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The weights of four randomly and independently selected bags of potatoes labeled 20.0 pounds were found to be 20.6, 21.4, 20.6, and 21.2 pounds. Assume

The weights of four randomly and independently selected bags of potatoes labeled 20.0 pounds were found to be 20.6, 21.4, 20.6, and 21.2 pounds. Assume Normality. Answer parts(a) and(b) below.

a. Find a95% 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 20.0 pounds?

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