Question
Jerra surveys 150 people about how many movies they have seen in the theater in the past year. A sample of 15 responses is shown. Number of Movies 12 9 16 9 10 11 10 14 4 2 4 0 12 1 6 Estimate the population mean. (1 point)
Answers
GPT-4o mini
To estimate the population mean based on the sample provided, we first need to calculate the average number of movies seen from the sample of responses.
Here are the responses:
12, 9, 16, 9, 10, 11, 10, 14, 4, 2, 4, 0, 12, 1, 6
1. **Sum the values:**
\[
12 + 9 + 16 + 9 + 10 + 11 + 10 + 14 + 4 + 2 + 4 + 0 + 12 + 1 + 6 = 12 + 9 + 16 + 9 + 10 + 11 + 10 + 14 + 4 + 2 + 4 + 0 + 12 + 1 + 6 = 8 + 12 + 10 = 88
\]
2. **Count the number of responses:**
There are 15 responses.
3. **Calculate the mean:**
\[
\text{Mean} = \frac{\text{Sum of responses}}{\text{Number of responses}} = \frac{88}{15} \approx 5.87
\]
Thus, the estimated population mean for the number of movies seen in the theater in the past year is approximately **5.87**.
Here are the responses:
12, 9, 16, 9, 10, 11, 10, 14, 4, 2, 4, 0, 12, 1, 6
1. **Sum the values:**
\[
12 + 9 + 16 + 9 + 10 + 11 + 10 + 14 + 4 + 2 + 4 + 0 + 12 + 1 + 6 = 12 + 9 + 16 + 9 + 10 + 11 + 10 + 14 + 4 + 2 + 4 + 0 + 12 + 1 + 6 = 8 + 12 + 10 = 88
\]
2. **Count the number of responses:**
There are 15 responses.
3. **Calculate the mean:**
\[
\text{Mean} = \frac{\text{Sum of responses}}{\text{Number of responses}} = \frac{88}{15} \approx 5.87
\]
Thus, the estimated population mean for the number of movies seen in the theater in the past year is approximately **5.87**.