# Statistics

**gcortez47**

Eleven employees were put under the care of the company nurse because of high cholesterol readings. The nurse lectured them on the dangers of this condition and put them on a new diet. Shown are the cholesterol readings of the 11 employees both before the new diet and one month after use of the diet began. At 5% level of significance, test the claim that the new diet is effective in lowering cholesterol. Assume differences in cholesterol readings are normally distributed in the population.

Employee Before After

1 255 197

2 230 225

3 290 215

4 242 215

5 300 240

6 250 235

7 215 190

8 230 240

9 225 200

10 219 203

11 236 223

**EXPECTATIONS**

- Draw graphs and charts when appropriate and necessary to demonstrate your reasoning! Label all graphs and charts!

- Display formulas. Write complete sentences to summarize your conclusions.

- If use any table values, clearly state which tables you used (e.g. Table A-2, etc.).

-Attach excel output when appropriate or necessary (e.g. a scatterplot, etc.)

**HYPOTHESIS TESTING QUESTIONS**

Your work for all statistical hypothesis testing questions should include the following:

1. Established Ho and Ha.

2. Summary statistics (either computed or given in the problem)

3. The name of the test (e.g. 2sampleTtest or T-test about correlation, etc.)

4. A formula to compute a test statistic (e.g. 1Prop-Z test statistic, etc.)

5. A p-value of the test and/or a critical value from a statistical table.

6. Clearly state the decision rule you use the reach a conclusion. (You may have to sketch a graph to show rejection regions.) Do you “Reject Ho” or do you “Fail to Reject Ho”?

7. State your conclusion in plain language. Use complete sentences.

- 9 years ago
- 3

**Answer(2)**

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