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An account on server A is more expensive than an account on server B. However, server A is faster. To see if it's optimal to go with the faster but more expensive server, a manager needs to know how much faster it is. A certain computer algorithm is executed 30 times on server A and 20 times on server B with the following results, Server A 6.7 min Sample mean Server B 7.5 min 1.2 min Sample standard deviation 0.6 min a) Construct a 95% confidence interval for the difference between mean execution time on server A and server B, assuming that the observed times are approximately normal. b) At the 5% level of significance, is there a significant difference in speed between the two servers?

An account on server A is more expensive than an account on server B. However, server A is faster. To see if it's optimal to go with the faster but more expensive server, a manager needs to know how much faster it is. A certain computer algorithm is executed 30 times on server A and 20 times on server B with the following results, Server A 6.7 min Sample mean Server B 7.5 min 1.2 min Sample standard deviation 0.6 min a) Construct a 95% confidence interval for the difference between mean execution time on server A and server B, assuming that the observed times are approximately normal. b) At the 5% level of significance, is there a significant difference in speed between the two servers?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.5: Interpreting Data
Problem 1C
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An account on server A is more expensive than an account on server B. However, server A is faster. To see if it's optimal to go with the faster but more expensive server, a manager needs to know how much faster it is. A certain computer algorithm is executed 30 times on server A and 20 times on server B with the following results, Sample mean Server A 6.7 min 0.6 min Server B 7.5 min 1.2 min Sample standard deviation a) Construct a 95% confidence interval for the difference between mean execution time on server A and server B, assuming that the observed times are approximately normal. b) At the 5% level of significance, is there a significant difference in speed between the two servers?
Transcribed Image Text:An account on server A is more expensive than an account on server B. However, server A is faster. To see if it's optimal to go with the faster but more expensive server, a manager needs to know how much faster it is. A certain computer algorithm is executed 30 times on server A and 20 times on server B with the following results, Sample mean Server A 6.7 min 0.6 min Server B 7.5 min 1.2 min Sample standard deviation a) Construct a 95% confidence interval for the difference between mean execution time on server A and server B, assuming that the observed times are approximately normal. b) At the 5% level of significance, is there a significant difference in speed between the two servers?
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