1.

Assume a population of 43, 49, 52, and 59. Assume that samples of size n = 2 are randomly selected with replacement from the population. Listed below are the sixteen different samples. Complete parts (a) through (c). 43,43 43,49 43,52 43,59 49,43 49,49 49,52 49,59 52,43 52,49 52,52 52,59 59,43 59,49 59,52 59,59 a. Find the median of each of the sixteen samples, then summarize the sampling distribution of the medians in the format of a table representing the probability distribution of the distini: median values. Use ascending order of the sample medians. Sample Median Probability Sample Median Probability L L D L _ L D L _ L D L L D L L D (T ype integers or simplied fractions. Use ascending order of the sample medians.) When two births are randomly selected, the sample space for genders is ob, bg, gb, and gg. Assume that those four outcomes are equally likely. Construct a table that describes the sampling distribution of the sample proportion of girls from two births. Does the mean of the sample proportions equal the proportion of girls in two births? Does the result suggest that a sample proportion is an unbiased estimator of a population proportion? For the entire population, assume the probability of 1 1 having a boy is E' the probability of having a girl is E, and this is not affected by how many boys or girls have previously been born. Determine the probabilities of each sample proportion. Sample proportion of girls Probability l i Y _ (Type integers ornplied fractions.)