In constructing a confidence interval for the mean, the z distribution provides a result nearly identical to the t distribution when n is large.

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When the sample size (n) is large (typically n > 30), the t-distribution approaches the standard normal distribution, represented by the z-distribution. Thus, the confidence interval for the mean generated using the z-distribution is nearly identical to that generated using the t-distribution, making both options equally valid. However, when n is small (typically n < 30), the t-distribution should be used instead of the z-distribution.

In Constructing a Confidence Interval for the Mean, the Z