Multiple choice: Select the best answer for Exercises 65 to 68. Why is it important to

Chapter 7, Problem 66

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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.

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.

 

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