Independent random samples of ore taken from two high-grade gold mines were obtained, and the gold value (in grams/tonne) was measured for each. The summary statistics were Assume normality and...

Independent random samples of ore taken from two high-grade gold mines were obtained, and the gold value (in grams/tonne) was measured for each. The summary statistics were

Assume normality and unequal variances.

a.
Conduct the appropriate hypothesis test to determine whether there is any evidence that the population mean gold value at the El Aguila mine is less than at the Dolaucothi mine.

b.Your conclusion in part (a) should be that there is no evidence to suggest a difference. Explain why this result is correct even though the sample means are very far apart.