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A personnel manager has found that, historically, the scores on aptitude tests given to applicants for...

A personnel manager has found that, historically, the scores on aptitude tests given to applicants for entry-level positions follow a normal distribution with standard deviation 22.91 points. A random sample of 16 test scores from the current group of applicants had a mean score of 74.02 points. Based on these sample results, a statistician found for the population mean a confidence interval extending from 65.0851 to 82.9549 points. Find the confidence level of this interval. Round off your answer to two decimal places.

I am trying to work through this solution in rstudio but am unsure how to go about it. I have worked through confidence interval problems where I find a confidence interval, but am having trouble figuring out how to work backwards from this.

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