Question

Find the standardized test statistic t for a sample with n = 20, x bar= 13.8, s = 2.0, and α = 0.05 if Ha: μ < 14.2. Round your answer to three decimal places.  

Answer 1

Solution :

= 14.2

= 13.8

s =2.0

n = 20

This is the left tailed test .

The null and alternative hypothesis is ,

H₀ :    = 14.2

H_a : < 14.2

Test statistic = t

= ( - ) / s / n

= (14.2 - 13.8) / 2.0 / 20

= −31.752

Test statistic = t =−31.752