15) Data was collected from CEOs products industry. The following printout compa

Question

15) Data was collected from CEOs products industry. The following printout compares in the low-tech industry and CEOs in the consumer produ of companies within both the low-tech industry and the consumer the mean return-to-pay ratios between CEOs HYPOTHESIS: MEAN X = MEAN Y SAMPLES SELECTED FROM RETURN industry1 industry 3 (consumer products) (low tech) NUMBER 15) (NUMBER = 15) X- industry1 Y industry3 SAMPLE MEAN OF 157.286 SAMPLE VARIANCE OF X = 1563.45 SAMPLE SIZE OF X = 14 SAMPLE MEAN OFY 217.583 SAMPLE VARIANCE OF Y = 1601.54 SAMPLE SIZE OFY12 MEAN X-MEAN Y -60-2976 t-4.23468 P-VALUE0.000290753 P-VALUE/2 0.000145377 SD.ERROR= 14.239 Using the printout above, find the test statistic necessary for testing whether the mean return-to-pay ratio of low tech CEO's exceeds the return-to-pay ratio of consumer product CEOs. C) -60.2976 D) -423468 A).000145377 B) 14.239

Explanation / Answer

Given that,
mean(x)=157.286
standard deviation , s.d1= sqrt(1563.45) = 39.5405
number(n1)=14
y(mean)=217.583
standard deviation, s.d2 =sqrt(1601.54) = 40.0192
number(n2)=12
null, Ho: u1 - u2 = 0
alternate, H1: u1 - u2 > 0
we use test statistic (t) = (x-y)/sqrt(s.d1^2/n1)+(s.d2^2/n2)
to =157.286-217.583/sqrt((1563.45114/14)+(1601.53637/12))
to =-60.2976/14.239
to = -4.23468

ANSWERS
---------------
Ttest statistic is = -4.23468
Option D

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