(a) Use the 0.02 level of significance to test the hypothesis whether it is reasonable to assume that the variances of the two populations samples are equal. (b) Based on part (a), use the 0.02 level of significance to test the hypothesis whether the mean values of two samples are equal.

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1. The following random samples are measurements of heat producing capacity of (in GJ) of coal
specimens from two mines.
Mine-1
7.6
8.1
8.4
7.8
8.3
Mine-2
7.9
7.5
8.1
8.2
8.6
8.3
(a) Use the 0.02 level of significance to test the hypothesis whether it is reasonable to assume that
the variances of the two populations samples are equal.
(b) Based on part (a), use the 0.02 level of significance to test the hypothesis whether the mean
values of two samples are equal.
Transcribed Image Text:1. The following random samples are measurements of heat producing capacity of (in GJ) of coal specimens from two mines. Mine-1 7.6 8.1 8.4 7.8 8.3 Mine-2 7.9 7.5 8.1 8.2 8.6 8.3 (a) Use the 0.02 level of significance to test the hypothesis whether it is reasonable to assume that the variances of the two populations samples are equal. (b) Based on part (a), use the 0.02 level of significance to test the hypothesis whether the mean values of two samples are equal.
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