To evaluate the effect of a treatment, a sample is obtained and a treatment is administered to the individuals in the sample. After treatment, the sample mean is found to be X = 14.8 with a standard deviation of ô = 4.1. Construct a 95% confidence interval for μ, the population mean for the treatment group, assuming the sample contains: (a) N = 15 individuals. (b) N = 30 individuals. (e) Comparing your answers for parts (a) and (b), how does the size of the sample influence the width of your confidence interval for u?

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A: