=====Mathematics 341 - Spring 2013=====

====Homework====

**Chapter 4**

Exercises: 4.39, 4.40, 4.42, 4.44, 4.48, 4.49

Also:

   - When working properly, a cereal packaging machine is supposed to place 16 ounces of cereal in each box. A random sample of 10 boxes gave the following weights: 15.3, 16.1, 16.3, 15.2, 15.6, 16.4, 15.9, 15.0, 14.8, 15.1. Assuming the data are from a normal distribution, state appropriate hypotheses and perform the appropriate test. What can we conclude?
   - Female killdeers usually lay four eggs each spring. It is suspected that the average weight of the first-hatched birds will exceed the average weight of the last-hatched birds. Suppose that in eight broods, the following differences (first-hatched minus last-hatched) in weights are observed: 0.02, -0.10, 0.06, 0.23, 0.14, 0.14, -0.04, 0.29. Assume the date are from a normal distribution. Does the data support the hypothesis that there is a difference between the average weights? State the hypotheses, perform the test, and state your conclusion.
   - R. A. Fisher investigated the results of testing two sleeping drugs on ten patients.The additional hours of sleep obtained from drug A instead of drug B were reported to be: 1.2, 2.4, 1.3, 1.3, 0.0, 1.0, 1.8, 0.8, 4.6, 1.3. Assume the data are from a normal distribution. Test the hypothesis that the mean number of additonal hours of sleep is 0. Again, clearly state your hypotheses, perform the test, and state you conclusion.