Question

$10\%$Why is it important to check the 10 % condition before calculating probabilities involving localid="1654670795605">x-?

a. To reduce the variability of the sampling distribution of ${\mathrm{x}}^{-}\overline{x}$

b. To ensure that the distribution of ${\mathrm{x}}^{-}\overline{x}$is approximately Normal

c. To ensure that we can generalize the results to a larger population

d. To ensure that ${\mathrm{x}}^{-}\overline{x}$will be an unbiased estimator of $\mu$

e. To ensure that the observations in the sample are close to independent

Short answer

(e)To ensure that the observations in the sample are close to independent,

Step-by-step solution

Given Information

Check the 10 % condition before calculating probabilities

Explanation for correct option

The goal to ensure that the observations in the sample are close to independent is the motivation for testing ten percent conditions first.

As a result, the best solution is (e)

Explanation for incorrect option

a. To reduce the variability of the sampling distribution of ${\mathbf{x}}^{\mathbf{-}}\overline{\mathbf{x}}$is not the answer.

b. To ensure that the distribution of ${\mathrm{x}}^{-}\overline{x}$is approximately Norma is not the answer.

c. To ensure that we can generalize the results to a larger population is not the answer.

d. To ensure that ${\mathrm{x}}^{-}\overline{x}$will be an unbiased estimator of $\mu$is not the answer.