We are interested in comparing the average supermarket prices of two leading colas in the Tampa area. Our sample was taken by randomly going to each of eight supermarkets and recording the price of a six-pack of cola of each brand. The data are shown in the following table with the summary data below. Find a 98% confidence interval for the difference in mean price of brand 1 and brand 2. Assume that the paired data came from a population that is normally distributed. Round to four decimal places.

x1=2.3125,

s1=0.1007,

x2=2.3500,

s2=0.0859,

d=0.0375,

sd=0.0381

Supermarket	Brand1	Brand2	Difference
1	$2.25	$2.30	$0.05
2	2.47	2.45	0.02
3	2.38	2.44	0.06
4	2.27	2.29	0.02
5	2.15	2.25	0.10
6	2.25	2.25	0.00
7	2.36	2.42	0.06
8	2.37	2.40	0.03