1 z z 1 z2 0005 2575829 2326348 2170090 0020 2241403 0050 16

1

z

z 1

z/2

0.005

2.575829

2.326348

2.170090

0.020

2.241403

0.050

1.644854

0.200

0.250

0.7

0.600

0.750

0.900

0.990

Complete the table where the ’s are the tail probabilities of the standard normal

random variable.

	1	z	z 1	z/2
0.005		2.575829
			2.326348
		2.170090
0.020
				2.241403
0.050
				1.644854
0.200
0.250
	0.7
0.600
0.750
0.900
0.990

Solution

1 z z 1 z/2 0.005 0.995 2.575829 -2.57583 2.80703 0.99 0.01 2.326348 2.326348 0.01253 0.015 0.985 2.170090 -2.1709 2.43238 0.020 0.98 2.05375 -2.05375 0 1 0 0 2.241403 0.050 0.95 1.6449 -1.6449 1.96 0.0005 0.9995 3.2905 -3.2905 1.644854 0.200 0.8 0.8416 -0.8416 1.2816 0.250 0.75 0.6745 -0.6745 1.1503 0.3 0.7 0.5244 -0.5244 1.0364 0.600 0.4 0.25335 -0.2533 0.5244 0.750 0.25 0.67449 -0.67449 0.3186 0.900 0.1 1.28155 -1.28155 0.1257 0.990 0.01 2.30635 -2.30635 0.0125