In: Statistics and Probability
We are interested in seeing if there are any meaningful differences in the willingness of certain tapestry segments to buy organic products. Top Tier reports purchasing an average of 3.8 organic items per week per family with a standard deviation of 2, while Pleasantville reports purchasing 2.3 organic items per week per family with a standard deviation of 0.5. The sample size for Top Tier is 50 and the sample size for Pleasantville is 100. Test the hypothesis at a 95% confidence level. Explain.