
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..,,1rt 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 62  Constrictive Pericarditis, Yi 24 
60  56 
78  42 
62  74 
49  44 
67  28 
80 

48 

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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