Dice After getting trounced by your little brother in achildren’s game, you suspect the die he gave you to rollmay be unfair. To check, you roll it 60 times, recording the number of times each face ap-pears. Do these results cast doubt on the die’s fairness?a) If the die is fair, how many timeswould you expect each face toshow?b) To see if these results are unusual, will you test goodness-of-fit, homo-geneity, or independence?c) State your hypotheses.d) Check the conditions.e) How many degrees of freedom are there?f) Find x2and the P-value.g) State your conclusion.

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A: See solution below

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