# Project #5008 - Statistics

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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