8. Cheap plastic children's dice are made by pressing divots in the die faces causing the dice to be unbalanced, e.g. the side with a 6 will be light and the side with a 1 will be heavy. To test this claim, dice were rolled 180 times and the observed frequencies of 1-6 were found to be 30, 32, 22, 34, 39, 23. (The data are in worksheet 9.8.) Test the observed frequencies to see if they are consistent with the null hypothesis Ho: The dice are balanced versus HA: The dice are unbalanced by: a. Manual calculate the x² statistic and compare it to the appropriate critical value. b. Confirm your answer to part a using MINITAB Stat> Tables> Chi-square Goodness of Fit Test (One Variable).

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8. Cheap plastic children's dice are made by pressing divots in the die faces causing the dice to be
unbalanced, e.g. the side with a 6 will be light and the side with a 1 will be heavy. To test this claim,
dice were rolled 180 times and the observed frequencies of 1-6 were found to be 30, 32, 22, 34, 39,
23. (The data are in worksheet 9.8.) Test the observed frequencies to see if they are consistent with the
null hypothesis Ho: The dice are balanced versus HA: The dice are unbalanced by:
a. Manual calculate the x² statistic and compare it to the appropriate critical value.
b. Confirm your answer to part a using MINITAB Stat> Tables> Chi-square Goodness of Fit Test
(One Variable).
Transcribed Image Text:8. Cheap plastic children's dice are made by pressing divots in the die faces causing the dice to be unbalanced, e.g. the side with a 6 will be light and the side with a 1 will be heavy. To test this claim, dice were rolled 180 times and the observed frequencies of 1-6 were found to be 30, 32, 22, 34, 39, 23. (The data are in worksheet 9.8.) Test the observed frequencies to see if they are consistent with the null hypothesis Ho: The dice are balanced versus HA: The dice are unbalanced by: a. Manual calculate the x² statistic and compare it to the appropriate critical value. b. Confirm your answer to part a using MINITAB Stat> Tables> Chi-square Goodness of Fit Test (One Variable).
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