To estimate the population mean from Jerra's sample of responses, we will first calculate the mean of the provided sample data.
Here are the responses:
- 12
- 9
- 16
- 9
- 10
- 11
- 10
- 14
- 4
- 2
- 4
- 0
- 12
- 1
- 6
Step 1: Calculate the sum of the responses
Sum = 12 + 9 + 16 + 9 + 10 + 11 + 10 + 14 + 4 + 2 + 4 + 0 + 12 + 1 + 6 = 21 + 16 + 11 + 10 + 14 + 2 + 4 + 0 + 12 + 1 + 6 = 112
Step 2: Count the number of responses
There are 15 responses in total.
Step 3: Calculate the mean of the sample
Mean = (Sum of responses) / (Number of responses)
Mean = 112 / 15 ≈ 7.47
Final Estimate
The estimated population mean number of movies seen in the theater in the past year is approximately 7.47.