Sampling distributions

What the problems look like

A few statements from this skill. Answers, hints and worked solutions live in the practice session.

1. Warm-up

   A population has mean $\mu = 141$ and standard deviation $\sigma = 41$. Simple random samples of size $n = 95$ are repeatedly drawn from this population. For the sampling distribution of the sample mean $\bar x$, find (a) its standard error and (b) its mean, each rounded to two decimal places.

2. Warm-up

   A population has mean $\mu = 86$ and standard deviation $\sigma = 27$. Simple random samples of size $n = 105$ are repeatedly drawn from this population. For the sampling distribution of the sample mean $\bar x$, find (a) its standard error and (b) its mean, each rounded to two decimal places.

3. Warm-up

   A population has mean $\mu = 262$ and standard deviation $\sigma = 44$. Simple random samples of size $n = 100$ are repeatedly drawn from this population. For the sampling distribution of the sample mean $\bar x$, find (a) its standard error and (b) its mean, each rounded to two decimal places.

Problems shown under their original terms: Generated (template, solver-computed).