7.27. A paired-difference experiment"1 dealing with response latencies for noise detection under two conditions used a sample of twelve 9-month-old children and reported a sample mean difference of 70.1 and standard deviation of 49.4 for the differences. In their discussion, the authors reported a t statistic of 4.9 having P < 0.01 for a twosided alternative. Show how they constructed the t statistic, and confirm the P-value.