Exam 8: The Central Limit Theorem and Hypothesis Testing

Show how you would obtain the standard error of a distribution of sample means given that the population mean is 10, the sample size is 50, the population variance is 4 and the sample mean is 30:

Which of the following can we conclude if we assume that the Central Limit Theorem is true?

David would like to examine whether keeping pets increases the wellbeing of children. He should formulate:

A sampling distribution that is made up of a sample size of 5 will have smaller variability than a sampling distribution that is made up of a sample size of 10.

If we know the actual means of our null and alternative populations, we do not need to conduct hypothesis testing.

A distribution of sample means has a standard error of 0.2 and a population standard deviation of 2. Find the sample size. Explain how you obtained your answer.