A population has a mean of50and a standard deviation of10. If a random sample of49is taken, what is the probability that the sample mean is each of the following?

a.Greater than52

b.Less than52

c.Less than47

d.Between46.5and54.5

e.Between50.5and51.6

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>52)

=

enter probability rounded to 4 decimal places

b.P(x<52)

=

enter probability rounded to 4 decimal places

c.P(x<47)

=

enter probability rounded to 4 decimal places

d.P(46.5x54.5)

=

enter probability rounded to 4 decimal places

e.P(50.5x51.6)

=

enter probability rounded to 4 decimal places