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You are the director of a small health care organization and have heard a lot ab

ID: 3180241 • Letter: Y

Question

You are the director of a small health care organization and have heard a lot about a popular new "motivational seminar" on the market. You like the idea of increasing your employees' motivation, but have heard there is very little real evidence for the effectiveness of such seminars Therefore, you decide to test the effectiveness in a small experiment in your organization. You randomly assign 4 individuals to the experimental (seminar) condition and 4 individuals to the control (no seminar) condition. The employee's actual performance (in terms of number of orders filled) is recorded 1 month after the experiment to see if the seminar produced any real difference in performance If the experiment is successful, you may decide to give the seminar to all employees. Condition: 1 = control, 2 = Experimental Performance: higher numbers of orders filled is better

Explanation / Answer

Here is factor of variation is conditionie controled and experimental

null hypothesis is mu1=mu2

alternate hypothesis is that mu1 not equal to mu2

n1=n2=4,N=8

Condition performance Total

SumXijsqr=60*60+51*51+47*47+56*56+80*80+63*63+69*69+65*65=30901

Correction factor= GTsqr/N=491*491/8=30135.125

Total SS=30901-30135.125=765.875

TreatmentSS=Tsqr/4-correction factor=122525/4-30135=496.125

ErrorSS=Total SS-TreatmentSS

=765.875-496.125=269.75

F TABULATED VALUE AT5% significance level at 1,6degree of freedom is 5.99 which is less than calculated valuehence the value of test statisticF is significant and we reject h0 at 5%level of significance and conclude with 95% confidence that condition1 and 2 differ significantly.

control-1 60 51 47 56 T1=214 T1sqr=45796 experimental-2 80 63 69 65 T2=277 T2sqr=76729 G.T.=491 122525
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