Question

a.Two​-tailed ​test, α=0.07

The critical​ value(s) is/are z= ______

​(Round to two decimal places as needed. Use a comma to separate answers as ​needed.)

b. Right​-tailed ​test, α=0.10, n=6

The critical​ value(s) is/are _____

​(Round to the nearest thousandth as needed. Use a comma to separate answers as needed.)

c. TwoTwo​-tailed ​test, α=0.10​, n=28

The critical​ value(s) is/are ______

​(Round to the nearest thousandth as needed. Use a comma to separate answers as​needed.)

Answer 1

a) two-tailed test

α=0.07

for two-tailed test , there will we two critical values

area in each tail beyond the critical values = α/2 = 0.07/2 = 0.035

using the standard normal probability table ,

critical values for test statistic are, -z_0.035 = -1.81 and z_0.035 = 1.81

b) Right​-tailed ​test, α=0.10, n=6

1- α = 1-0.10 = 0.90

critical value corresponding to the area calculated above = z = 1.28

c)

α=0.10

area in each tail beyond the critical values = α/2 = 0.10/2 = 0.05

using the standard normal probability table ,

critical values for test statistic are, -z_0.05 = -1.65 and z_0.05 = 1.65