he following random samples are measurements of the heatprod

he following random samples are measurements of the heat-producing capacity (in millions of calories per ton) of specimens of coal from two mines:

MINE 1

8260

8130

8350

8070

8340

MINE 2

7950

7890

7900

8140

7920

7840

Use a 0.01 level of significance to test whether the difference between the means of these two samples is significant. Assume equal variance between populations.

The t-statistic for this test is t_⁰ =

Based on the t-statistic calculated above, the null hypothesis must be rejected at a level of significance equal to 0.01. We conclude that the average heat-producing capacity of the coal from the two mines is not the same. The very small P value 0.0024 strengthens this conclusion. Enter 0 if this statement is FALSE or 1 otherwise:   

Solution

t-statistics value=t₀=4.19

Thus,we reject the null hypothesis at level 0.01 and conclude that the average heat-producing capacity of the coal from the two mines is not same.

Besides P-value=0.0024. Thus, the statement is true.