(See Section 9.1.) Persons having Raynaud\'s syndrome are apt to suffer a sudden

Question

(See Section 9.1.) 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 0.64, and for n-9 nonsufferers, the average output was 2.06. Let 1 and 2 denote the true average heat outputs for the sufferers and nonsufferers, respectivy.Asme that the two distributions of heat output are normal with a10.1 and a20.4. (Consider testing Hoi 1-12 =-1.0 versus Hai 1-2

Explanation / Answer

The statistical software output for this problem is:

Two sample Z summary hypothesis test:
1 : Mean of population 1 (Std. dev. = 0.1)
2 : Mean of population 2 (Std. dev. = 0.4)
1 - 2 : Difference between two means
H0 : 1 - 2 = -1
HA : 1 - 2 < -1

Hypothesis test results:

Hence,

z = -3.06

P - value = 0.0011

Difference n1 n2 Sample mean Std. err. Z-stat P-value 1 - 2 9 9 -1.42 0.13743685 -3.0559489 0.0011

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