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Noxious Weeds Are Invasive Plants That Quickly Spread and Deplete

Question 12

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Noxious weeds are invasive plants that quickly spread and deplete the soil of nutrients that are required for all aspects of farming and ranching. With much at stake, the state of Montana has hired a team of researchers to explore the issue. They want to know the average number of noxious weeds per acre in North Central Montana. To do so, researchers divided the area of interest into 1,000,000 acres and randomly selected 24 of these acres. For each selected acre, they counted and removed the noxious weeds. The sample mean was 103.47 weeds, and the sample standard deviation was 46.034 weeds. Below is the simulated bootstrap distribution of 1,000 sample means they created from resampling the observed data. Noxious weeds are invasive plants that quickly spread and deplete the soil of nutrients that are required for all aspects of farming and ranching. With much at stake, the state of Montana has hired a team of researchers to explore the issue. They want to know the average number of noxious weeds per acre in North Central Montana. To do so, researchers divided the area of interest into 1,000,000 acres and randomly selected 24 of these acres. For each selected acre, they counted and removed the noxious weeds. The sample mean was 103.47 weeds, and the sample standard deviation was 46.034 weeds. Below is the simulated bootstrap distribution of 1,000 sample means they created from resampling the observed data.   -How was one bootstrapped sample generated in the plot above? A)  Randomly select 24 acres from the area of interest and calculate the mean number of noxious weeds. B)  Randomly select 24 acres from the acres selected for the sample, without replacement, and calculate the mean number of noxious weeds. C)  Randomly select 24 acres from the acres selected for the sample, with replacement, and calculate the mean number of noxious weeds. D)  Randomly select 24 acres from a hypothetical population of acres and calculate the mean number of noxious weeds.
-How was one bootstrapped sample generated in the plot above?


A) Randomly select 24 acres from the area of interest and calculate the mean number of noxious weeds.
B) Randomly select 24 acres from the acres selected for the sample, without replacement, and calculate the mean number of noxious weeds.
C) Randomly select 24 acres from the acres selected for the sample, with replacement, and calculate the mean number of noxious weeds.
D) Randomly select 24 acres from a hypothetical population of acres and calculate the mean number of noxious weeds.

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