Assignment:
Observing a sample of 35 morning customers at a convenience store, a researcher finds their average stay in the store is 3.0 minutes, with a standard deviation of 0.9 minutes. For a sample of 43 afternoon customers, the mean and standard deviation were 3.5 and 1.8 minutes, respectively. Using the 0.05 level of significance, determine whether the population means could be equal. Construct and interpret the 95% confidence interval for the difference between the population means.
Provide complete and step by step solution for the question and show calculations and use formulas.