Two dice were rolled forty times and then the sum of the two dice were calculated after
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Question:
Two dice were rolled forty times and then the sum of the two dice were calculated after each roll. Complete the following calculations.
Sums: 9, 8, 9, 8, 7, 4, 3, 7, 11, 9, 7, 6, 7, 10, 12, 6, 6, 4, 7, 5, 7, 7, 10, 7, 8, 8, 6, 8, 7, 11, 7, 6, 9, 9, 8,3, 10, 7, 8, 4
2. Find the null and alternative hypotheses.
3. Indicate the distribution that the sampling distribution of your sample mean follows, and justify your reasoning. In other words, will your test statistic follow a z distribution, a t distribution, or some other distribution, and how do you know?
4. Calculate your test statistic.
5. State the rejection region.
6. Compare the test statistic against the critical value for the rejection region, and state your conclusion.
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