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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

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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.