The owner of a food store was concerned about her sales of a yogurt. To help boost sales, she decided to place the product on a different shelf. She kept track of sales (number of containers sold per week) for six months after she made the change. The values are in a stem-and-leaf display, along with the sales numbers for the six months prior to making the change. Do these results suggest that sales are better after the change? Test an appropriate hypothesis and state your conclusion. Be sure to check assumptions and conditions. Assume

alphaequals=0.05.

After Change Before Change 34 28 37 28 40 32 40 32 41 32 45 38 46 39 46 39 47 40 49 40 50 43 50 43 51 43 52 44 53 44 56 45 56 45 56 48 59 50 61 54 62 56 64 58 65 61

a)Find the test statistic. (If there is no smaller group, use the after group.)

b)What is the p-value