Review the Payment Time Case Study and Data Set.
(Attached is the Report – Please re-write the report in your own words and write the conclusion)
Develop a ~700-word report including the following calculations and using the information to determine whether the new billing system has reduced the mean bill payment time:
- Assuming the standard deviation of the payment times for all payments is 4.2 days, construct a 95% confidence interval estimate to determine whether the new billing system was effective. State the interpretation of 95% confidence interval and state whether or not the billing system was effective.
- Using the 95% confidence interval, can we be 95% confident that Âµ â‰¤ 19.5 days?
- Using the 99% confidence interval, can we be 99% confident that Âµ â‰¤ 19.5 days?
- If the population mean payment time is 19.5 days, what is the probability of observing a sample mean payment time of 65 invoices less than or equal to 18.1077 days?
Format your assignment consistent with a managerial report.
Note: pay special attention to your reporting, even of an excel sheet. Treat it as a report you are submitting to a coleague or supervisor who is infinitely ignorant and infinitly intelligent. Do not let the reader “pick and choose” the relevant parts. Include only what is relevant, in a crystal clear fashion.