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

Two spray paint machines are used to paint different portions of a large wall. the first machine (nicknamed "paint pro") is used for two hours. the second machine (nicknamed "goldilocks") is used for an hour and a half. when they are working at the same time, they can paint 55 square feet per minute. together they painted 5850 square feet of wall. how many square feet of wall per minute can each machine paint? e used to paint different portions of a large wall. the first machine (nicknamed "paint pro") is used for two hours. the second machine (nicknamed "goldilocks") is used for an hour and a half. when they are working at the same time, they can paint 55 square feet per minute. together they painted 5850 square feet of wall. how many square feet of wall per minute can each machine paint?