a. Generate the 1000 revenues and retain the integer portion. b. Obtain a histogram for the data in (a). c. Select a simple random sample of size 30 from this population (use seed 2008). = d. Using this sample, estimate the average and total revenue and the associated variance estimates. e. Construct 95% confidence intervals for the mean and total revenue of the population. f. For this type of distribution, why is a simple random sampling not the best design to yield a precise estimate? Suppose there was an auxiliary information prior to the sampling design, propose an alternate sampling design that can lead to a more precise estimate. Explain how you could do this.

One sample has n=7 and SS=35 and a second sample has n =17 and SS =45. What is the pooled variance for these two samples?

When two births are randomly selected, the sample space for genders is bb, 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 1 1 population proportion? For the entire population, assume the probability of having a boy is the probability of having a girl is, 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 (Type integers or simplified fractions.)

Suppose I want to sample the household incomes for EBR parish. Let's say I start with a simple random sample of 100 residents and calculate the sample mean. How would the sampling distribution of    change if I increase the sample size to 1,000 residents?