It is known that the overall job satisfaction (score range 0-10) of professors follows a normal distribution. The job satisfaction of 16 SUNY professor shows blow using a histogram.1) Calculate the 95% CI to estimate the average job satisfaction level of the professor population and interpret the 95% CI.2) List two ways that you could use to get a narrower confidence level. Which way is better? Why? This image displays a histogram, which is a type of bar graph used to represent the distribution of a dataset. **Histogram Details:**- **X-Axis:** The horizontal axis represents data categories or intervals labeled as 2, 4, 6, 8.- **Y-Axis:** The vertical axis measures frequency, ranging from 0 to 6. **Bar Analysis:**1. **Interval 0-2:** - Frequency: 12. **Interval 2-4:** - Frequency: 1 3. **Interval 4-6:** - Frequency: 24. **Interval 6-8:** - Frequency: 65. **Interval 8-10:** - Frequency: 3The histogram illustrates that the highest frequency occurs at the 6-8 interval. This graph helps visualize how data is distributed across various intervals, highlighting patterns such as skewness or central tendency in the dataset.

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It is known that the overall job satisfaction (score range 0-10) of professors follows a normal distribution. The job satisfaction of 16 SUNY professor shows blow using a histogram.

1) Calculate the 95% CI to estimate the average job satisfaction level of the professor population and interpret the 95% CI.

2) List two ways that you could use to get a narrower confidence level. Which way is better? Why?

This image displays a histogram, which is a type of bar graph used to represent the distribution of a dataset.

**Histogram Details:**

- **X-Axis:** The horizontal axis represents data categories or intervals labeled as 2, 4, 6, 8.
- **Y-Axis:** The vertical axis measures frequency, ranging from 0 to 6.

**Bar Analysis:**

1. **Interval 0-2:**
- Frequency: 1

2. **Interval 2-4:**
- Frequency: 1

3. **Interval 4-6:**
- Frequency: 2

4. **Interval 6-8:**
- Frequency: 6

5. **Interval 8-10:**
- Frequency: 3

The histogram illustrates that the highest frequency occurs at the 6-8 interval. This graph helps visualize how data is distributed across various intervals, highlighting patterns such as skewness or central tendency in the dataset.

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