Student Solutions Manual for Devore's Probability and Statistics for Engineering and the Sciences, 9th
9th Edition
ISBN: 9798214004020
Author: Jay L. Devore
Publisher: Cengage Learning US
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Chapter 9.1, Problem 5E
Persons having Reynaud’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 m = 10 subjects with the syndrome, the average heat output was
a. Consider testing H0: µ1 − µ2 = −1.0 versus Ha: µ1 = µ2, < −1.0 at level .01. Describe in words what Ha says, and then carry out the test.
b. What is the
c. Assuming that m 5 n, what
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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/cm2/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 µj and µɔ denote the true average heat outputs for the sufferers and nonsufferers, respectively. Assume that the two distributions of heat output are normal with o1 = 0.1 and
02 = 0.5.
(a) Consider testing Ho: H1 - H2 = -1.0 versus Ha: µ1 - 42 < -1.0 at level 0.01. Describe in words what Ha says, and then carry out the test.
Ha says that the average heat output for sufferers is the same as that of non-sufferers.
Ha says that the average heat output for sufferers is more than 1 cal/cm2/min below that of non-sufferers.
Ha says that the average heat output for sufferers is less than 1…
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 µj and µɔ denote the true average heat outputs for the sufferers and
nonsufferers, respectively. Assume that the two distributions of heat output are normal with o1 = 0.1 and o2 = 0.5.
(a) Consider testing Ho: H1 - H2 = -1.0 versus Ha: µ1 - H2 < -1.0 at level 0.01. Describe in words what H, says, and then carry out the test.
Ha says that the average heat output for sufferers is the same as that of non-sufferers.
O Ha says that the average heat output for sufferers is more than 1 cal/cm/min below that of non-sufferers.
O H, says that the average heat output for sufferers is less than 1…
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 m = 9 subjects with the syndrome, the average heat output
was x = 0.63, and for n = 9 nonsufferers, the average output was 2.07. Let ₁ 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 ₁ = 0.1 and ₂ = 0.5.
(a) Consider testing Ho: H₁ H₂ = -1.0 versus H₂: H₁ H₂ < -1.0 at level 0.01. Describe in words what H₂ 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.
ⒸH₂ 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…
Chapter 9 Solutions
Student Solutions Manual for Devore's Probability and Statistics for Engineering and the Sciences, 9th
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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/cm2/min) was measured. For m = 9 subjects with the syndrome, the average heat output was x = 0.65, and for n = 9 nonsufferers, the average output was 2.03. Let μ1 and μ2 denote the true average heat outputs for the sufferers and nonsufferers, respectively. Assume that the two distributions of heat output are normal witarrow_forwardPeople having Raynauds 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 m = 12 subjects with the syndrome, the average heat output was x = 0.64, and for n = 12 non-sufferers, the average output was 2.05. Let µ1 and µ2 denote the true average heat outputs for the two types of subjects. Assume that the two distributions of heat output are normal with σ1 = 0.2 and σ2 = 0.2. 1) Consider testing H0: µ1 − µ2 = 0 versus Ha: µ1 − µ2 < 0 at level 0.01. Describe in words what Ha says, and then carry out the test. 2) What is the probability of a type II error when the actual difference between µ1 and µ2 is µ1 − µ2 = −1.2? 3) Assuming that m=n, what sample sizes are required to ensure that β=0.1when µ1− µ2 = −1.2?arrow_forwardPersons 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 m = 8 subjects with the syndrome, the average heat output was x = 0.63, and for n = 8 nonsufferers, the average output was 2.08. Let μ₁ and μ₂ denote the true average heat outputs for the sufferers and nonsufferers, respectively. Assume that the two distributions of heat output are normal with = 0.1 and ⁰1 = 0.5. %2 - (a) Consider testing Ho: M₁ M₂ = -1.0 versus Ha: M₁ M₂ < -1.0 at level 0.01. Describe in words what H₂ says, and then carry out the test. OH₂ says that the average heat output for sufferers is less than 1 cal/cm2/min below that of non-sufferers. Ha says that the average heat output for sufferers is the same as that of non-sufferers. OH says that the average heat output for sufferers is more than 1…arrow_forward
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