For the interval estimation of$\mu$when $\sigma$ is known and the sample is large, the proper distribution to use is
A)the normal distribution
B)the t distribution with n degrees of freedom
C)the t distribution with n + 1 degrees of freedom
D)the t distribution with n + 2 degrees of freedom

Question

Quizplus · Accepted Answer

When the sample size is large (n > 30), it is appropriate to use the normal distribution to estimate the population mean. The t-distribution is used when the sample size is small (n ≤ 30) or the population standard deviation is unknown. In this case, the population standard deviation is known, so the normal distribution is the best choice. The options B, C, and D involve the t-distribution, which is not applicable in this scenario.

For the Interval Estimation Of μ\muμ When σ\sigmaσ Is Known and the Sample Is Large, the Proper Distribution

For the Interval Estimation Of $\mu$ When $\sigma$ Is Known and the Sample Is Large, the Proper Distribution