Question

The following are the heat-producing capacities of coal from two mines (in millions of calories per ton): Mine A: 8500 8330 8480 7960 8030 Mine B: 7710 7890 7920 8270 7860 Assuming these data represent random samples from normal populations, examine the hypothesis of equal variances. Clearly state your conclusion, including justification. Regardless of your answer to #4, construct a 99% confidence interval for the difference between the true average heat-producing capacities of coal from the two mines, assuming equal variances. Interpret your final result-do the results of problem #4 cause you any concern in your interpretation here?

Answer 1

Solutions Here, na =5, Mean (n)- 8260 S, = 252 no =5, Mean(to) = 7930, $2=207 Level of significance id = 0.01 So -|-1) + +(18-1)S 14(252)+7(4) (207) Y nn + NB-2 545-2 sp = 230.3259 The 996. confidence interval for the differente of means =>(T-51)+ tafarni tn-2 *sp* L = (3260-493) +(3.355)* 5 t (230. 2017) = (3a7-87 , 332.18) :: The 99.f. contidence Interval is =(-158. 7258 818. 7258) The 99.f. CI = (-158.7 ) 818.7)