Question

Consider the following hypothesis test:

H0: u ≤ 25

Ha: u > 25

A sample of 40 provided a sample mean of 26.4. The population standard deviation is 6.

a) Compute the value or the test statistic. (keep 2 decimal places)

Numeric Answer:

b) What is the p-value? (Keep 4 decimal places)

Numeric Answer:

c) Using a = .05, what is your conclusion?

Options:

A. reject H0

B. do not reject H0

Answer 1

Solution :

This is the two tailed test,  

The null and alternative hypothesis is ,

H0 :   ≤ 25

Ha : > 25

a) Test statistic = z =

= ( - ) / / n

= (26.4 - 25) / 6 / 40

Test statistic = z = 1.48

This is the right tailed test,  

b) P(Z > 1.48) = 1-P (Z < 1.48 ) = 1 - 0.9306

P-value = 0.0694

c) = 0.05  

P-value >

B. do not reject H0