A population has a mean of50and a standard deviation of18. If a random sample of36is taken, what is the probability that the sample mean is each of the following?

a.Greater than51

b.Less than53

c.Less than46

d.Between48.5and53.5

e.Between50.6and51.5

Appendix A Statistical Tables

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

a.P(x>51)

=

enter probability rounded to 4 decimal places

b.P(x<53)

=

enter probability rounded to 4 decimal places

c.P(x<46)

=

enter probability rounded to 4 decimal places

d.P(48.5x53.5)

=

enter probability rounded to 4 decimal places

e.P(50.6x51.5)

=

enter probability rounded to 4 decimal places