The mean of a population is73and the standard deviation is13. The shape of the population is unknown. Determine the probability of each of the following occurring from this population.

Appendix A Statistical Tables

a.A random sample of size36yielding a sample mean of74or more

b.A random sample of size130yielding a sample mean of between71and74

c.A random sample of size221yielding a sample mean of less than73.4

(Round all the values of z to 2 decimal places, e.g. 15.25 and final answers to 4 decimal places, e.g. 0.2513.)

a.

enter probability rounded to 4 decimal places

b.

enter probability rounded to 4 decimal places

c.

enter probability rounded to 4 decimal places