As a review or refresher,is thestandard normal probability distribution, for which the test statistic is thez-score,the appropriate choice for hypothesis testing and confidence intervals, primarily when the population standard deviation isknownand secondarily when sample size is large,at least 30.(Admittedly, these cases may be the exception, not the rule.)

1. Yes
2. No

As a reminder,is thesampling distribution of a statistic normally distributedwhen the simple random sample is at least 30 or when the population itself is normally distributed, as per theCentralLimit Theorem, orCLT?

1. Yes
2. No

The corresponding test statistic,z,when the population standard deviation isknownand the sample size issufficientlylargeisas follows, agreed?