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Question

Surveys as Population Estimates Quick Check
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Question
An infectious disease lab has taken samples from several surfaces within an office building. The lab calculates the percentage of the surface area of the sample that is covered in bacteria. In four of the samples, the percentage of bacteria covering the surface was 0.13, 0.19, 0.22, and 0.25. Which gives the best estimate of the percentage of surfaces within the office building that are covered in bacteria?(1 point)
Responses

0.26
0.26

3.16
3.16

0.79
0.79

0.20
0.20

Answer 1

To estimate the percentage of surfaces within the office building that are covered in bacteria based on the samples provided, we should calculate the average percentage of bacteria from the samples.

The samples given are:

• 0.13
• 0.19
• 0.22
• 0.25

Calculating the average:

\[ \text{Average} = \frac{0.13 + 0.19 + 0.22 + 0.25}{4} = \frac{0.79}{4} = 0.1975 \]

Rounding 0.1975 gives approximately 0.20.

Therefore, the best estimate of the percentage of surfaces within the office building that are covered in bacteria is 0.20.

So, the correct response is 0.20.