Researchers at Carnegie Mellon University have supposedly found that people find sandwiches tastier if they were made by someone else, rather than if they make the sandwiches themselves (2013). A researcher at SDSU decides to replicate the study to investigate whether people really do find sandwiches tastier if the sandwich maker is someone else versus themselves. The researcher learns that the average tastiness rating of self-made sandwiches in the population is µ= 3.4 on a 6-point scale (higher scores indicate greater tastiness), with a standard deviation of σ = 0.53. The researcher enlists his assistant, Mr. Pickles, and instructs him to make a large quantity of a basic sandwich. The researcher obtains a sample of 48 SDSU students and asks them to each eat one of the sandwiches made by Mr. Pickles and rate the tastiness of the sandwich using the same 6-point scale. The average rating of tastiness of the sandwich was M = 3.6. Use α = .05 for this significance test. Step 2: Assume that we draw all possible random samples of 48 people from the population of all adults. What would be the appropriate standard error (SE) for a distribution of samples of size 48? Give an interpretation in words of what this number means.

Answer to a math question Researchers at Carnegie Mellon University have supposedly found that people find sandwiches tastier if they were made by someone else, rather than if they make the sandwiches themselves (2013). A researcher at SDSU decides to replicate the study to investigate whether people really do find sandwiches tastier if the sandwich maker is someone else versus themselves. The researcher learns that the average tastiness rating of self-made sandwiches in the population is µ= 3.4 on a 6-point scale (higher scores indicate greater tastiness), with a standard deviation of σ = 0.53. The researcher enlists his assistant, Mr. Pickles, and instructs him to make a large quantity of a basic sandwich. The researcher obtains a sample of 48 SDSU students and asks them to each eat one of the sandwiches made by Mr. Pickles and rate the tastiness of the sandwich using the same 6-point scale. The average rating of tastiness of the sandwich was M = 3.6. Use α = .05 for this significance test. Step 2: Assume that we draw all possible random samples of 48 people from the population of all adults. What would be the appropriate standard error (SE) for a distribution of samples of size 48? Give an interpretation in words of what this number means.

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