The observations on daily TV watching for the 15 subjects in a 2016 survey who were obese were 0, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 8. A 95% confidence interval for the mean of the corresponding population is (2.84, 4.76).

Suppose the observation of 8 was incorrectly recorded as 80. What would have been obtained for the 95% confidence interval? Compare to the interval (2.84, 4.76). How does this warn you about potential effects of outliers on confidence intervals for means?