Suppose two proposed computer mouse designs were compared by recording wrist extension in degrees for 24 people who each used both mouse types. the difference in wrist extension was computed by subtracting extension for mouse type b from the wrist extension for mouse type a for each student. the mean difference was reported to be 8.89 degrees. assume that it is reasonable to regard this sample of 24 people as representative of the population of computer users. (a) suppose that the standard deviation of the differences was 10 degrees. is there convincing evidence that the mean wrist extension for mouse type a is greater than for mouse type b? use a 0.05 significance level. (use a statistical computer package to calculate the p-value. use μd = μa − μb. round your test statistic to two decimal places, your df down to the nearest whole number, and your p-value to three decimal places.)