The accompanying summary data on total cholesterol level (mmol/I) was obtained from a sample of Asian postmenopausal women who were vegans and another sample of such women who were omnivores. Diet Sample Size Sample Mean Sample SD Vegan 88 5.10 1.09 Omnivore 97 5.55 1.10 Calculate a 99% CI for the difference between population mean total cholesterol level for vegans and population mean total cholesterol level for omnivores. (Use Avegan Homnivore Round your answers to three decimal places.) (mmol/I) Enter a number. Interpret the interval. O We are 99% confident that the true average cholesterol level for vegans is greater than that of omnivores by an amount within the confidence interval. O We cannot draw a conclusion from the given information. O we are 99% confident that the true average cholesterol level for vegans is greater than that of omnivores by an amount outside the confidence interval. O we are 99% confident that the true average cholesterol level for vegans is less than that of omnivores by an amount within the confidence interval.

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**Cholesterol Levels in Vegan vs. Omnivore Diets for Asian Postmenopausal Women: A Study Summary**

This study presents summary data on total cholesterol levels (mmol/l) obtained from a sample of Asian postmenopausal women following vegan and omnivore diets. The data are as follows:

| Diet       | Sample Size | Sample Mean | Sample SD |
|------------|-------------|-------------|-----------|
| Vegan      | 88          | 5.10        | 1.09      |
| Omnivore   | 97          | 5.55        | 1.10      |

**Objective**: To calculate a 99% confidence interval (CI) for the difference between the population mean total cholesterol levels for vegans and omnivores. The calculated difference is based on the formula \(\mu_{\text{Vegan}} - \mu_{\text{Omnivore}}\), with the answer rounded to three decimal places.

\[ \text{Confidence Interval:} \quad (\,\_\_\,\quad \_\_\quad) \text{ (mmol/l)} \]

**Interpretation of the Interval**:

1. \( \bigcirc \) We are 99% confident that the true average cholesterol level for vegans is greater than that of omnivores by an amount within the confidence interval.

2. \( \bigcirc \) We cannot draw a conclusion from the given information.

3. \( \bigcirc \) We are 99% confident that the true average cholesterol level for vegans is greater than that of omnivores by an amount outside the confidence interval.

4. \( \dot{\bigcirc} \) We are 99% confident that the true average cholesterol level for vegans is less than that of omnivores by an amount within the confidence interval.

(Option 4 is selected as the interpretation of the data.)
Transcribed Image Text:**Cholesterol Levels in Vegan vs. Omnivore Diets for Asian Postmenopausal Women: A Study Summary** This study presents summary data on total cholesterol levels (mmol/l) obtained from a sample of Asian postmenopausal women following vegan and omnivore diets. The data are as follows: | Diet | Sample Size | Sample Mean | Sample SD | |------------|-------------|-------------|-----------| | Vegan | 88 | 5.10 | 1.09 | | Omnivore | 97 | 5.55 | 1.10 | **Objective**: To calculate a 99% confidence interval (CI) for the difference between the population mean total cholesterol levels for vegans and omnivores. The calculated difference is based on the formula \(\mu_{\text{Vegan}} - \mu_{\text{Omnivore}}\), with the answer rounded to three decimal places. \[ \text{Confidence Interval:} \quad (\,\_\_\,\quad \_\_\quad) \text{ (mmol/l)} \] **Interpretation of the Interval**: 1. \( \bigcirc \) We are 99% confident that the true average cholesterol level for vegans is greater than that of omnivores by an amount within the confidence interval. 2. \( \bigcirc \) We cannot draw a conclusion from the given information. 3. \( \bigcirc \) We are 99% confident that the true average cholesterol level for vegans is greater than that of omnivores by an amount outside the confidence interval. 4. \( \dot{\bigcirc} \) We are 99% confident that the true average cholesterol level for vegans is less than that of omnivores by an amount within the confidence interval. (Option 4 is selected as the interpretation of the data.)
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