Question

determine if the statement is true or false. when substituting the sample standard deviation for the population standard deviation, we can no longer rely on the normal distribution to provide the critical z - score for the confidence interval. true false

Explanation:

When the population standard deviation ($\sigma$) is unknown and we substitute the sample standard deviation ($s$), we use the $t$-distribution instead of the normal ($z$) - distribution for constructing confidence intervals. The $t$-distribution has heavier tails than the normal distribution to account for the additional uncertainty introduced by estimating $\sigma$ with $s$.

Answer:

True