FORESTRY
AGRICULTURAL STATISTICS AND ECONOMICS
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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Why is it important to check the 10% condition before calculating probabilities involving x̄?
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To reduce the variability of the sampling distribution of x̄
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To ensure that the distribution of x̄ is approximately Normal
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To ensure that we can generalize the results to a larger population
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To ensure that x̄ will be an unbiased estimator of
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To ensure that the observations in the sample are close to independent.
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Explanation:
Detailed explanation-1: -It’s important to check the 10% condition before calculating probabilities involving x because we want to ensure that the observations in the sample are close to independent.
Detailed explanation-2: -The 10% condition states that sample sizes should be no more than 10% of the population. Whenever samples are involved in statistics, check the condition to ensure you have sound results. Some statisticians argue that a 5% condition is better than 10% if you want to use a standard normal model.
Detailed explanation-3: -The Large Counts Condition is important because it allows us to use statistical tests that assume a normal distribution, such as the z-test, to make inferences about the population parameter.
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