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To compare the effectiveness of competing fertilizers on increasing radish size, researchers randomly divided 20 radish seeds of the same type into two groups of 10 and planted them. To one of the groups, they applied Fertilizer A, and to the other, they applied Fertilizer B. Then the researchers measured the radii of the radishes grown from the seeds in the two groups. The mean radius of the Fertilizer A group was 0.52 inches smaller than the mean radius of the Fertilizer B group. The researchers wanted to determine if this difference was due to the type of fertilizer or simply due to more seeds that produced smaller radishes being randomly assigned to the Fertilizer A group. To test if a difference of the means (A - B) of -0.52 inches or less could be due to chance, the researchers used a computer simulation to shuffle and randomly reassign the radishes to the two fertilizer groups. The difference between the two group means was then calculated and plotted on a dot plot. They repeated this process 99 more times for a total of 100 shuffles. The results are shown in the dot plot.

To compare the effectiveness of competing fertilizers on increasing radish size, researchers randomly divided 20 radish seeds of the same type into two groups of 10 and planted them. To one of the groups, they applied Fertilizer A, and to the other, they applied Fertilizer B. Then the researchers measured the radii of the radishes grown from the seeds in the two groups. The mean radius of the Fertilizer A group was 0.52 inches smaller than the mean radius of the Fertilizer B group. The researchers wanted to determine if this difference was due to the type of fertilizer or simply due to more seeds that produced smaller radishes being randomly assigned to the Fertilizer A group. To test if a difference of the means (A - B) of -0.52 inches or less could be due to chance, the researchers used a computer simulation to shuffle and randomly reassign the radishes to the two fertilizer groups. The difference between the two group means was then calculated and plotted on a dot plot. They repeated this process 99 more times for a total of 100 shuffles. The results are shown in the dot plot.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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To compare the effectiveness of competing fertilizers on increasing radish size, researchers randomly divided 20 radish seeds of the same type into two groups of 10 and planted them. To one of the groups, they applied Fertilizer A, and to the other, they applied Fertilizer B. Then the researchers measured the radii of the radishes grown from the seeds in the two groups. The mean radius of the Fertilizer A group was 0.52 inches smaller than the mean radius of the Fertilizer B group. The researchers wanted to determine if this difference was due to the type of fertilizer or simply due to more seeds that produced smaller radishes being randomly assigned to the Fertilizer A group. To test if a difference of the means (A - B) of -0.52 inches or less could be due to chance, the researchers used a computer simulation to shuffle and randomly reassign the radishes to the two fertilizer groups. The difference between the two group means was then calculated and plotted on a dot plot. They repeated this process 99 more times for a total of 100 shuffles. The results are shown in the dot plot. Simulated Difference of Means for 100 Shuffles H= -,0042 0 = 0.224 0000 o oO0000 000o0000 00 000 -0.8 -0.7 -0.6 -0.5 -04 -0.3 -0.2 -0.1 o 0.1 0.2 0.3 04 0.5 0.6 0.0 Difference of the Means 0.02 What can the researchers conclude as a result of their simulation? 0.04 0.39 Select from the drop-down lists to complete the sentences correctly. 0.52 1.00 In the simulation, a difference of the means for the two fertilizer groups (A - B) of -0.52 inches or lower has a probability of This indicates that it is not likely that Fertilizer A's mean radius being lower than Fertilizer B's mean radius by 0.52 is due to chance.
Transcribed Image Text:To compare the effectiveness of competing fertilizers on increasing radish size, researchers randomly divided 20 radish seeds of the same type into two groups of 10 and planted them. To one of the groups, they applied Fertilizer A, and to the other, they applied Fertilizer B. Then the researchers measured the radii of the radishes grown from the seeds in the two groups. The mean radius of the Fertilizer A group was 0.52 inches smaller than the mean radius of the Fertilizer B group. The researchers wanted to determine if this difference was due to the type of fertilizer or simply due to more seeds that produced smaller radishes being randomly assigned to the Fertilizer A group. To test if a difference of the means (A - B) of -0.52 inches or less could be due to chance, the researchers used a computer simulation to shuffle and randomly reassign the radishes to the two fertilizer groups. The difference between the two group means was then calculated and plotted on a dot plot. They repeated this process 99 more times for a total of 100 shuffles. The results are shown in the dot plot. Simulated Difference of Means for 100 Shuffles H= -,0042 0 = 0.224 0000 o oO0000 000o0000 00 000 -0.8 -0.7 -0.6 -0.5 -04 -0.3 -0.2 -0.1 o 0.1 0.2 0.3 04 0.5 0.6 0.0 Difference of the Means 0.02 What can the researchers conclude as a result of their simulation? 0.04 0.39 Select from the drop-down lists to complete the sentences correctly. 0.52 1.00 In the simulation, a difference of the means for the two fertilizer groups (A - B) of -0.52 inches or lower has a probability of This indicates that it is not likely that Fertilizer A's mean radius being lower than Fertilizer B's mean radius by 0.52 is due to chance.
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