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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/cm/min) was measured. For m =9 subjects with the syndrome, the average heat output was x= 0.62, and for n= 9 nonsufferers, the average output vas 2.06. Let 4 and z denote the true average heat outputs for the sufferers and nonsufferers, respectively. Assume that the two distributions of heat output are normal vwith o, = 0.1 and oz = 0.5. . says tnas uie a Calculate the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) P-value = What is the probability of a type II error when the actual difference between and az is Hi - u2 = -1.17 (Round your answer to four decimal places.) . Assuming that m = n, what sample sizes are required to ensure that B = 0.1 when H - H2 = -1.1? (Round your answer up to the nearest whole number.) subjects

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/cm/min) was measured. For m =9 subjects with the syndrome, the average heat output was x= 0.62, and for n= 9 nonsufferers, the average output vas 2.06. Let 4 and z denote the true average heat outputs for the sufferers and nonsufferers, respectively. Assume that the two distributions of heat output are normal vwith o, = 0.1 and oz = 0.5. . says tnas uie a Calculate the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) P-value = What is the probability of a type II error when the actual difference between and az is Hi - u2 = -1.17 (Round your answer to four decimal places.) . Assuming that m = n, what sample sizes are required to ensure that B = 0.1 when H - H2 = -1.1? (Round your answer up to the nearest whole number.) subjects

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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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/cm?/min) was measured. For m = 9 subjects with the syndrome, the average heat output was x = 0.62, and for n = 9 nonsufferers, the average output was 2.06. Let u, and uz denote the true average heat outputs for the sufferers and nonsufferers, respectively. Assume that the two distributions of heat output are normal with o, = 0.1 and oz = 0.5. vA, says tnal ule a y---- Calculate the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) P-value = What is the probability of a type II error when the actual difference between u, and uz is u - uz = -1.1? (Round your answer to four decimal places.) Assuming that m = n, what sample sizes are required to ensure that 8 = 0.1 when u - uz = -1.1? (Round your ansver up to the nearest whole number.) subjects
Transcribed Image Text: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/cm?/min) was measured. For m = 9 subjects with the syndrome, the average heat output was x = 0.62, and for n = 9 nonsufferers, the average output was 2.06. Let u, and uz denote the true average heat outputs for the sufferers and nonsufferers, respectively. Assume that the two distributions of heat output are normal with o, = 0.1 and oz = 0.5. vA, says tnal ule a y---- Calculate the test statistic and P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) P-value = What is the probability of a type II error when the actual difference between u, and uz is u - uz = -1.1? (Round your answer to four decimal places.) Assuming that m = n, what sample sizes are required to ensure that 8 = 0.1 when u - uz = -1.1? (Round your ansver up to the nearest whole number.) subjects
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