Question: 1)The time spent studying by students in the week before final exams follows a normal distribution with a standard deviation of 8 hours. A random

1)The time spent studying by students in the week before final exams follows a normal distribution with a standard deviation of 8 hours. A random sample of 4 students was taken to estimate the mean study time for the population of all students.

a.what is the probability that the sample mean exceeds the population mean by more than 2 hours?

b.what is the probability that the sample mean is more than 3 hours below the population mean?

c.What is the probability that the sample mean differs from the population mean by less than 2 hours?

d.What is the probability that the sample mean differs from the population mean by more than 3 hours?

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