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Instructions For this discussion post, we are going to construct a confidence in

Instructions
For this discussion post, we are going to construct a confidence interval for the sample mean using the Z-distribution: 
We would like to create an interval to estimate the average recovery time for patients undergoing a new ACL tear recovery program. We sampled 45 patients who underwent this new recovery program and saw the average recovery time to be 285 days. If the population standard deviation can be assumed to be 100 days, compute the 90% confidence interval for the mean recovery time. 
Discussion Prompts
Answer the following questions in your initial post: 
The Z-distribution will be used to create the confidence interval for the mean. Why are we able to use this distribution for this problem?
Create your confidence interval and report what it is. 
The current ACL recovery program averages 320 days to fully recover. Based on the confidence interval you constructed, where does this value fall?
Based on the confidence interval, do you think we have enough evidence from a statistical standpoint to say the new procedure is significantly better than the current procedure? Why or why not?
Supporting Resources: https://www.youtube.com/watch?v=DT-fPG0Hff8Links to an external site. 

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