8) The table below shows the weights of seven subjects before and after following a particular diet for two months.

Subject A B C D E F G

Before 157 160 156 183 190 157 161

After 150 151 154 188 176 159 149

Using a 0.01 level of significance, test the claim that the diet is effective in reducing weight. Identify the null hypothesis, alternative hypothesis, test statistic, critical value(s), P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Assume that two dependent samples have been randomly selected from normally distributed populations.

13) You roll a die 48 times with the following results.

Die Roll 1 2 3 4 5 6

Frequency 14 4 2 1 12 15

Use a significance level of 0.05 to test the claim that the die is fair. Identify the null hypothesis, alternative hypothesis, test statistic, critical value(s), P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim.

14) Use the sample data below to test whether car color affects the likelihood of being in an accident. Use a significance level of 0.01. Test the claim that in the given contingency table, the row variable and the column variable are independent.** **Identify the null hypothesis, alternative hypothesis, test statistic, critical value(s), P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim.

Red Blue White

Car has been in an accident 28 33 36

Car has not been in an accident 23 22 30

15) The data below represent the weight losses for people on three different exercise programs. Test the claim that the samples come from populations with the same mean. Assume that the populations are normally distributed with the same variance. ** **At the 1% significance level, does it appear that a difference exists in the true mean weight loss produced by the three exercise programs? Identify the null hypothesis, alternative hypothesis, test statistic, critical value(s), P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. ** **

Exercise A Exercise B Exercise C

2.5 5.8 4.3

8.8 4.9 6.2

7.3 1.1 5.8

9.8 7.8 8.1

5.1 1.2 7.9

Subject | Mathematics |

Due By (Pacific Time) | 04/25/2013 07:30 pm |

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