Do the samples appear to be from the same population? Why or why not? Support your answer with numerical facts and convincing reasons and explanations
Chemical distribution stats:
Five # summary: (2.29816, 2.29869, 2.299152, 2.30074)
Mean: 2.299706
Standard deviation: 0.001313
Atmospheric:
FNS: (2.30956, 2.30986, 2.31010, 2.31026, 2.311630
Mean: 2.31022
SD: 0.00057
I have no idea how to answer this and I'd really appreciate any help!
To determine whether the samples appear to be from the same population or not, we can compare their statistical measures, such as the mean and standard deviation. Here's how you can approach this:
1. Calculate the range of each sample:
- For the "Chemical distribution" sample, the range is 2.30074 - 2.29816 = 0.00258.
- For the "Atmospheric" sample, the range is 2.31163 - 2.30956 = 0.00207.
2. Compare the means of the samples:
- The "Chemical distribution" sample has a mean of 2.299706.
- The "Atmospheric" sample has a mean of 2.31022.
3. Compare the standard deviations of the samples:
- The "Chemical distribution" sample has a standard deviation of 0.001313.
- The "Atmospheric" sample has a standard deviation of 0.00057.
Now, let's analyze the results:
- The range of the "Chemical distribution" sample is larger (0.00258) compared to the range of the "Atmospheric" sample (0.00207). A larger range suggests greater variability in the data, which might indicate that the samples are not from the same population.
- The mean of the "Atmospheric" sample (2.31022) is slightly higher than the mean of the "Chemical distribution" sample (2.299706). This difference could indicate that the samples are not from the same population.
- The standard deviation of the "Chemical distribution" sample (0.001313) is higher than the standard deviation of the "Atmospheric" sample (0.00057). Again, this suggests a higher variability in the "Chemical distribution" sample and potentially indicates that the samples are not from the same population.
Based on these observations, it seems that the samples may not be from the same population. However, it is important to note that additional analysis and hypothesis testing would be necessary for a more conclusive answer.