Question

Consider H0: μ=38 versus H1: μ>38. A random sample of 35 observations taken from this population produced a sample mean of 40.27. The population is normally distributed with σ=7.2.

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

p=

Answer 1

Solution :

= 38

= 40.27

= 7.2

n = 35

This is the two tailed test .

The null and alternative hypothesis is ,

H₀ :   = 38

H1: μ> 38.

Test statistic = z

= ( - ) / / n

= (40.27- 38) / 7.2 / 35

= 1.87

p ( z > 1.87)

=1 - p ( z > 1.87)

= 1 - 0.9693

p value  = 0.0307