SNHU Applications of Confidence Intervals In Statistics Discussion
Mathematics
For your initial post, choose one of the following two prompts to respond to. Then in your two follow up posts, respond at least once in each option. Use the discussion topic as a place to ask questions, speculate about answers, and share insights. Be sure to embed and cite your references for any supporting images.
Write a confidence interval problem using one of the options below. For whichever option you choose, gather the appropriate data and post your problem (without a solution) in the discussion topic. Allow time for your classmates to post their solutions, and then respond to your own post with the solution for others to check their work.
Option 1:
Think about a population mean that you may be interested in and propose a confidence interval problem for this parameter. Your data values should be approximately normal.
For example, you may want to estimate the population mean number of times that adults go out for dinner each week. Your data could be that you spoke with seven people you know and found that they went out 2, 0, 1, 5, 0, 2, and 3 times last week. You then would choose to calculate a 95% (or another level) confidence interval for the population mean.
Assume a random sample was chosen, which is required to determine a confidence interval.
Option 2:
Think about a population proportion that you may be interested in and propose a confidence interval problem for this parameter.
For example, you may like to estimate the population proportion of adults in the US who own SUVs. The data could be that you researched online by looking at a local dealership to find that 142 of the 432 vehicles sold are SUVs. You want to calculate a 90% (or another level) confidence interval for the population proportion. Assume a random sample.
For your response to a classmate (two responses are required, one in each option), solve a classmate’s confidence interval problem using a confidence level not previously used for that specific classmate’s problem. Make sure that you use appropriate terminology to state the problem and explain your solution.
