14 b Compare the mean of the population to the mean of the s
14
b. Compare the mean of the population to the mean of the sampling distribution of the sample mean.
The mean of thepopulation,_____, greater than, less than or equal to the mean of the sample means______?
0.0625
| Sample Mean | Probability | 
| 37 | 0.0625 | 
| 34.5 | 0.125 | 
| 32 | 0.0625 | 
| 26.5 | 0.125 | 
| 25.5 | 0.125 | 
| 24 | 0.125 | 
| 23 | 0.125 | 
| 16 | 0.0625 | 
| 15 | 0.125 | 
| 14 b. Compare the mean of the population to the mean of the sampling distribution of the sample mean. The mean of thepopulation,_____, greater than, less than or equal to the mean of the sample means______? | 0.0625 | 
Solution
14b)
The mean of the population is (37+32+16+14)/4 = 24.75.
Consider the table:
Thus, THEY ARE EQUAL. [ANSWER]
| x | P(x) | x P(x) | 
| 37 | 0.0625 | 2.3125 | 
| 34.5 | 0.125 | 4.3125 | 
| 32 | 0.0625 | 2 | 
| 26.5 | 0.125 | 3.3125 | 
| 25.5 | 0.125 | 3.1875 | 
| 24 | 0.125 | 3 | 
| 23 | 0.125 | 2.875 | 
| 16 | 0.0625 | 1 | 
| 15 | 0.125 | 1.875 | 
| 14 | 0.0625 | 0.875 | 

