Please consider the following statement The sample mean is a

Please consider the following statement: “The sample mean is always less than the population mean.” Indicate whether the statement is true or false and explain your answer.

Solution

False

x   sample
48   15
15   84
54   51
51   48
84   78
5   94
8   84
78   48
54   48
81   48
84  
5  
48  
48  
4  
45  
54  
84  
5  
48  
48  
48  
4  
48  
4  
84  
84  
84  
84  
4  
8  
45  
18  
4  
15  
4  
8  
4  
4  
4  
548  
4  
5  
84  
894  
4  
4  
4  
15  
4  
1  
48  
4  
4  
4  
84  
4  
84  
4  
94  
94  

9

Population mean:56.6

Sample Mean:59.80