significance level whether the claim on the weights of the products is true?
Transcribed Image Text:• Example: It is known that the weights of products packed with automatic machines have a normal distribution with an mean of 100 grams and a standard deviation of 3 grams. Since the settings of the machines cannot be made, it is observed that the products are packaged lighter or heavier than 100 grams. • The mean of a sample of 25 randomly taken for control purposes was found to be x = 101.9 grams. So, how can it be decided at the 0.05 significance level whether the claim on the weights of the products is true?
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