Question

Consider H0: μ=38 versus H1: μ>38. A random sample of 35 observations taken from this population produced a sample mean of 40.26. The population is normally distributed with σ=7.2.

Calculate the p-value. Round your answer to four decimal places.

Answer 1

Solution :

Given that ,

= 40.26

= 38

= 7.2

n = 35

Test statistic = z

= ( - ) / / n

= (40.26 - 38) / 7.2 / 35

= 1.86

Test statistic = 1.86

This is the right tailed test .

P(z > 1.86) = 1 - P(z < 1.86) = 1 - 0.9686 = 0.0314

P-value = 0.0314