(SECOND SET) PLEASE AGAIN TRY TO SOLVE!! THANK YOU! 5. The trees in a city park form a line through the center of the park. The types of trees repeat in the order of elm, spruce, willow, pine, and birch throughout the line. You decide to take a systematic sample using an interval of 6 trees, starting from the first tree. In all, there are 150 trees in the park. Using your systematic sample, how many pine trees do you estimate are in the park?
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(SECOND SET) PLEASE AGAIN TRY TO SOLVE!! THANK YOU! 5. The trees in a city park form a line through the center of the park. The types of trees repeat in the order of elm, spruce, willow, pine, and birch throughout the line. You decide to take a systematic sample using an interval of 6 trees, starting from the first tree. In all, there are 150 trees in the park. Using your systematic sample, how many pine trees do you estimate are in the park?
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6. Writing You are researching the average size of the apartments in a certain apartment building. The building has apartments numbered 1 to 96.
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a. Which of the following could represent the first three apartments you choose in a systematic sample of 16 apartments?
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A. 2, 9, 16
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B. 1, 9, 18
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C. 3, 9, 15
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D. 9, 15, 21
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b. Compare the advantages and disadvantages of systematic sampling with those of convenience sampling. Which method do you prefer? Explain.
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7. The plants in your neighbor's garden are in the repeated order of sunflowers, lilacs, roses, and tulips. You decide to take a systematic sample using an interval of 7 plants, starting from the third plant. Using your systematic sample, you estimate that of the 56 plants in her garden, 14 are sunflowers. How accurate is your estimate? Explain.
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A. The estimate is not accurate. The pattern in the plants does not introduce any bias in the sample, so it is not representative of the population.
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B. The estimate is not accurate. The pattern in the plants introduces a bias in the sample, so it is not representative of the population.
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C. The estimate should be fairly accurate. The pattern in the plants does not introduce any bias in the sample, so it should be representative of the population.
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D. The estimate should be fairly accurate. The pattern in the plants does not introduce any bias in the sample, so it is not representative of the population.
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8.
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a. Reasoning You are studying the colors of houses on a highly populated street. Decide whether or not each of the following descriptions is an example of systematic sampling. Select all that apply.
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A. You choose every eighth house on the street, starting with the second.
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B. You choose every house on the street.
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C. You choose the first and last 8 houses on the street.
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D. You list the houses alphabetically by owner's last name, and choose every fifth house on the list, starting at the fourth.
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b. Explain your reasoning for each decision.
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9. Think About the Process In a pet store, birds are displayed in the repeated order of finch, canary, macaw, and parakeet. You take a systematic sample using an interval of 5 birds, starting from the third bird. In all, there are 80 birds in the store.
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a. Which of the following is the constant of proportionality needed to estimate the total number of finches in the store?
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A. 1 20
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B. 4
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C. 16
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D. 1 4
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b. You estimate there are ____ finches in the store.
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