In lecture, we analyzed the simulated results of rolling five normal dice a total of 1,000 times. We determined that the mean of the distribution of sample means was about 3.5, which is the mean of the population of rolls (1, 2, 3, 4, 5, 6). We also determined that the mean of the sample proportions for odd rolls was about 0.5. This agreed with the population result, where 3/6 numbers in the population are odd. How would you expect these results to change if each of the five dice were weighted according to the table below? In particular, how would this affect the mean of the distribution of sample means? The mean of the distribution of sample proportions for odd rolls? Discuss from a qualitative perspective. You do not need to perform any calculations here. Roll Probability 1 0.1 2 0.1 3 0.1 4 0.4 0.1 0.2

A random sample of size 1,000 is taken from a population where the population proportion p = .02. What is the mean of the sample proportions?

On average, a sample of n = 36 scores will provide a better estimate of the population mean than a sample of n = 49 scores from the same population.

Suppose that you had collected the following sample data (in inches) on the diameters of tree trunks, measured at waist level and growing at 2000’ elevation in the Cascade Mountains: 9.0, 6.2, 6.5, 7.0, 10.5 and 8.8. The sample Inter Quartile Range is: (a) 5.5 (b) 4.5 (c) 3.5 (d) 2.5 (e) 4.0 (f) None of the above