All outdoor recreation organization tested two models of camp stoves to determin

Question

All outdoor recreation organization tested two models of camp stoves to determine which one heats water faster, by measuring the time a random sample of each stove took to raise the temperature of 2 quarts of water from 50 degree F to boiling (at sea level). The following results were obtained. Model 1: x_1 =11.4 min s_1 = 2.5 min n_1 = 10 Model 2: x_2 = 9.9 min s_2 = 3.0 min n_2 = 8 Conduct an independent samples t test to determine if there is evidence that Model 1 takes significantly longer than Model 2 to heat water. Use a significance level alpha = 0.10.

Explanation / Answer

here

from above degree of freedom v=((s12/n1+s22/n2)2/((s12/n1)2/(n1-1) +(s22/n2)2/(n2-1))=~13

also std error of differnce = (s12/n1+s22/n2)1/2 =1.3229

hence test stat t=(X1-X2)/std error =1.1339

for which at 13 degree of freedom p value =0.1387

which is higher then 0.1 level ; hence we can not reject null hypothesis that both means are equal.

And therefore can not accept that Model1 takes longer time

S1 2.500 S2 3.000 n1 10 n2 8 X1 11.400 X2 9.900

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