Probability 4.

(e) A paired-difference experiment involved n = 121 adults. For each adult a characteristic was measured under two distinct conditions and the difference in characteristic values was recorded. The sample mean of the differences was 1.195, whereas their sample standard deviation was 10.2. The researchers reported a t statistic value of 1.289 when testing whether the means of the two conditions are the same. I i. Show how the researchers obtained the t statistic value of 1.289. ii. Calculate the p-value of the test and use the p-value to test the hypothesis of equal means. Use a 5% significance level