You will perform two non-parametric tests. For each hypothesis test make sure to report the following steps: Identify why you choose to perform the...

Conduct two non-parametric tests. For each hypothesis test make sure to report the following steps:

1. Identify why you choose to perform the statistical test (Sign test, Wilcoxon test, Kruskal-Wallis test).

2. Identify the null hypothesis, Ho, and the alternative hypothesis, Ha.

3. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed.

4. Find the critical value(s) and identify the rejection region(s).

5. Find the appropriate standardized test statistic. If convenient, use technology.

6. Decide whether to reject or fail to reject the null hypothesis.

7. Interpret the decision in the context of the original claim               

A real estate agent surmises that the median rent for a one-bedroom apartment in a beach community in southern California is at least $1500 per month. The rents for a random sample of 15 one-bedroom apartments are listed below. Perform a Sign test to test the agent's claim. Use α = 0.01.

 $1800 $1750 $1200 $1375 $1235 $2250 $1675 $1170

$1890 $2500 $1495 $1500 $1575 $1500 $1280

2. A weight-lifting coach claims that weight-lifters can increase their strength by taking vitamin E. To test the theory, the coach randomly selects 9 athletes and gives them a strength test using a bench press. Thirty days later, after regular training supplemented by vitamin E, they are tested again. The results are listed below. Use the Wilcoxon signed-rank test to test the claim that the vitamin E supplement is effective in increasing athletes' strength. Use α = 0.05.

Athlete 1 2 3 4 5 6 7 8 9

Before 185 241 251 187 216 210 204 219 183

After 195 246 251 185 223 225 209 214 188