[EX08-154] The manager at Air Express believes that the weights of packages shipped recently are less than those in the past. Records show that in the past, packages have had a mean weight of 36.5 lb and a standard deviation of 14.2 lb. A random sample of last month’s shipping records yielded the following 64 data values:

32.1 41.5 16.1 8.9 36.2 12.3 28.4 40.4 45.5 15.2 26.5 13.3 23.5 33.7 18.3 16.3 15.4 39.7 50.3 14.8 44.4 47.7 45.8 52.3 48.4 10.4 59.9 5.5 6.7 17.1 20.0 28.1 48.1 29.5 22.9 47.8 24.8 20.1 40.1 12.6 24.3 43.3 32.4 57.7 42.9 36.7 15.5 46.4 51.3 38.6 39.4 27.1 55.7 37.7 39.4 55.5 26.9 15.7 32.3 47.8 33.2 29.1 31.1 34.5 Is this sufficient evidence to reject the null hypothesis in favor of the manager’s claim? Use

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