The weights of four randomly and independently selected bags of potatoes labeled 20 pounds were found to

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The weights of four randomly and independently selected bags of potatoes labeled 20 pounds were found to be 21.0, 21.5, 20.5, and 21.2 pounds. Assume Normality.

a. Find a 95% confidence interval for the mean weight of all bags of potatoes.

b. Does the interval capture 20.0 pounds? Is there enough evidence to reject a mean weight of 20 pounds?

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