Dice After getting trounced by your little brother in a childrens game, you suspect the

Chapter 25, Problem 3

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Dice After getting trounced by your little brother in a childrens game, you suspect the die he gave you to roll may be unfair. To check, you roll it 60 times, recording the number of times each face appears. Do these results cast doubt on the dies fairness? a) If the die is fair, how many times would you expect each face to show? b) To see if these results are unusual, will you test goodness-of-fit, homogeneity, or independence? c) State your hypotheses. d) Check the conditions. e) How many degrees of freedom are there? f) Find x2 and the P-value. g) State your conclusion.

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