Question

6) The number of pets the households on my neighborhood have are 2, 5, 1, 0, 1, 3, 0, 4, 1, and 2. I took a sample of three households: 4, 1, and 2. Is the sample mean is more than the population mean?

Answer 1

Yes, the sample mean is more than the population mean

Step-by-step explanation

We need to find out if the sample mean is more than the population mean.

The population mean is the mean of the entire data of pets in the neighborhood.

The sample mean is the mean of the sample of data.

The mean of a set of data is the sum of the entire data divided by the total number of data points.

The population mean is therefore:

`\begin{gathered} \text{Pop mean = }\frac{2\text{ + 5 + 1 + 0 +1 + 3 + 0 + 4 + 1 + 2}}{10} \\ \text{Pop mean = }(19)/(10) \\ \text{Pop mean = }1.9 \end{gathered}`

The sample mean is therefore:

`\begin{gathered} Sam\text{ mean = }\frac{4\text{ + 1 + 2}}{3} \\ \text{Sam mean = }(7)/(3) \\ \text{Sam mean = 2.3} \end{gathered}`

Therefore, the sample mean is more than the population mean.