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 |
