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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 11245 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 11246 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 11247 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 11248 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 11249 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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This document was uploaded on 01/20/2014.
 Winter '14

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