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8.2.6 WP An article in Medicine and Science in Sports and Exercise ["Maximal Leg-Strength Training Improves Cycling Economy in Previously Untrained Men” (2005, Vol. 37, pp. 131–136)] studied cycling performance before and after 8 weeks of leg-strength training. Seven previously untrained males per- formed leg-strength training 3 days per week for 8 weeks (with four sets of five replications at 85% of one repetition maximum). Peak power during incremental cycling increased to a mean of 315 watts with a standard deviation of 16 watts. Construct a 95% confidence interval for the mean peak power after training. 8.2.7 The brightness of a television picture tube can be evaluated by measuring the amount of current required to achieve a partic- ular brightness level. A sample of 10 tubes results in x = 317.2 and s = 15.7. Find (in microamps) a 99% confidence interval on mean current required. State any necessary assumptions about the underlying distribution of the data. 8.2.9 The compressive strength of concrete is being tested by a civil engineer who tests 12 specimens and obtains the following data: 2216 2237 2249 2204 2225 2301 2281 2263 2318 2255 2275 2295 a. Check the assumption that compressive strength is nor- mally distributed. Include a graphical display in your answer. b. Construct a 95% two-sided confidence interval on the mean strength. c. Construct a 95% lower confidence bound on the mean strength. Compare this bound with the lower bound of the two-sided confidence interval and discuss why they are different.

8.2.6 WP An article in Medicine and Science in Sports and Exercise ["Maximal Leg-Strength Training Improves Cycling Economy in Previously Untrained Men” (2005, Vol. 37, pp. 131–136)] studied cycling performance before and after 8 weeks of leg-strength training. Seven previously untrained males per- formed leg-strength training 3 days per week for 8 weeks (with four sets of five replications at 85% of one repetition maximum). Peak power during incremental cycling increased to a mean of 315 watts with a standard deviation of 16 watts. Construct a 95% confidence interval for the mean peak power after training. 8.2.7 The brightness of a television picture tube can be evaluated by measuring the amount of current required to achieve a partic- ular brightness level. A sample of 10 tubes results in x = 317.2 and s = 15.7. Find (in microamps) a 99% confidence interval on mean current required. State any necessary assumptions about the underlying distribution of the data. 8.2.9 The compressive strength of concrete is being tested by a civil engineer who tests 12 specimens and obtains the following data: 2216 2237 2249 2204 2225 2301 2281 2263 2318 2255 2275 2295 a. Check the assumption that compressive strength is nor- mally distributed. Include a graphical display in your answer. b. Construct a 95% two-sided confidence interval on the mean strength. c. Construct a 95% lower confidence bound on the mean strength. Compare this bound with the lower bound of the two-sided confidence interval and discuss why they are different.

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
Section: Chapter Questions
Problem 8CR
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Answer questions 8.2.6, 8.2.7 and 8.2.9 respectively 

8.2.6 WP An article in Medicine and Science in Sports and Exercise ["Maximal Leg-Strength Training Improves Cycling Economy in Previously Untrained Men” (2005, Vol. 37, pp. 131–136)] studied cycling performance before and after 8 weeks of leg-strength training. Seven previously untrained males per- formed leg-strength training 3 days per week for 8 weeks (with four sets of five replications at 85% of one repetition maximum). Peak power during incremental cycling increased to a mean of 315 watts with a standard deviation of 16 watts. Construct a 95% confidence interval for the mean peak power after training. 8.2.7 The brightness of a television picture tube can be evaluated by measuring the amount of current required to achieve a partic- ular brightness level. A sample of 10 tubes results in x = 317.2 and s = 15.7. Find (in microamps) a 99% confidence interval on mean current required. State any necessary assumptions about the underlying distribution of the data.
Transcribed Image Text:8.2.6 WP An article in Medicine and Science in Sports and Exercise ["Maximal Leg-Strength Training Improves Cycling Economy in Previously Untrained Men” (2005, Vol. 37, pp. 131–136)] studied cycling performance before and after 8 weeks of leg-strength training. Seven previously untrained males per- formed leg-strength training 3 days per week for 8 weeks (with four sets of five replications at 85% of one repetition maximum). Peak power during incremental cycling increased to a mean of 315 watts with a standard deviation of 16 watts. Construct a 95% confidence interval for the mean peak power after training. 8.2.7 The brightness of a television picture tube can be evaluated by measuring the amount of current required to achieve a partic- ular brightness level. A sample of 10 tubes results in x = 317.2 and s = 15.7. Find (in microamps) a 99% confidence interval on mean current required. State any necessary assumptions about the underlying distribution of the data.
8.2.9 The compressive strength of concrete is being tested by a civil engineer who tests 12 specimens and obtains the following data: 2216 2237 2249 2204 2225 2301 2281 2263 2318 2255 2275 2295 a. Check the assumption that compressive strength is nor- mally distributed. Include a graphical display in your answer. b. Construct a 95% two-sided confidence interval on the mean strength. c. Construct a 95% lower confidence bound on the mean strength. Compare this bound with the lower bound of the two-sided confidence interval and discuss why they are different.
Transcribed Image Text:8.2.9 The compressive strength of concrete is being tested by a civil engineer who tests 12 specimens and obtains the following data: 2216 2237 2249 2204 2225 2301 2281 2263 2318 2255 2275 2295 a. Check the assumption that compressive strength is nor- mally distributed. Include a graphical display in your answer. b. Construct a 95% two-sided confidence interval on the mean strength. c. Construct a 95% lower confidence bound on the mean strength. Compare this bound with the lower bound of the two-sided confidence interval and discuss why they are different.
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