Persons having Raynaud's syndrome are apt to suffer a sudden impairment of blood circulation in fingers and toes. In an experiment to study the extent of this impairment, each subject immersed a forefinger in water and the resulting heat output (cal/cm2/min) was measured. For m9 subjects with the syndrome, the average heat out was - 0.63, and for n-3 nonsufferers, the average output was 2.07. Let H. and ₂ denote the true average heat outputs for the sufferers and nonsufferers, respectively. Assume that the two distributions of heat output are normal with ₁0.1 and ₂0.5. (a) Consider testing Hoi H₁ H₂ -1.0 versus H₂ H₁ H₂ -1.0 at level 0.01. Describe in words what H, says, and then carry out the test. OH, says that the average heat output for sufferers is less than 1 cal/cm2/min below that of non-sufferers. H, says that the average heat output for sufferers is more than 1 cal/cm2/min below that of non-sufferers. OH, says that the average heat output for sufferers is the same as that of non-sufferers. Calculate the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z--23955 P-value-0.0043 x State the conclusion in the problem context. Reject Ho. The data suggests that the average heat output for sufferers is the same as that of non-sufferers. O Fail to reject Ho. The data suggests that the average heat output for sufferers is less than 1 cal/cm²/min below that of non-sufferers. Reject Ho. The data suggests that the average heat output for sufferers is more than 1 cal/cm²/min below that of non-sufferers. Fail to reject Ho. The data suggests that the average heat output for sufferers is the same as that of non-sufferers. (b) What is the probability of a type 11 error when the actual difference between ₁ and ₂ is H₂H₂ -1.47 (Round your answer to four decimal places.) E x (c) Assuming that mn, what sample sizes are required to ensure that 0.1 when H₁ H₂ -1.47 (Round your answer up to the nearest whole number.) x subjects 1.6

Persons having Raynaud's syndrome are apt to suffer a sudden impairment of blood circulation in fingers and toes. In an experiment to study the extent of this impairment, each subject immersed a forefinger in water and the resulting heat output (cal/cm2/min) was measured. For m9 subjects with the syndrome, the average heat out was - 0.63, and for n-3 nonsufferers, the average output was 2.07. Let H. and ₂ denote the true average heat outputs for the sufferers and nonsufferers, respectively. Assume that the two distributions of heat output are normal with ₁0.1 and ₂0.5. (a) Consider testing Hoi H₁ H₂ -1.0 versus H₂ H₁ H₂ -1.0 at level 0.01. Describe in words what H, says, and then carry out the test. OH, says that the average heat output for sufferers is less than 1 cal/cm2/min below that of non-sufferers. H, says that the average heat output for sufferers is more than 1 cal/cm2/min below that of non-sufferers. OH, says that the average heat output for sufferers is the same as that of non-sufferers. Calculate the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z--23955 P-value-0.0043 x State the conclusion in the problem context. Reject Ho. The data suggests that the average heat output for sufferers is the same as that of non-sufferers. O Fail to reject Ho. The data suggests that the average heat output for sufferers is less than 1 cal/cm²/min below that of non-sufferers. Reject Ho. The data suggests that the average heat output for sufferers is more than 1 cal/cm²/min below that of non-sufferers. Fail to reject Ho. The data suggests that the average heat output for sufferers is the same as that of non-sufferers. (b) What is the probability of a type 11 error when the actual difference between ₁ and ₂ is H₂H₂ -1.47 (Round your answer to four decimal places.) E x (c) Assuming that mn, what sample sizes are required to ensure that 0.1 when H₁ H₂ -1.47 (Round your answer up to the nearest whole number.) x subjects 1.6

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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