Question

Using the traditional hypothesis testing approach, calculate the critical value for testing the null hypothesis that the population mean is greater than or equal to 8, given a sample size of 32, a population standard deviation 3.63, and a significance level of 0.05.

K =  
Round to two decimals.

Answer 1

Solution :

The null and alternative hypothesis is ,

H0 :   = 8

Ha : 8

= 3.63

n = 32

= 0.05  

This is the right tailed test,

P( Z > z ) = 0.05

= 1 - P( Z < z ) = 0.05

=  P( Z < z ) = 1 - 0.05

=  P( Z < z ) = 0.95

=  P( Z < 1.65 ) = 0.95

K = 1.65