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 = 10 subjects
with the syndrome, the average heat output was x = 0.64,
and for n = 10 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 σ1 = 0.2 and σ2
= 0.4.
A) Calculate the test statistic and P-value. (Round
your test statistic to two decimal places and your P-value
to four decimal places.)
| z = | |
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P-value = (b) What is the probability of a type II error when the actual μ1 − μ2 = −1.2? (Round your answer to four decimal places.)
(c) Assuming that m = n, what sample sizes are μ1 − μ2 = −1.2? (Round your answer up to the nearest whole number.) |
