Your retail consultant is advising you on the best chips to keep near the checkout area. They claim that at the checkout area, for a store your size, Doritos outsell Cheetos by 40 bags a day or more. You wish to provide evidence to support this claim, using (Doritos minus Cheetos) for your hypothesis test. You take a random sample of 60 days with Doritos by the counter, finding average daily sales of 350 bags with a standard deviation of 120 bags. You take a random sample of 80 days with Cheetos by the counter, finding average daily sales of 280 bags with a standard deviation of 100 bags. At the 5% significance level, what is the upper bound of the correct confidence interval used in your hypothesis test? Please round to 2 decimal places. At the 5% significance level, can you provide evidence to support the consultant's claim? Please answer Yes or No. Yes means you can reject the null and support the consultant's claim. No means you do not have enough data to reject the null and thus cannot support the consultant's claim.
