hw01_1211S08 - STATISTICS W1211 Spring 2008(Section 1...

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STATISTICS W1211 Spring 2008 (Section 1) Homework 1 - Due Fri Feb 8 at 4pm Note: Section 1 will NOT be graded. You can points simply by attempting the questions. The other sections will be graded. Section 1 (4 points each) 1. A sample of n = 10 cars was selected and each was subjected to a 5 mph crash test. Denoting a car with no visible damage by S (for success) and a car with visible damage by F, results are as follows: S F F S S S F F S S. (a) What is the value of the sample proportion of successes x/n ? (b) Replace each S with a 1 and each F with a 0. Then calculate ¯ x for this numerically coded sample. How does ¯ x compare to x/n ? (c) Suppose it is decided to include 15 more cars in the experiment. How many of these would have to be S’s to give x/n = 0 . 8 for the entire sample of 25 cars? 2. The following is data on oxygen consumption (mL/kg/min) for a sample of ten fire- fighters performing a fire-suppression simulation: 29.5 49.3 30.1 28.2 28.0 26.1 33.9 29.3 23.5 31.0. Compute the following: (a) Sample range (b) Sample variance s 2 from the definition (i.e. by first computing deviations, then
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