The pH measurements of water specimens from various locations along a given river basin are Normally distributed, with standard deviation σ= 0.3. The average pH of water specimens from 4 randomly selected locations on this river basin is x̄= 7.8. Based on these data, what is the value for the margin of error for a 95% confidence interval for μ?

Question

Quizplus · Accepted Answer

The margin of error for a 95% confidence interval can be calculated using the formula: 
Margin of Error = 1.96 * (σ/√n), where σ is the standard deviation and n is the sample size. 
In this case, σ = 0.3 and n = 4. 
Plugging these values into the formula, we get: 
Margin of Error = 1.96 * (0.3/√4) = 0.294 
Therefore, the margin of error is 0.294 kg, which corresponds to choice B.

The PH Measurements of Water Specimens from Various Locations Along