If we were to continue sampling every possible sample of size The average time spent by construction workers who work on the weekends is 7.9 hours. Assume the distribution of weekend work time is approximately normal with a standard deviation of 0.8 hours.

a. Find the probability that an individual who works at that trade works fewer that 8 hours on the week- end. Now a sample of 40 construction workers is randomly selected and we wish to determine the proba- bility that the mean of the sample will be less than 8 hours.
b. Draw a normal distribution curve and shade the area corresponding to the situation.
c. Find the probability that the mean of the sample will be less than 8 hours.