6. What eect does increasing the sample size have on the size of a confidence interval? Explain. (1 point)

Question

Increasing the sample size decreases the size of the confidence interval. Increasing the sample size means
multiplying by a smaller z-score when calculating the margin of error. This reduces the margin of error,
which decreases the size of the confidence interval.
Increasing the sample size increases the size of the confidence interval. Increasing the sample size means
dividing by a smaller number when calculating the margin of error. This increases the margin of error,
which increases the size of the confidence interval.
Increasing the sample size increases the size of the confidence interval. Increasing the sample size means
multiplying by a larger z-score when calculating the margin of error. This increases the margin of error,
which increases the size of the confidence interval.
Increasing the sample size decreases the size of the confidence interval. Increasing the sample size means
dividing by a larger number when calculating the margin of error. This reduces the margin of error, which
decreases the size of the confidence interval.

Answer 1

Increasing the sample size decreases the size of the confidence interval. This is because a larger sample size reduces the variability in the data and provides a more accurate estimate of the population parameter. As a result, there is less uncertainty in the estimate and a smaller margin of error is needed to construct the confidence interval. Therefore, the confidence interval becomes narrower and more precise as the sample size increases.