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2) Type I and Type II Errors A tire manufacturer claims that their tires have an average lifetime of 50,000 miles. An independent testing agency purchases 10 tires and tests their lifespans. H₁ μ = 50,000 H₁ μ 50,000 Critical region: X > 52,500, X < 47,500 a) The test engineer finds a sample mean of 48k, while the true value of u is 49k. How would the conclusion be categorized? Type I error Type I error Type II error b) The test engineer finds a sample mean of 46k, while the true value of μ is 48k. How would the conclusion be categorized? Type I error Type II error Correct conclusion Correct conclusion c) The test engineer finds a sample mean of 53k, while the true value of μ is 50k. How would the conclusion be categorized? Type I error Type II error Type II error 47.5k Correct conclusion d) The test engineer finds a sample mean of 51k, while the true value of u is 50k. How would the conclusion be categorized? Correct conclusion 50k 52.5k 2

2) Type I and Type II Errors A tire manufacturer claims that their tires have an average lifetime of 50,000 miles. An independent testing agency purchases 10 tires and tests their lifespans. H₁ μ = 50,000 H₁ μ 50,000 Critical region: X > 52,500, X < 47,500 a) The test engineer finds a sample mean of 48k, while the true value of u is 49k. How would the conclusion be categorized? Type I error Type I error Type II error b) The test engineer finds a sample mean of 46k, while the true value of μ is 48k. How would the conclusion be categorized? Type I error Type II error Correct conclusion Correct conclusion c) The test engineer finds a sample mean of 53k, while the true value of μ is 50k. How would the conclusion be categorized? Type I error Type II error Type II error 47.5k Correct conclusion d) The test engineer finds a sample mean of 51k, while the true value of u is 50k. How would the conclusion be categorized? Correct conclusion 50k 52.5k 2

MATLAB: An Introduction with Applications
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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2) Type I and Type II Errors A tire manufacturer claims that their tires have an average lifetime of 50,000 miles. An independent testing agency purchases 10 tires and tests their lifespans. Ho : μ = 50,000 H₁ : μ = 50,000 Critical region: X > 52,500, X < 47,500 a) The test engineer finds a sample mean of 48k, while the true value of μ is 49k. How would the conclusion be categorized? Type I error Type II error Type I error Correct conclusion b) The test engineer finds a sample mean of 46k, while the true value of u is 48k. How would the conclusion be categorized? Type II error c) The test engineer finds a sample mean of 53k, while the true value of μ is 50k. How would the conclusion be categorized? Type I error Type II error Correct conclusion 47.5k Correct conclusion d) The test engineer finds a sample mean of 51k, while the true value of μ is 50k. How would the conclusion be categorized? Type I error Type II error Correct conclusion 50k 52.5k 2
Transcribed Image Text:2) Type I and Type II Errors A tire manufacturer claims that their tires have an average lifetime of 50,000 miles. An independent testing agency purchases 10 tires and tests their lifespans. Ho : μ = 50,000 H₁ : μ = 50,000 Critical region: X > 52,500, X < 47,500 a) The test engineer finds a sample mean of 48k, while the true value of μ is 49k. How would the conclusion be categorized? Type I error Type II error Type I error Correct conclusion b) The test engineer finds a sample mean of 46k, while the true value of u is 48k. How would the conclusion be categorized? Type II error c) The test engineer finds a sample mean of 53k, while the true value of μ is 50k. How would the conclusion be categorized? Type I error Type II error Correct conclusion 47.5k Correct conclusion d) The test engineer finds a sample mean of 51k, while the true value of μ is 50k. How would the conclusion be categorized? Type I error Type II error Correct conclusion 50k 52.5k 2
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