If random samples of size 1300 are drawn from a population with a mean of 27 and a standard deviation of 6, find the standard error of the distribution of sample means. Round your answer to three decimal places, if necessary. standard error =

Random samples of size 40 are drawn from population A with a proportion of 0.4 and random samples of size 50 are drawn from population B with a proportion of 0.3. Find the standard error of the distribution of differences in sample proportions, pApBp^A-p^B. Round your answer to three decimal places. Determine whether the sample sizes are large enough for the Central Limit Theorem to apply.

* The standard error is 0.101. The sample sizes are large enough for the Central Limit Theorem to apply.

* The standard error is 0.101. The sample sizes are not large enough for the Central Limit Theorem to apply.

* The standard error is 0.042. The sample sizes are large enough for the Central Limit Theorem to apply.

* The standard error is 0.072. The sample sizes are large enough for the Central Limit Theorem to apply.