Can someone please help walk me through how I complete this graph? **Constructing a Confidence Interval for Population Mean**To determine the time needed to complete tax forms, an accounting firm conducts a random survey of 100 people. The sample mean time is 22.5 hours with a known population standard deviation of 6.6 hours. Assume the population is normally distributed.### Steps to Construct a 90% Confidence Interval:**1. State the Confidence Interval:** - Calculate the interval using the formula for a confidence interval: \[ \text{Confidence Interval} = \bar{x} \pm z \times \left(\frac{\sigma}{\sqrt{n}}\right) \]**2. Sketch the Graph:** - The graph is a standard normal distribution curve: - **Center:** \(\bar{x}\) (sample mean) - **Alpha (\(\alpha\)):** The level of significance, which determines the endpoints for a 90% confidence interval. - **\(\alpha/2\):** Areas in the tails of the distribution.**3. Calculate the Error Bound:** - Use the formula for the error bound: \[ \text{Error Bound} = z \times \left(\frac{\sigma}{\sqrt{n}}\right) \] - **Z value** at 90% confidence level can be obtained from the z-table.### Key Parameters:- **Sample Size (\(n\)):** 100- **Sample Mean (\(\bar{x}\)):** 22.5 hours- **Population Standard Deviation (\(\sigma\)):** 6.6 hours- **Confidence Level (C.L.):** 90%By following these steps, you can determine the range within which the true mean time to complete the tax forms is likely to fall, with 90% confidence.

Name: Can someone please help walk me through how I complete this graph? **C
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: Can someone please help walk me through how I complete this graph? **Constructing a Confidence Interval for Population Mean**To determine the time needed to complete tax forms, an accounting firm conducts a random survey of 100 people. The sample mea