Two competing bakeries wanted to know how satisfied their customers were with their food choices (on a scale of 1 to 6, where 1 is very unsatisfied and 6 is very satisfied). The assumption is that Company A has more satisfying food choices and should have a greater average rating. They each took a random sample of their customers to get an average rating.

Company A had 72 participants, who responded with an average rating of 5.02 and a standard deviation of 0.31. Company B had 61 participants, who responded with an average rating of 4.82 and a standard deviation of 0.51.

Assume that sample1 comes from Company A and sample2 comes from Company B.

Compute the 95% confidence interval. Round to the fourth decimal point. Please enter you answer in the following format: (lower_value, upper_value)