Question

Consider H0: μ= 38 verses H1: μ > 38. A random sample of 35 observations taken from this population produced a sample mean of 40.25. The population is normally distributed with σ=7.2 Calculate the p-value. Round your answer to four decimal places.

p=????

Answer 1

this is the right tailed test .  

The null and alternative hypothesis is ,

H0 :   = 38

Ha : >38

Test statistic = z

= ( - ) / / n

= (40.25-38) / 7.2/ 35

= 1.85

P(z >1.85 ) = 1 - P(z <1.85 ) = 1-0.9678=0.0322

P-value = 0.0322