Exciting Study on Contamination Levels in the Ground
Curious about Contamination Levels?
What is the average contamination level in the different strata based on the collected data?
Exploring Contamination Levels
In order to calculate the confidence interval for the true mean contamination level, we first find the sample means and standard deviations for each stratum. For the contaminated stratum, the sample mean is (50 + 100 + 75) / 3 = 75 ppt, and the sample standard deviation is approximately 20.82 ppt. For the uncontaminated stratum, the sample mean is (1 + 3 + 2) / 3 = 2 ppt, and the sample standard deviation is approximately 0.82 ppt. Using these values and the formula for calculating the confidence interval, we find that the interval is approximately 13.88 ppt to 58.55 ppt.
To plan next year's study with a margin of error of 1 ppt, we need to determine the optimal allocation of samples between the two strata. This allocation minimizes the total cost while achieving the desired precision. Using the formula for optimal allocation and the variances from the current study, we find that allocating approximately 3.8 hectares to the contaminated stratum and 41.2 hectares to the uncontaminated stratum would yield an optimal allocation for the next year's study.
Understanding the Data
The study conducted on contamination levels in the ground involved two strata: one contaminated and one uncontaminated. By collecting measurements in each stratum and calculating sample means and standard deviations, we were able to determine the average contamination levels in each area.
The confidence interval for the true mean contamination level ranged from 13.88 ppt to 58.55 ppt, providing valuable insights into the extent of contamination in the different areas. Additionally, by planning next year's study with a margin of error of 1 ppt and allocating samples optimally, we can ensure a more efficient data collection process while maintaining accuracy in our findings.
By utilizing the information from this study and making informed decisions about resource allocation for future studies, we can continue to improve our understanding of contamination levels in the ground and work towards developing effective mitigation strategies.