A machine learning engineer is testing the speed at which his new computer graphics card can train a deep learning algorithm on a dataset. The engineer tested the speed of the graphics card on a dataset using the 10-fold cross-validation technique, which is testing 10 times the process. training-testing with the same dataset splitting size. From the 10 times of the training-testing process, the following training time data were obtained (in hours): 11,2 ; 10,1 ; 12,4 ; 11,0 ; 10,8 ; 12,2 ; 11,6 ; 12,4 ; 12,5 ; 10,6 a. Calculate the 99% two-sided confidence interval (99% two-sided confidence interval) for the graphics card's average training time. b. Calculate the upper 90% confidence interval (upper confidence interval of 90%) for the average training time of the graphics card. c. Calculate the 97.5% lower confidence interval (97.5% lower confidence interval) for the graphics card's average training time. d. Calculate the Margin of Error (MOE) of the graphics card's average training time with a 95% two-sided confidence interval.

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Chapter1: Combinatorial Analysis
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A machine learning engineer is testing the speed at which his new computer graphics card can train a deep learning algorithm on a dataset. The engineer tested the speed of the graphics card on a dataset using the 10-fold cross-validation technique, which is testing 10 times the process.
training-testing with the same dataset splitting size. From the 10 times of the training-testing process, the following training time data were obtained (in hours):

11,2 ; 10,1 ; 12,4 ; 11,0 ; 10,8 ; 12,2 ; 11,6 ; 12,4 ; 12,5 ; 10,6

a. Calculate the 99% two-sided confidence interval (99% two-sided confidence interval) for the graphics card's average training time.
b. Calculate the upper 90% confidence interval (upper confidence interval of 90%) for the average training time of the graphics card.
c. Calculate the 97.5% lower confidence interval (97.5% lower confidence interval) for the graphics card's average training time.
d. Calculate the Margin of Error (MOE) of the graphics card's average training time with a 95% two-sided confidence interval.

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