1. Your college or university wishes to obtain reliable information about student perceptions of administrative communication. Describe the steps needed to design a sampling plan for this situation based on your knowledge of the structure and organization of your college or university.
2. Your company wants to design a sampling plan using either a simple random sampling, stratified sampling, or cluster sampling for a study of their customer base? What would be the pros and cons of using each of these methods?
3. A marketing study found that the mean spending in 15 categories of consumer items for 297 respondents in the 18-34 age group was $91.86 with a standard deviation of $50.90. For 536 respondents in the 35+age group, the mean and standard deviation were $81.53 and $45.29, respectively. Develop 95% confidence intervals for the mean spending amounts for each age group. What conclusions can you draw? (Use T)
4. If, based on a sample size of 200, a political candidate found that 125 people would vote for her in a two-person race, what is the 99% confidence interval for her expected proportion of the vote? Would she be confident of winning based on this poll? (Use proportion)
5. A popular soft drink is sold in 2-liter (2,000-milliliter) bottles. Because of variation in the filling process, bottles have a mean of 2,000 milliliters and a standard deviation of 18, normally distributed.
   1. If the manufacturer samples 100 bottles, what is the probability that the mean is less than 1,995 milliliters?
   2. What mean overfill or more will occur only 10% of the time for the sample of 100 bottles?