Determine if the following statements are true or false. Each question is worth 2 points.

13. (T / F) In order for the sampling distribution of a mean to be nearly normally distributed, the expected numbers of successes and failures must be at least 10.

14. (T / F) Random sampling is useful for finding evidence of a causal relationship.

15. (T / F) If the population distribution is highly skewed, then the central limit theorem will never apply to the sampling distribution of sample means.

16. (T / F) Suppose a researcher sets the significance level at 5% prior to conducting an experiment. After conducting the study, the researcher computes a p-value of 0:04. The researcher can conclude that the null hypothesis is false.