Question

The following is a set of hypotheses, some information from one or more samples, and a standard error from a randomization distribution.

Test H0 : μ=85 vs Ha : μ>85 when the sample has n=20, x¯=81.9, and s=3.3 with SE=0.7.

Find the value of the standardized z-test statistic.

Answer 1

Solution :

= 85

= 81.9

S = 3.3

n = 20

This is the right tailed test .

The null and alternative hypothesis is

H0 :   = 85

Ha : > 85  

SE = 0.7

Test statistic = z

= ( - ) / / n

= (81.9 -85) / 0.7

= -4.429