# discussion board question and responses hypothesis testing

Please provide an answer to the following discussion post and responses to my classmates:

(Answer this post) Describe a hypothesis test that you would like to conduct. Be sure to include the null and alternate hypotheses as well as the data you would need to collect to conduct the test. Discuss which level of significance you would use and why you would use that level. Further explain what you would do if you obtained a test statistic that was equal to the critical value.

I don’t know if everyone has had Subway or thought of this but every time order a sandwich I think to myself what size am I actually getting. One hypothesis test I would love to do would be if the subway footlong sandwich is actually 12 inches long like they advertise. My alternative hypothesis would be that it is not 12 inches but that is less and not living up the expectation. In theory, I would write that Subway advertises that they have a footlong sub sandwich. A footlong is equal to 12 inches. Meaning that every sub you get should be 12 inches. My alternative thinking would be that Subway footlong is not 12 inches but less. We would use the p-value approach to test against the null hypothesis.

To test this theory I would need to inspect several stores like at least 10 stores and buy at least one footlong sandwich from each store. I would use a standard measuring ruler and measure each sandwich. If the sandwiches are less than 12inches long than my null hypothesis would be not accepted and my alternate hypothesis is correct. In an article, I found online “Subway’s justification is that each footlong loaf is formed from exactly the same weight of dough but the inconsistencies of kneading, rising, shaping and proofing entail that on occasion some loaves fail to measure up”(Arumugam 2013). There are a lot of variables that we would need to take into value. This would be one-tailed test and all the alpha probability is placed in just one tail (Alexander, Illowsky & Dean).

I am very fond of Subway and will always eat fresh with them, but I will always know that the footlong is not always 12 inches because of the rising of the yeast and shape, etc is the main reason that it is not actual 12 inches. I don’t think that my null hypothesis would be true due to the fact that no bread baked is the same size as the other.

Reference:

Alexander, H., Illowsky, B., & Dean, S. (2017). Introductory Business Statistics. Openstax. Retrieved February 27, 2020 from: https://openstax.org/details/books/introductory-bu…

Arumugam, N. â€œWhy Lawsuits Over Subway’s Short Footlong Sandwiches Are Baloney.â€ Forbes, Forbes Magazine, 28 Jan. 2013, www.forbes.com/sites/nadiaarumugam/2013/01/27/why-lawsuits-over-subways-short-footlong-sandwiches-are-baloney/.