The randNorm function in the TI-83 was used to generate the following 50 numbers with a mean of 75 and standard deviation of 5. Use the empirical rule, a histogram, and a normal quantile plot to determine if this data could have come from a normal distribution. Explain clearly how each of these tools provide evidence for your conclusion. The data:
66, 66, 67, 68, 68, 68, 70, 70, 70, 71
71, 71, 72, 73, 73, 73, 73, 73, 74, 75
75, 75, 76, 76, 76, 77, 77, 77, 77, 77
77, 77, 78, 78, 78, 78, 78, 79, 79, 79
80, 81, 81, 82, 82, 84, 84, 84, 85, 86