9..5.4. the preening time data in Table 8.2.2. Let µ,x be the true average time for male fruit flies, and tLY , the true average for female mrit flies.. Construct a 99% interval for µ,x - µ.y . What do the endpoints of your interval about the outcome of testing Ho: µx = JL y versus H1: µ,x ,;:. µ..y at the a 0.01 o( significance?
9..5..5. out the details to complete the proof of Theorem 95.1.
9.5.6. th.at X1, X2, . .., X 11 and Y1, Y2, ..., Ym are independent random from normal distributions with means µ.x and µ.y and known standard deviations ax a.nd ,
Derive a 100(1 - a)% confidence interval for µ,x - µ,y .
·1V1u..,,1r-t a 95% confidence interval for oJ /aJ based on the presidential life
in Question 93.L The hypothesis test referred to fo Part (a) of that question
"fail to :reject Ho'' conclusion. Does that agree with your confidence interval? "··-·-'- of the parameters used in evaluating myocardial function is the end 1,:1,,..,.,,.,...
volume (EDY). The foUowing table shows EDVsrecorded for eight persons considered
Normal, X i
Constrictive Pericarditis, Yi
to have norm.al cardiac fm1ct.ion and for six with constrictive pericarditis (204). Would it be correct to use Theorem 9.2.2 to test Ho: µx = µ/! Answer the question by conslrucring a 95% confidence interval for a}Jar
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