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Unformatted text preview: he time is in minutes and the strength is measured in pounds per square inch, MSE = 0.5, = 30, = 104. Determine the 95% confidence interval for the mean value of metal strength when the average heating time is 4 minutes. A. (4.721 5.279) B. (4.523 5.477) C. (3.325 4.675) D. (4.325 5.675) = 1 + 1(4) = 5 Distance Value = (1/10) + ((4 - 3)2/(104 - ((30)2/10))) = 0.17143 t.025, 8 = 2.306 5 ± (2.306)(.707)(√0.17143) → 4.325 to 5.675 AACSB: Analytic Bloom's: Application Difficulty: Hard Learning Objective: 5 Topic: Confidence & prediction intervals 1-1245 Chapter 01 - An Introduction to Business Statistics 92. An experiment was performed on a certain metal to determine if the strength is a function of heating time. Partial results based on a sample of 10 metal sheets are given below. The simple linear regression equation is = 1 + 1X . The time is in minutes and the strength is measured in pounds per square inch, MSE = 0.5, = 30, = 104. Determine the 95% prediction interval for the strength of a metal sheet when the average heating time is 4 minutes. The distance value has been found to be equal to 0.17143. A. (3.235 6.765) B. (3.370 6.629) C. (3.155 6.845) D. (2.235 5.765) = 1 + 1(4) = 5 Distance Value = (1/10) + ((4 - 3)2/(104 - ((30)2/10))) = 0.17143 t.025, 8 = 2.306 5 ± (2.306)(.707)(√(1 + 0.17143)) → 3.235 to 6.765 AACSB: Analytic Bloom's: Application Difficulty: Medium Learning Objective: 5 Topic: Confidence & prediction intervals 1-1246 Chapter 01 - An Introduction to Business Statistics 93. An experiment was performed on a certain metal to determine if the strength is a function of heating time. Partial results based on a sample of 10 metal sheets are given below. The simple linear regression equation is = 1 + 1X . The time is in minutes and the strength is measured in pounds per square inch, MSE = 0.5, = 30, = 104. Determine the 95% prediction interval for the strength of a metal sheet when the average heating time is 2.5 minutes. A. (1.68 5.32) B. (2.94 4.06) C. (1.78 5.22) D. (0.78 4.22) AACSB: Analytic Bloom's: Application Difficulty: Medium Learning Objective: 5 Topic: Confidence & prediction intervals 1-1247 Chapter 01 - An Introduction to Business Statistics 94. An experiment was performed on a certain metal to determine if the strength is a function of heating time. Partial results based on a sample of 10 metal sheets are given below. The simple linear regression equation is = 1 + 1X . The time is in minutes and the strength is measured in pounds per square inch, MSE = 0.5, = 30, = 104. Determine the 95% confidence interval for the average strength of a metal sheet when the average heating time is 2.5 minutes. A. (2.94 4.06) B. (1.78 5.22) C. (3.31 3.69) D. (1.94 3.06) AACSB: Analytic Bloom's: Application Difficulty: Medium Learning Objective: 5 Topic: Confidence & prediction intervals 1-1248 Chapter 01 - An Introduction to Business Statistics 95. An experiment was performed on a certain metal to determine if the strength is a function of heating time. 95% prediction interval for the strength of a metal sheet when the average heating time is 4 minutes is from 3.235 to 6.765. We are 95% confident that an individual sheet of metal heated for four minutes will have strength of at least 4 pounds per square inch. Do you agree with this statement? A. Yes, agree B. No, disagree We are NOT 95% confident that an individual sheet of metal heated for four minutes will have strength of at least 4 lbs per sq. inch because confidence interval is between 3.235 and 6.765 pounds per square inch. AACSB: Reflective Thinking Bloom's: Analysis Difficulty: Medium Learning Objective: 5 Topic: Simple Linear Regression 96. An experiment was performed on a certain metal to determine if the strength is a function of heating time. 95% confidence interval for the average strength of a metal sheet when the average heating time is 4 minutes is from 4.325 to 5.675. Therefore, we are confident at α = . 05 that the average strength of metal heated for four minutes is between 4.325 and 5.675 pounds per square inch. Do you agree or disagree with this statement? A. Agree B. Disagree AACSB: Reflective Thinking Bloom's: Analysis Difficulty: Medium Learning Objective: 5 Topic: Simple Linear Regression 1-1249 Chapter 01 - An Introduction to Business Statistics 97. An experiment was performed on a certain metal to determine if the strength is a function of heating time. The simple linear regression equation is = 1 + 1X and sample coefficient of determination (r2) = .7777. The time is in minutes and the strength is measured in pounds per square inch. Test to determine if there is a significant correlation between the heating time and strength of the metal. Using H0: ρ = 0 vs. HA: ρ ≠ 0 at α = .05, determine the test statistic and decision. A. t = 1.65, fail to reject the null hypothesis B. t = 2.306, reject the null hypothesis C. t = 5.292, reject the null hypothesis D. t = 8.00, reject the null hypothesis Reject H0, there is a significant correl...
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