Imagine that you are part of a research team that is working to control the spread of the Japanese beetle. This is an insect pest from Japan first discovered on the east coast of the United States in 1916. Since that time it has been spreading slowly south and west. The grubs of Japanese beetles live in the soil and eat the roots of grasses. As adults they can fly and eat the leaves of many desirable plants including corn, beans, tomatoes, peaches and roses.
Your research team has developed a new chemical to combat Japanese beetles that is not toxic to other living things. Your team wants to test the chemical in actual conditions and has selected a 100 x 100 meter area where the chemical will be tested. Before the team can test the chemical, however, it needs to have a count of the number of Japanese beetles present before the chemical is applied. This number can then be compared to the count of Japanese beetles after the chemical has been used to see how effective it is in reducing the number of beetles.
It is your job as a member of the team to do the initial count of the beetles by taking a sample. In Self-Check Test 3, you performed a sampling activity. Use the data you collected in your sampling activity of pennies as the data for your sample of Japanese beetles to answer the following questions.
You have collected 20 Japanese beetles from the area, tagged them with a painted red dot, and then released in small numbers in various places in the hectare you are studying.
A. When you took a second random sample of 10 Japanese beetles, how many of the 10 were tagged?
B. How many groups of recaptured, tagged beetles are there in the 20 beetles you originally tagged?
C. Calculate approximately how many Japanese beetles are in the 100 x 100 meter area.
D. Is the data you collected on the beetles quantitative or qualitative data? Explain your answer.
"In Self-Check Test 3, you performed a sampling activity. Use the data you collected in your sampling activity of pennies as the data for your sample of Japanese beetles to answer the following questions. "
I don't see how we can help you since we don't know your data.
A. To determine how many of the 10 Japanese beetles were tagged in the second random sample, you need to count the number of tagged beetles in the sample. If there are, for example, 3 tagged beetles out of the 10, you would say that 3 out of the 10 beetles in the second sample were tagged.
B. To determine the number of groups of recaptured, tagged beetles in the 20 beetles you originally tagged, you need to count the number of beetles that have the red paint dot (i.e., tagged beetles) and were recaptured. Let's assume that in this case, there are 5 beetles that were recaptured and have the red paint dot. Therefore, there are 5 groups of recaptured, tagged beetles.
C. To calculate approximately how many Japanese beetles are in the 100 x 100 meter area, you can use the concept of mark and recapture method. First, you need to mark a certain number of beetles (let's say 20) and release them back into the area. Then, after a period of time, you capture another sample of beetles (let's say 100) and count the number of marked beetles in that sample (let's say 10). The ratio of the marked beetles in the second sample to the total number of beetles in the second sample is approximately equal to the ratio of the marked beetles in the entire population to the total population size. So, you can set up a proportion: 20/10 = Population size/100. Solve this proportion for the population size: Population size = (20 * 100) / 10 = 200 Japanese beetles in the 100 x 100 meter area.
D. The data collected on the beetles is quantitative data. Quantitative data is numerical data that can be measured or counted. In this case, you are counting the number of tagged beetles, which is a numerical value. Therefore, it falls under the category of quantitative data.