a Find the P value for the test statistic z169 for the foll

(a) Find the P - value for the test statistic z=1.69 for the following null and alternative hypotheses:
H0: The population mean is greater than or equal to 10.  
Ha: The population mean is less than 10.  
The P - value is  

(b) Find the P - value for the test statistic z=1.69 for the following null and alternative hypotheses:
H0: The population mean is 10.  
Ha: The population mean is not equal to 10.  
The P - value is

Solution

a)
P-Value : Left Tail - Ha : ( P < 1.69 ) = 0.9545

b)
P-Value : Two Tailed ( double the one tail ) - Ha : ( P != 1.69 ) = 0.091