Cholesterol level ~ Cholesterol level tends to increase with age in both women and men. A medical researcher wants to use statistical inference to determine if average cholesterol level for women over 60 years is lower than men over 60 years. She randomly samples 110 women and 120 men who are over 60 years. The summary statistics are given in the table below in mg/dL. Population/Group Gender Mean cholesterol level Standard deviation 1 Women 196.9 39.8 2 Men 205.4 41.9 The medical researcher uses an appropriate hypothesis test. What is the test statistic for this hypothesis test? Give your answer to 4 decimal places.

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### Cholesterol Level and Age Study

#### Cholesterol Level Overview
Cholesterol level tends to increase with age in both women and men. A medical researcher is investigating whether the average cholesterol level for women over 60 years is lower than that of men over 60 years. The researcher uses statistical inference by taking random samples: 110 women and 120 men who are over 60 years old. The summary statistics from these samples are as follows:

| Population/Group | Gender | Mean Cholesterol Level (mg/dL) | Standard Deviation (mg/dL) |
|------------------|--------|-------------------------------|----------------------------|
| 1                | Women  | 196.9                         | 39.8                       |
| 2                | Men    | 205.4                         | 41.9                       |

#### Analysis Method
The medical researcher uses an appropriate hypothesis test to compare the cholesterol levels.

#### Hypothesis Test Inquiry
What is the test statistic for this hypothesis test? Provide your answer to 4 decimal places.

**Your Answer:** 
```
[                           ]
```
Transcribed Image Text:### Cholesterol Level and Age Study #### Cholesterol Level Overview Cholesterol level tends to increase with age in both women and men. A medical researcher is investigating whether the average cholesterol level for women over 60 years is lower than that of men over 60 years. The researcher uses statistical inference by taking random samples: 110 women and 120 men who are over 60 years old. The summary statistics from these samples are as follows: | Population/Group | Gender | Mean Cholesterol Level (mg/dL) | Standard Deviation (mg/dL) | |------------------|--------|-------------------------------|----------------------------| | 1 | Women | 196.9 | 39.8 | | 2 | Men | 205.4 | 41.9 | #### Analysis Method The medical researcher uses an appropriate hypothesis test to compare the cholesterol levels. #### Hypothesis Test Inquiry What is the test statistic for this hypothesis test? Provide your answer to 4 decimal places. **Your Answer:** ``` [ ] ```
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