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In: Statistics and Probability

#1 A series of tests of fire prevention sprinkler systems that use a foaming agent to...

#1 A series of tests of fire prevention sprinkler systems that use a foaming agent to quell the fire were performed to determine how long it took (in seconds) for the sprinklers to be activated after the detection of a fire by the system. The system has been designed so that the true average activation time is supposed to be at most 25 seconds. Do the data strongly indicate that the design specifications have not been met? The data for the test are given below: 27 41 22 27 23 35 30 33 24 27 28 22 24

#7 A dairy produces milk with an average of 18.24 grams of fat in each quart. The dairy supervisor hypothesizes that skinny cows will produce milk with less fat. After 26 quarts of milk are randomly selected from 26 different skinny cows, the fat content is measured with a resulting average of 17.98 grams per quart and a standard deviation of 1.16 grams per quart. At the a = .01 significance level, test the supervisor's hypothesis.

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