Calculate the upper confidence interval of the true population mean from the following data set using a 90% confidence level: Observation 1 3 4 5 16 7 18 19 DATA 1.46 2.26 9.35 8.99 8.05 2.92 9.09 2.13 1.98 3.56 5.21 10 11 (Round to the nearest hundredth; place your answer in the box below)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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**Calculating the Upper Confidence Interval**

This exercise involves calculating the upper confidence interval of the true population mean from a given data set using a 90% confidence level. The data is presented in a tabular format as follows:

| Observation | Data  |
|-------------|-------|
| 1           | 4.46  |
| 2           | 2.26  |
| 3           | 9.35  |
| 4           | 8.99  |
| 5           | 8.09  |
| 6           | 2.92  |
| 7           | 9.03  |
| 8           | 3.19  |
| 9           | 1.98  |
| 10          | 3.56  |
| 11          | 5.21  |

**Instruction:** Round your answer to the nearest hundredth and place your answer in the provided text box.

To submit your answer, click "Save and Submit."

The exercise is part of a statistical analysis section, typically involving steps such as:
1. Calculating the sample mean.
2. Determining the standard deviation.
3. Applying the formula for the confidence interval using the t-distribution for small sample sizes or the z-distribution for large ones.

Please ensure all calculations are performed accurately to achieve the correct upper interval value.
Transcribed Image Text:**Calculating the Upper Confidence Interval** This exercise involves calculating the upper confidence interval of the true population mean from a given data set using a 90% confidence level. The data is presented in a tabular format as follows: | Observation | Data | |-------------|-------| | 1 | 4.46 | | 2 | 2.26 | | 3 | 9.35 | | 4 | 8.99 | | 5 | 8.09 | | 6 | 2.92 | | 7 | 9.03 | | 8 | 3.19 | | 9 | 1.98 | | 10 | 3.56 | | 11 | 5.21 | **Instruction:** Round your answer to the nearest hundredth and place your answer in the provided text box. To submit your answer, click "Save and Submit." The exercise is part of a statistical analysis section, typically involving steps such as: 1. Calculating the sample mean. 2. Determining the standard deviation. 3. Applying the formula for the confidence interval using the t-distribution for small sample sizes or the z-distribution for large ones. Please ensure all calculations are performed accurately to achieve the correct upper interval value.
Expert Solution
Step 1: Information give is

1.46,2.26,9.35,8.99,8.05,2.92,9.09,2.13,1.98,3.56,5.21

sample size(n)=11

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