A proposed null hypothesis states that there is no difference between the mean weights of the population of two neighboring districts. The sample mean difference is 12 kilograms, and the standard deviation of the distribution of the difference between sample means is 9 kilograms. Which statement is true?

AThe null hypothesis must be accepted if we choose the 68% confidence level.
BThe null hypothesis must be accepted if we choose the 95% confidence level.
CThe null hypothesis must be rejected if we choose the 99.7 % confidence level.
DThe null hypothesis must be rejected if we choose the 100% confidence level.
EThe null hypothesis must be rejected if we choose the 95% confidence level.

Verified Answer :

The correct answer for the question that is being presented above is this one: "c. The null hypothesis must be rejected if we choose the 99.7 % confidence level." A proposed null hypothesis states that there is no difference between the mean weights of the population of two neighboring districts

Answer: c. The null hypothesis must be rejected if we choose the 99.7 % confidence level.

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