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The mean and standard deviation of Carbon concentration is 5 mg/L and 2 mg/L based on...

The mean and standard deviation of Carbon concentration is 5 mg/L and 2 mg/L based on 25 samples from a river. The mean and standard deviation of Nitrogen concentration is 7 mg/L and 3 mg/L based on 35 samples from the same river. The experimenter wants to answer the question if the Nitrogen concentration is higher than the Carbon concentration. Which of the following methods do you use?

(a) Z-test, Default Procedure

(b) Z-test, Pooled Variance Procedure

(c) T-test, Pooled Variance Procedure

(d) T-test, Default Procedure

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Answer #1

We do not know the population standard deviation but the sample standard deviations are not significantly different. Hence,

The correct method to use is:

T-test, Pooled Variance Procedure

Option C is correct.

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