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.
-Suppose we had selected 240 acres rather than 24, but the values of our sample statistics were the same. Describe how each of the following would change.
The sample standard deviation would ______. (1)
The standard error of the sample mean would ______. (2)
The standard deviation of the bootstrap distribution would ______. (3)
The p-value would ______. (4)
Drop-down options for (1)-(4):
•decrease
•increase
•remain the same
•unable to determine

Question

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. 
-Suppose we had selected 240 acres rather than 24, but the values of our sample statistics were the same. Describe how each of the following would change.
The sample standard deviation would ______. (1)
The standard error of the sample mean would ______. (2)
The standard deviation of the bootstrap distribution would ______. (3)
The p-value would ______. (4)
Drop-down options for (1)-(4):
•decrease
•increase
•remain the same
•unable to determine

Quizplus · Accepted Answer

The Answer of 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. 
-Suppose we had selected 240 acres rather than 24, but the values of our sample statistics were the same. Describe how each of the following would change.
The sample standard deviation would ______. (1)
The standard error of the sample mean would ______. (2)
The standard deviation of the bootstrap distribution would ______. (3)
The p-value would ______. (4)
Drop-down options for (1)-(4):
•decrease
•increase
•remain the same
•unable to determine

Noxious Weeds Are Invasive Plants That Quickly Spread and Deplete