Project 3: Grocery Shopping For this project, you are going to make a grocery shopping trip %u2013 well, you might just have to do it anyway: the refrigerator is empty. What I need from you is an analysis using Hypothesis Testing on any grocery stores related topic. Here are a couple of topics for you to entertain:

Study 1: Because of the gloomy economic situation, you have decided to monitor more carefully your spending in grocery. You have long suspected that shopping Publix is cheaper than shopping Piggly Wiggly. Now you want to test it.
Study 2: In the campaign wave of %u201Cbuying local,%u201D you are worried that local grocery products may cost you more than non-locals, but your spouse argues that the opposite may be true because local products save you transportation cost. You set out a plan to test who is right.
Study 3: Organic food is believed to be healthier and safer, and you are willing to pay a premium for it. But, is it really true that organic food cost more than non-organic food? You want to test it. If it turns out to be true, you also want to find out the average and the confidence interval for the premium.

Your study could be any of the above or a grocery stores related topic that interests you and worth pursuing using Hypothesis Testing. Note please pursue one study only. Your report will be graded on quality, not on its length. Again it is open project but you may find including the following helpful in writing the report:

- Introduction to the study. What prompts you to conduct your study? It could an expansion of one study abovementioned or a description of a different study of your interest. I hope your motivation is more than %u201Cto finish project 3, I decide to study%u2026%u201D It is not a class project. It is a real project.
- Sampling (design of the study) is very important to study of this kind. How big should the sample size be? What should you sample? To collect the data, you cannot include all products sold in a grocery store(s). You need to make sure your sample is representative. Justify your sampling mechanism.
- We have learned eight different hypothesis tests. Is it two samples or one sample? Carefully choose which one(s) to use and state why.

For project 3, if my goal is to test whether there is any difference in grocery prices between Piggly Wiggly and Publix, which among the following statement(s) regarding study design, data collection and hypothesis test is/are correct?

a. We have to make sure grocery items sampled from Piggly Wiggly are different from grocery items sampled from Publix.
b. We have to make sure grocery items sampled from Piggly Wiggly are the same with grocery items sampled from Publix.
c. The more data we collect, the better; because we can use 2-sample z test instead of 2-sample t test if the sample size is greater than 30.
d. We should use paired t test.
e. We should use 2-sample t test with unequal standard deviation.
f. We should use 2-sample pooled-t test (equal standard deviation).