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# Homework for Statistics Lesson 14

 `Answer Completely.` `Some calculations are required.` `Due Thu., Aug. 4, 2005, 10:30:00.000, EDT.` `Due on the teacher's desk in BH114.`
1. (5 points) Brian Small rolled a dice 1002 times and obtained the following results. Help him determine if the dice is fair by doing a chi square goodness of fit. Be sure to indicate your test statistic, tails, degrees of freedom, and critical test statistic.

Pips: 1 2 3 4 5 181 155 141 162 153 210 167 167 167 167 167 167

2. (2 bonus points) Indicate the value of any standardized residuals which are significant in problem 1.

3. (5 points) Susie Giavan got tired of rolling her die and made up the following data. Help her teacher test for data fabrication by doing a chi-square goodness of fit. Be sure to indicate all four steps and values in testing this hypothesis.

Pips: 1 2 3 4 5 147 157 167 162 172 195 167 167 167 167 167 167

4. (5 bonus points) Hinkle, page 571, Chapter 21, Exercise 14.

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