If the population is $\textbf{ not }$ normal but its standard deviation σ is known, and the sample size n is large (n ≥ 30), z distribution values may be used to determine interval estimates for the population mean.

Question

If the population is $\textbf{     not    }$  normal but its standard deviation σ is known, and the sample size n is large (n ≥ 30), z distribution values may be used to determine interval estimates for the population mean.

Quizplus · Accepted Answer

When the population is not normal but the sample size is large (n ≥ 30) and the standard deviation σ is known, z-distribution values may be used. In this case, the central limit theorem applies, and the distribution of sample means will be approximately normal. Therefore, z-distribution values may be used to estimate the population mean.

If the Population Is not \textbf{ not } not

If the Population Is $\textbf{ not }$