The college board sat college entrance exam consists of three parts: math, writing, and critical reading. testscores file shows the math and writing scores for a sample of 12 students who took the sat. a. use a .05 level of significance and test for a difference between the population mean for the math scores and the population mean for the writing scores. what is the p-value and what is your conclusion? b. what is the point estimate of the difference between the mean scores for the two tests? what are the estimates of the population mean scores for the two tests? which test reports the higher mean score