Question
Jerry surveys 150 people about how many movies they have seen in theater in the past year a sample of 15 responses is shown 12, 9, 16, 9, 10, 11, 10, 14, 4, 2, 4, 0, 12, one, six, estimate the population mean
Answers
GPT-4o mini
To estimate the population mean based on the sample provided, we can calculate the sample mean of the 15 responses. Here's how to do it:
1. **List the sample data**:
\(12, 9, 16, 9, 10, 11, 10, 14, 4, 2, 4, 0, 12, 1, 6\)
2. **Sum the values**:
\[
12 + 9 + 16 + 9 + 10 + 11 + 10 + 14 + 4 + 2 + 4 + 0 + 12 + 1 + 6 = 118
\]
3. **Count the number of samples**:
There are \(15\) responses.
4. **Calculate the sample mean**:
\[
\text{Sample Mean} = \frac{\text{Sum of values}}{\text{Number of samples}} = \frac{118}{15} \approx 7.87
\]
Therefore, the estimated population mean based on this sample is approximately \(7.87\) movies seen in theaters.
1. **List the sample data**:
\(12, 9, 16, 9, 10, 11, 10, 14, 4, 2, 4, 0, 12, 1, 6\)
2. **Sum the values**:
\[
12 + 9 + 16 + 9 + 10 + 11 + 10 + 14 + 4 + 2 + 4 + 0 + 12 + 1 + 6 = 118
\]
3. **Count the number of samples**:
There are \(15\) responses.
4. **Calculate the sample mean**:
\[
\text{Sample Mean} = \frac{\text{Sum of values}}{\text{Number of samples}} = \frac{118}{15} \approx 7.87
\]
Therefore, the estimated population mean based on this sample is approximately \(7.87\) movies seen in theaters.