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10.33 Runners and Cyclists Chronic anterior compartment syndrome is a condition characterized by exercise-induced pain in the lower leg. Swelling and impaired nerve and muscle function also accompany this pain, which is relieved by rest. Susan Beckham and colleagues conducted an experiment involving 10 healthy runners and 10 healthy cyclists to determine whether there are significant differences in pressure measurements within the anterior muscle compartment for runners and cyclists. The data summary-compartment pressure in millimetres of mercury (Hg)-is as follows: 8. n00 C100 Runners Cyclists Standard Deviation Standard Deviation Condition Mean Mean Rest 14.5 3.92 11.1 3.98 80% maximal 02 consumption Maximal 02 consumption 12.2 3.49 11.5 4.95 19.1 16.9 12.2 4.47 a. Test for a significant difference in compartment pressure between runners and cyclists under the resting condition. Use a = b. Construct a 95% confidence interval estimate of the difference in means for runners and cyclists under the condition of exercising at 80% of maximal 0.05. oxygen consumption. c. To test for a significant difference in compartment pressure at maximal oxygen consumption, should you use the pooled or unpooled t test? Explain.

10.33 Runners and Cyclists Chronic anterior compartment syndrome is a condition characterized by exercise-induced pain in the lower leg. Swelling and impaired nerve and muscle function also accompany this pain, which is relieved by rest. Susan Beckham and colleagues conducted an experiment involving 10 healthy runners and 10 healthy cyclists to determine whether there are significant differences in pressure measurements within the anterior muscle compartment for runners and cyclists. The data summary-compartment pressure in millimetres of mercury (Hg)-is as follows: 8. n00 C100 Runners Cyclists Standard Deviation Standard Deviation Condition Mean Mean Rest 14.5 3.92 11.1 3.98 80% maximal 02 consumption Maximal 02 consumption 12.2 3.49 11.5 4.95 19.1 16.9 12.2 4.47 a. Test for a significant difference in compartment pressure between runners and cyclists under the resting condition. Use a = b. Construct a 95% confidence interval estimate of the difference in means for runners and cyclists under the condition of exercising at 80% of maximal 0.05. oxygen consumption. c. To test for a significant difference in compartment pressure at maximal oxygen consumption, should you use the pooled or unpooled t test? Explain.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 16E
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FFERENCE BETWEEN TWO POPULATION MEANS: INDEPENDENT RANDOM SAMPLES 423 ontained - received ects, the dex x, a b. What is the p-value for the test? C. The MINITAB analysis uses the pooled estimate of o. Is the assumption of equal variances reasonable? Why or why not? and 14 +-day he two 10.33 Runners and Cyclists Chronic anterior compartment syndrome is a condition characterized by exercise-induced pain in the lower leg. Swelling and impaired nerve and muscle function also accompany this pain, which is relieved by rest. Susan Beckham and colleagues conducted an experiment involving 10 healthy runners and 10 healthy cyclists to determine whether there are significant differences in pressure measurements within the anterior muscle compartment for runners and The data summary-compartment pressure roup hould ue cyclists.3 in millimetres of mercury (Hg)-is as follows:0 00 CI00 cate Runners Cyclists sing Standard Standard Condition Mean Deviation Mean Deviation Rest 14.5 3.92 11.1 3.98 80% maximal 02 consumption Maximal 02 consumption 12.2 3.49 11.5 4.95 Cro, 19.1 16.9 12.2 4.47 a. Test for a significant difference in compartment pressure between runners and cyclists under the resting condition. Use a = b. Construct a 95% confidence interval estimate of the difference in means for runners and cyclists under the condition of exercising at 80% of maximal EXI07 0.05. oxygen consumption. c. To test for a significant difference in compartment pressure at maximal oxygen consumption, should you use the pooled or unpooledt test? Explain.
Transcribed Image Text:FFERENCE BETWEEN TWO POPULATION MEANS: INDEPENDENT RANDOM SAMPLES 423 ontained - received ects, the dex x, a b. What is the p-value for the test? C. The MINITAB analysis uses the pooled estimate of o. Is the assumption of equal variances reasonable? Why or why not? and 14 +-day he two 10.33 Runners and Cyclists Chronic anterior compartment syndrome is a condition characterized by exercise-induced pain in the lower leg. Swelling and impaired nerve and muscle function also accompany this pain, which is relieved by rest. Susan Beckham and colleagues conducted an experiment involving 10 healthy runners and 10 healthy cyclists to determine whether there are significant differences in pressure measurements within the anterior muscle compartment for runners and The data summary-compartment pressure roup hould ue cyclists.3 in millimetres of mercury (Hg)-is as follows:0 00 CI00 cate Runners Cyclists sing Standard Standard Condition Mean Deviation Mean Deviation Rest 14.5 3.92 11.1 3.98 80% maximal 02 consumption Maximal 02 consumption 12.2 3.49 11.5 4.95 Cro, 19.1 16.9 12.2 4.47 a. Test for a significant difference in compartment pressure between runners and cyclists under the resting condition. Use a = b. Construct a 95% confidence interval estimate of the difference in means for runners and cyclists under the condition of exercising at 80% of maximal EXI07 0.05. oxygen consumption. c. To test for a significant difference in compartment pressure at maximal oxygen consumption, should you use the pooled or unpooledt test? Explain.
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