Question: Testing the Difference Between Means (Large Independent Samples). Look on page 409 to view figure for exercise

\(4\) (a) Find the test statistic, (b) Find the standardized test statistic, (c) decide whether the standardized test statistic is in the rejection region, and (d) decide whether you should reject or fail to reject the null hypothesis. The samples are random and independent. Claim: \({{\mu }_{1}}>{{\mu }_{2}}\), α = 0.10. Sample statistics: \({{\bar{X}}_{1}}\) =500, \({{s}_{1}}\) = 30, \({{n}_{1}}\) =100 and \({{\bar{X}}_{2}}\) = 510, \({{s}_{2}}\) = 15, \({{n}_{2}}\) = 75