The weights of four randomly and independently selected bags of tomatoes labeled 5 pounds were found to

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The weights of four randomly and independently selected bags of tomatoes labeled 5 pounds were found to be 5.1, 5.0, 5.3, and 5.1 pounds. Assume Normality.

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

b. Does the interval capture 5.0 pounds? Is there enough evidence to reject a mean weight of 5.0 pounds?

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