An advertisement for Jewel, a supermarket chain in Chicago, claims that Jewel has had consistently lower prices than Dominic. As part of a survey conducted by an "independent market basket pricechecking company", the average weekly total, based on the prices of approximately 95 items, is given for two different supermarket chains recorded during 4 consecutive weeks in a particular month.
Week Jewel Dominic
1 264.40 266.17
2 250.76 265.79
3 242.04 265.26
4 244.27 271.32
Is there a significant difference in the average prices for these two different supermarket chains? Test at α = 0.05