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Mathematics 341 - Fall 2013

Problem Set # 3

This set of problems is due at the beginning of class, Friday, 22 February.

Note: You do not have to show the R commands you use to solve the following problems. However, you do need to print out any graphical results, and label them appropriately. Moreover, for any hypothesis test, you must state the null hypothesis you are testing, define all parameters or random variables that you use, state the p-value for the test, and state what conclusion you may draw from the test.

Problems from Chapter 4: 4.9, 4.15, 4.40, 4.42

And: 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?