Use the following data set: 40, 33, 77, 12, 23, 56, 23, 19, 29 (minutes). Assume the data is approximately bell shaped and a sample. **d) Create a 99% Confidence Interval for the Mean**To create a 99% confidence interval for the mean, you'll need to use the following elements:1. **Critical Value**: The critical value for a 99% confidence interval can be found using a standard normal distribution (Z-distribution). The Z-value for a 99% confidence interval is approximately 2.576.2. **Standard Error (SE)**: Calculate the standard error using the formula: \[ SE = \frac{\sigma}{\sqrt{n}} \] where \(\sigma = 23.8\) and \(n\) is the sample size.3. **Confidence Interval Formula**: The formula for the confidence interval is: \[ \bar{x} \pm (Z \times SE) \] where \(\bar{x}\) is the sample mean.**Sketch Explanation**The sketch should include a normal distribution curve with the mean (\(\bar{x}\)) at the center. On the horizontal axis, mark points corresponding to \(\bar{x} - (2.576 \times SE)\) for the lower bound and \(\bar{x} + (2.576 \times SE)\) for the upper bound of the confidence interval. The area under the curve between these two points represents the 99% confidence interval.

Name: Use the following data set: 40, 33, 77, 12, 23, 56, 23, 19, 29 (minute
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: Use the following data set: 40, 33, 77, 12, 23, 56, 23, 19, 29 (minutes). Assume the data is approximately bell shaped and a sample. **d) Create a 99% Confidence Interval for the Mean**To create a 99% confidence interval for the mean, you'll need to