The u. s. golf association provides a number of services for its members. one of these is the evaluation of golf equipment to make sure that the equipment satisfies the rules of golf. for example, they regularly test the golf balls made by the various companies that sell balls in the united states. recently they undertook a study of two brands of golf balls with the objective to see whether there is a difference in the mean distance that the two golf ball brands will fly off the tee. to conduct the test, the u. s.g. a. uses a robot named "iron byron," which swings the club at the same speed and with the same swing pattern each time it is used. the following data reflect sample data for a random sample of balls of each brand. brand a: 234 236 230 227 234 233 228 229 230 238brand b: 240 236 241 236 239 243 230 239 243 240given this information, what is the test statistic for testing whether the two population means are equal? would you reject the null hypothesis? use 5% for alpha. assume equal variances.