1. Find the critical valus in the following situations: i the lollowing sitionis

Question

1. Find the critical valus in the following situations: i the lollowing sitionis (a) Z-test, right tail, level of significance 11% (b) Z-test, left tail, ·002 (c) Z-test, two tail. level of 8ignificanoe 19% (d) T-test, right (e) T-test, left tail, level of significance 5% degree of frodom-8 (f) T-test, two tail, level of significanor, 20% degree of freedom 22 (g) P-test, right tail, level of significance 7.5% (h) P-test, left tail, level of significane 3% tail, .005n 30 i) P-test, two tail, -.05

Explanation / Answer

The critical values here are computed as:

a) From the standard normal tables, we get:

P( Z > 1.227 ) = 0.11

Therefore 1.227 is the critical value here.

b) From the standard normal tables, we get:

P( Z < -2.878 ) = 0.002

Therefore -2.878 is the critical value here.

c) From the standard normal tables, we get:

P( -1.311 < Z < 1.311 ) = 0.81

Therefore -1.311, 1.311 are the critical values here.

d) For n-1 = 29 degrees of freedom, we get from the t-distribution tables that:

P(t29 > 2.756) = 0.005

Therefore 2.756 is the critical value required here.

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