Question

Consider H0: μ=38 versus H1: μ>38. A random sample of 35 observations taken from this population produced a sample mean of 40.28. The population is normally distributed with σ=7.2.

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

Answer 1

Solution :

This is the right tailed test .

The null and alternative hypothesis is ,

H0 :   =38

Ha : >38

Test statistic = z

= ( - ) / / n

= (40.28-38) / 7.2/ 35

Test statistic = 1.87

P(z >1.87 ) = 1 - P(z <1.87 ) = 1-0.9693=0.0307

P-value = 0.0307