Homework: pg. 500 #41, 42, 47, )a. Mean is 31 seconds.

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Homework: pg. 500 #41, 42, 47, 52 41.)a. Mean is 31 seconds. No. The mean is not affected by the standard deviation The standard deviation is 4.4721 seconds 42.) a. Normal, with a mean of 350 and a standard deviation of 3.7537. b. .8172

47.) A. mean=550; standard deviation=5.7009 B. mean=550-550=0; standard deviation=5.7009 (stays the same) mean=9/5*550+32=1022; standard deviation=9/5*(5.7009)=10.2616 52.) The distribution is Normal, with a mean of 0 and standard deviation of 2.8284. The Prob. that the scores differ by more than 5 points is 0.0771.