The time spent studying (in hours) for the final exam by students in a certain university has unknown mean µ and standard deviation 8 hours. A random sample of 4 students was taken to guess the mean...

Provide all necessary solutions to arrive at the needed answer for each problem. Do not forget to provide proper interpretations for resulting measures and/or tests conducted.

Extracted text: The time spent studying (in hours) for the final exam by students in a certain university has unknown mean µ and standard deviation 8 hours. A random sample of 4 students was taken to guess the mean study time of all students in the university. What is the (approximate) probability that the sample mean X differs from the population mean µ by less than 4 hours? That is, approximate P(|X – µ| < 4).="" (hint:="" recall="" that="">