An estimated regression equation hat was to estimate ductility in stee using its
ID: 3317440 • Letter: A
Question
An estimated regression equation hat was to estimate ductility in stee using its carbon content was ound to be significant at r: 005 e 9 % pred ction interval for the ductility of steel with 0 5% carbon content was determined to be 0 45 to 11 59 What is the correct interpretation of this prediction interval? ( A. We can be 95% confident that the ductility of a particular type of steel with 0.5% carbon content is between 0.45 and 11.59 O B, we can be 95% confident that the average ductility of all steel with 0.5% carbon content is between 0 45 and 11.59. ( C. 95% of the time the average ductility of steel with 0.5% carbon content will be between 0.45 and 11.59 D. We can be 95% confident that all steel with have ductility measurements between 0 45 and 1159.Explanation / Answer
The correct answer is C. 95% of the time the average ducility of steel with 0.5% carbon content will be between 0.45 and 11.59.
Please note that if the 95% confidence interval is (a,b), this means that 95% of all intervals contain the parameter in the range (a,b),