### Table 9.3**Total cholesterol in 25 patients after taking a new statin drug. Population mean is 200.**| | Cholesterol levels ||-------|-------------------- || **1** | 219 || **2** | 264 || **3** | 152 || **4** | 230 || **5** | 102 || **6** | 191 || **7** | 248 || **8** | 148 || **9** | 181 || **10**| 249 || **11**| 198 || **12**| 182 || **13**| 145 || **14**| 180 || **15**| 282 || **16**| 214 || **17**| 235 || **18**| 189 || **19**| 100 || **20**| 188 || **21**| 163 || **22**| 209 || **23**| 213 || **24**| 219 || **25**| 264 |---#### Questions and Tasks**b. Describe the effects of the statin drug on your sample. Do you see any change in the level of cholesterol after taking the drug?****c. What is your research question? What are the null and alternative hypotheses? Decide if you want to do a one-tailed or two-tailed test.****d. What test? Perform it? What is your critical value?****e. Sketch a normal distribution and draw the critical value or values of z.****f. What is your conclusion?**### Explanation of Key Components:- **Table 9.3** presents the cholesterol levels of 25 different patients after they have taken a new statin drug.- The mean cholesterol level of the population before taking the drug is noted to be 200.### Analysis Guidance:- For question **b**, compare the provided cholesterol levels with the population mean of 200 to infer the drug’s effectiveness.- For question **c**, define a clear research question such as "Does the new statin drug significantly reduce cholesterol levels?". The null hypothesis (H0) could be "The statin

Name: ### Table 9.3**Total cholesterol in 25 patients after taking a new st
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Description: ### Table 9.3**Total cholesterol in 25 patients after taking a new statin drug. Population mean is 200.**| | Cholesterol levels ||-------|-------------------- || **1** | 219 || **2** | 264 || **3** | 152

Use the given data to form the excel table: x (x- u) (x - u)2 219 20.4…

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Statistics

Table 9.3 Total cholesterol in 25 patients after taking new statin drug. .. Population mean is 200. Cholesterol levels 219 191 198 214 163 264 248 182 235 209 152 148 145 189 213 230 181 180 100 219 102 249 282 188 264 b. Describe the effects of the statin drug on your sample. Do you see any change in the level of cholesterol after taking the drug? c. What is your research question? What are the null and alternative hypotheses? Decide if you want to do a one-tailed or two-tailed test.

Table 9.3 Total cholesterol in 25 patients after taking new statin drug. .. Population mean is 200. Cholesterol levels 219 191 198 214 163 264 248 182 235 209 152 148 145 189 213 230 181 180 100 219 102 249 282 188 264 b. Describe the effects of the statin drug on your sample. Do you see any change in the level of cholesterol after taking the drug? c. What is your research question? What are the null and alternative hypotheses? Decide if you want to do a one-tailed or two-tailed test.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

Topic Video

Question

### Table 9.3
**Total cholesterol in 25 patients after taking a new statin drug. Population mean is 200.**

| | Cholesterol levels |
|-------|-------------------- |
| **1** | 219 |
| **2** | 264 |
| **3** | 152 |
| **4** | 230 |
| **5** | 102 |
| **6** | 191 |
| **7** | 248 |
| **8** | 148 |
| **9** | 181 |
| **10**| 249 |
| **11**| 198 |
| **12**| 182 |
| **13**| 145 |
| **14**| 180 |
| **15**| 282 |
| **16**| 214 |
| **17**| 235 |
| **18**| 189 |
| **19**| 100 |
| **20**| 188 |
| **21**| 163 |
| **22**| 209 |
| **23**| 213 |
| **24**| 219 |
| **25**| 264 |

---

#### Questions and Tasks
**b. Describe the effects of the statin drug on your sample. Do you see any change in the level of cholesterol after taking the drug?**

**c. What is your research question? What are the null and alternative hypotheses? Decide if you want to do a one-tailed or two-tailed test.**

**d. What test? Perform it? What is your critical value?**

**e. Sketch a normal distribution and draw the critical value or values of z.**

**f. What is your conclusion?**

### Explanation of Key Components:
- **Table 9.3** presents the cholesterol levels of 25 different patients after they have taken a new statin drug.
- The mean cholesterol level of the population before taking the drug is noted to be 200.

### Analysis Guidance:
- For question **b**, compare the provided cholesterol levels with the population mean of 200 to infer the drug’s effectiveness.
- For question **c**, define a clear research question such as "Does the new statin drug significantly reduce cholesterol levels?". The null hypothesis (H0) could be "The statin

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