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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 22PFA

See similar textbooks