Question

Calculate the p-value when H0:m is less or equal than 30, Ha:m is greater than 30, x bar=35, sigma=8, and n=16.

Answer 1

Solution :

This is the right tailed test .

The null and alternative hypothesis is ,

H₀ :   30

H_a : > 30

= 35

= 30

= 8

n =16

Test statistic = z

= ( - ) / / n

= (35 - 30) / 8 / 16

= 2.5

Test statistic = 2.5

P(z > 2.5) = 1 - P(z < 2.5) = 1 - 0.9938 = 0.0062

P-value = 0.0062