Topic
Payment Time Case
Instructions
The purpose of the assignment is to develop students’ abilities in using datasets to apply the concepts of sampling distributions and confidence intervals to make management decisions.
Assignment Steps
Resources: Microsoft Excel®, The Payment Time Case Study, The Payment Time Case Data Set
Review the Payment Time Case Study and Data Set.
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 µ ≤ 19.5 days?
- Using the 99% confidence interval, can we be 99% confident that µ ≤ 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 APA format.
Answer preview
In the endeavour to improve billing services the firm want to know if the new automated system is effective. For it to be effective the number of billing days should be less than 19.5. In the case study we are given the standard deviation of all payments to be 4.2 hence we should construct 95% confidence interval to estimate the systems effectiveness. We need to know mean of the sample, standard error of the mean, Z-score and sample size in order to come up with the confidence level.
Word count: 646