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Assume that all samples are random. 1 You clock 27 of Caruthers' fastballs, obtaining a mean of 118.7 mph, with a standard deviation of 2.2

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Assume that all samples are random. 1 You "clock" 27 of Caruthers' fastballs, obtaining a mean of 118.7 mph, with a standard deviation of 2.2 mph. To a 1% level of significance, can it be asserted that the average Caruthers fastball (in general) is over 115 mph? [Assume that the "speeds" of all of Caruthers' fastballs are normally distributed.]

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