1. Consider a normally distributed population with a standard deviation of 64. If a random sample of 90 from the population produces a sample mean of 250, construct a 95% confidence interval for the true mean of the population.
2.A psychologist is studying learning in rats (to run a maze). She has a sample of 40 rats and their mean time to run the maze if 5 minutes with a standard deviation of 1. Estimate the average time to run the maze with a 95% confidence interval.
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