Question

Consider the hypotheses shown below. Given that x?=42 , ?=11 , n=31 , ?=0.01.

H0: ??39

H1: ?>39

A. What conclusion should be drawn (z-test statistic)?

B. Determine the P-value for this test.

Answer 1

Solution :

Given that,

= 42

= 39

= 11 and n = 31

A)

Test statistic = z = ( - ) / / n = (42 - 39) / 11 / 31 = 1.52

B)

This is the right tailed test .

P(z >1.52) = 1 - P(z < 1.52) = 1 - 0.9357 = 0.0643

P-value = 0.0643