Adistrict manager rewards sales teams based on overall sales generated in a month. the data for earnings are shown in the table, where low represents the lowest sales and high represents the highest sales generated by a single sales team member. team low high range mean median iqr σteam x 1970 2970 1200 2571.9 2684 426.3 313.8team y 250 375 125 315.8 311 59 37.8team z 950 1900 950 1529.9 1473 276 180.7part a: if the manager wants to award the sales team that has the most consistent earnings among its team members, which team should it choose and why? justify your answer mathematically. (5 points)part b: if the manager wants to award the sales team with the highest average earnings, which team should it choose and why? justify your answer mathematically. (5 points)

Atechnician compares repair costs for two types of microwave ovens (type i and type ii). he believes that the repair cost for type i ovens is greater than the repair cost for type ii ovens. a sample of 6767 type i ovens has a mean repair cost of $79.79$⁢79.79. the population standard deviation for the repair of type i ovens is known to be $19.18$⁢19.18. a sample of 5555 type ii ovens has a mean repair cost of $75.24$⁢75.24. the population standard deviation for the repair of type ii ovens is known to be $21.40$⁢21.40. conduct a hypothesis test of the technician's claim at the 0.050.05 level of significance. let μ1μ1 be the true mean repair cost for type i ovens and μ2μ2 be the true mean repair cost for type ii ovens. step 2 of 4 : compute the value of the test statistic. round your answer to two decimal places.