A researcher claims that the average age of people who purchase lottery tickets is 64. A sample of 30 is chose and their ages are recorded as shown below. The standard deviation is 7. At the = 0.05 is there enough evidence to reject the researcher's claim? Show all work.
49 63 80 52 22 80 72 56 70 56
24 46 70 74 70 61 65 71 39 74
79 76 71 49 62 68 71 67 69 45