Questions: A researcher for the EPA measured the amount of arsenic in the water near a sewage treatment plant. Over 12 days, he took n=40 measurements (in ppb). His sample data is summarized in the frequency distribution polygon shown below. How many measurements taken in this time frame were within [65,70) ppb?

A researcher for the EPA measured the amount of arsenic in the water near a sewage treatment plant. Over 12 days, he took n=40 measurements (in ppb). His sample data is summarized in the frequency distribution polygon shown below.

How many measurements taken in this time frame were within [65,70) ppb?
Transcript text: A researcher for the EPA measured the amount of arsenic in the water near a sewage treatment plant. Over 12 days, he took $n=40$ measurements (in ppb ). His sample data is summarized in the frequency distribution polygon shown below. How many measurements taken in this time frame were within $[65,70)$ ppb?
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Solution

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Solution Steps

Step 1: Identify the relevant range

The problem asks for the number of measurements within the range [65, 70] ppb.

Step 2: Locate the data points on the frequency polygon

Examine the frequency polygon to find the data points corresponding to the range [65, 70] ppb.

Step 3: Read the frequency values

From the frequency polygon:

  • At 65 ppb, the frequency is 8.
  • At 70 ppb, the frequency is 10.

Final Answer

The number of measurements taken in the time frame within [65, 70] ppb is 18.

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