The EPA has set the safe drinking water limit for copper at 1.3 milligrams per liter (mg/L). In your sample, the mean copper content is 1.36 mg/L with a standard deviation of 0.18 mg/L from 30 randomly selected locations.
To determine if the new water source meets the EPA's standard, you should perform a hypothesis test using the provided sample data. The null hypothesis (H0) would be that the mean copper content is less than or equal to 1.3 mg/L, while the alternative hypothesis (H1) is that the mean copper content is greater than 1.3 mg/L.
With the given sample size, mean, and standard deviation, you can calculate the test statistic and compare it to a critical value to determine whether to accept or reject the null hypothesis. If the test statistic is greater than the critical value, you would reject the null hypothesis and conclude that the mean copper content of the new water source exceeds the EPA's safe limit.
It's important to remember that statistical tests can only provide evidence for or against a hypothesis, but cannot definitively prove that the new water source is safe or unsafe. Additional testing and monitoring would be necessary to make a well-informed decision about the safety of the water source.
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Answer:
To start off, this fraction needs to be rationalized; you can't have a radical in the denominator. So, you multiply both the numerator & denominator by the same number (so as to not mess up the proportion of numerator:denominator; it's like multiplying by 1) & get the radical out of the denominator. What number would that be? sqrt5.
So we have (sqrt6/sqrt5)•(sqrt5/sqrt5).
To simplify that, we get (sqrt6•sqrt5)/(sqrt5•sqrt5).
This can be rewritten as:
sqrt(6•5)/sqrt(5•5)
= sqrt30/sqrt25
Now, sqrt25 = 5, so that problem is solved as such:
sqrt30/5
I'm thinking sqrt30 can't be simplified any further. If it can, do so.
Hope this helps!
Step-by-step explanation:
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The speed of the stream is one mile per hour.
Find David's speed in still water.
David's speed in still water is ? miles per hour?