**Name: ** __
__ **Score: **
__ __

Answer Completely. |
Some calculations are required. |

Due Thu., Aug. 4, 2005, 10:30:00.000, EDT. |
Due on the teacher's desk in BH114. |

- (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 6 Observed 181 155 141 162 153 210 Expected 167 167 167 167 167 167 (Obs-Exp) (O-E) ^{2}(O-E) ^{2}/E - (2 bonus points) Indicate the value of any standardized
residuals which are significant in problem 1.
- (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 6 Observed 147 157 167 162 172 195 Expected 167 167 167 167 167 167 (Obs-Exp) (O-E) ^{2}(O-E) ^{2}/E - (5 bonus points) Hinkle, page 571, Chapter 21, Exercise 14.

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- e-mail: calkins@andrews.edu
- voice/mail: 269 471-6629/ BCM&S Smith Hall 106; Andrews University; Berrien Springs,
**classroom:**269 471-6646; Smith Hall 100/**FAX:**269 471-3713; MI, 49104-0140- home: 269 473-2572; 610 N. Main St.; Berrien Springs, MI 49103-1013
- URL: http://www.andrews.edu/~calkins/math/edrm611/edrm14hw.htm
- Copyright ©2005, Keith G. Calkins. Revised on or after Aug. 2, 2005.