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)

Answer 1

To estimate the population mean from the sample, we first need to calculate the sample mean. The sample mean is calculated by summing all the values and dividing by the number of values.

Here are the sample responses you provided:

12, 9, 16, 9, 10, 11, 10, 14, 4, 2, 4, 0, 12, 1, 6

Now, let's calculate the sum of these values:

\[
12 + 9 + 16 + 9 + 10 + 11 + 10 + 14 + 4 + 2 + 4 + 0 + 12 + 1 + 6 = 12 + 9 = 21\\
21 + 16 = 37\\
37 + 9 = 46\\
46 + 10 = 56\\
56 + 11 = 67\\
67 + 10 = 77\\
77 + 14 = 91\\
91 + 4 = 95\\
95 + 2 = 97\\
97 + 4 = 101\\
101 + 0 = 101\\
101 + 12 = 113\\
113 + 1 = 114\\
114 + 6 = 120
\]

So, the sum of the values is **120**.

Next, we divide the sum by the number of responses (15) to get the sample mean:

\[
\text{Sample Mean} = \frac{\text{Sum}}{\text{Number of Responses}} = \frac{120}{15} = 8
\]

Thus, the estimated population mean based on the sample is **8**.