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Multiple choice: Select the best answer for Exercises 65 to 68. Why is it important to
Chapter 7, Problem 66(choose chapter or problem)
Why is it important to check the 10% condition before calculating probabilities involving \(\bar{x}\)?
(a) To reduce the variability of the sampling distribution of \(\bar{x}\).
(b) To ensure that the distribution of \(\bar{x}\) is approximately Normal.
(c) To ensure that we can generalize the results to a larger population.
(d) To ensure that \(\bar{x}\) will be an unbiased estimator of \(\mu\).
(e) To ensure that the observations in the sample are close to independent.
Questions & Answers
QUESTION:
Why is it important to check the 10% condition before calculating probabilities involving \(\bar{x}\)?
(a) To reduce the variability of the sampling distribution of \(\bar{x}\).
(b) To ensure that the distribution of \(\bar{x}\) is approximately Normal.
(c) To ensure that we can generalize the results to a larger population.
(d) To ensure that \(\bar{x}\) will be an unbiased estimator of \(\mu\).
(e) To ensure that the observations in the sample are close to independent.
ANSWER:Step 1 of 2
It is given that the probabilities involving satisfy the condition.
We need to figure out the reason.