4. Two groups of drivers are surveyed to see how many miles per week they drive for pleasure trips. The data are shown.At a = 0.01, can it be concluded that single drivers do more driving for pleasure trips on average than marrieddrivers do? Do the hypothesis test.a.b.106119110115108117107Find the 95% confidence interval for the difference of the means. Can this be used to verify your results in part a?If so, how? If not, why not?Single drivers1109711711411786133115118116103152115138121122138981471161421321351429911710414097133139140101115113Married drivers104120108136114109119138119117113116147991021361451131131061081159611415013588105

Given the data on the drivers (single and married).want to test whether single drivers do more driving for pleasure on average than married drivers.Let be the average of single drivers and be the average for married drivers.The hypothesis should belet X be single driver and Y be married driverSingle driver(X)Married driver (Y)X^2Y^21069711236940911010412100108161151381322519044121102146411040413211517424132251191331416117689971209409144001181191392414161122136148841849613596182259216110139121001932111710813689116641161171345613689 1381451904421025 1421142016412996 1151401322519600 1141361299618496 1031131060912769981139604127699915098012250010810111664102011171141368912996152116231041345614711321609127691171351368918225117115136891322586109739611881115147132252160911610613456112361048810816774410711311449127691331191768914161 13899190449801 1421082016411664 1401051960011025 sum41664123504200494451The test statistics is given byThe p-value associated with the above test statistic is calculated using the Excel functionsince p-value( 0.3734) > 0.01, fails to reject the null hypothesis.Conclusion: There is sufficient evidence to reject the claim that single drivers do more driving for pleasure on average than married drivers.The confidence interval is given by,The T critical value is calculated using Excel assince Zero( 0) is included in the above confidence interval.Therefore, there is sufficient evidence to reject the claim that single drivers do more driving for pleasure on average than married drivers.The result in part a) is verified.a) There is sufficient evidence to reject the claim that single drivers do more driving for pleasure on average than married drivers.b) The confidence interval is ( -8.8138,11.2710)The result in part a) is verified.