To estimate the population mean based on the sample provided, you can calculate the sample mean. The sample mean is found by summing all the values in the sample and then dividing by the number of values.
Given responses:
- 12, 9, 16, 9, 10, 11, 10, 14, 4, 2, 4, 0, 12, 1, 6
Step 1: Compute the sum of the sample values.
\[ 12 + 9 + 16 + 9 + 10 + 11 + 10 + 14 + 4 + 2 + 4 + 0 + 12 + 1 + 6 = 12 + 9 = 21\ 21 + 16 = 37\ 37 + 9 = 46\ 46 + 10 = 56\ 56 + 11 = 67\ 67 + 10 = 77\ 77 + 14 = 91\ 91 + 4 = 95\ 95 + 2 = 97\ 97 + 4 = 101\ 101 + 0 = 101\ 101 + 12 = 113\ 113 + 1 = 114\ 114 + 6 = 120 \]
The total sum is 120.
Step 2: Count the number of samples.
In this case, there are 15 responses.
Step 3: Calculate the sample mean.
\[ \text{Sample Mean} = \frac{\text{Sum of Responses}}{\text{Number of Responses}} = \frac{120}{15} = 8 \]
So, the estimated population mean is 8.