Question: An information technology (IT) consulting firm specializing in healthcare solutions wants to study communication deficiencies in the health care industry. A random sample of 70 health care clinicians reveals a mean time wasted in a day due to outdated communication technologies is 45 minutes with a standard deviation of 10 minutes.
Construct a 99% confidence interval estimate for the population mean time wasted in a day due to outdated communication technologies. What is the margin of error?
Answers should be accurate up to 4 decimal places.