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In: Statistics and Probability

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

The weights of four randomly and independently selected bags of potatoes labeled 20 pounds were found to be 20.7​, 21.4​, 20.9​, and 21.2 pounds. Assume Normality. Answer parts​ (a) and​ (b) below.

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

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

A.The interval does not capture 20 pounds, so there is enough evidence to reject a mean weight of 20 pounds. It is not plausible the population mean weight is 20  pounds.

B.The interval captures 20 ​pounds, so there is enough evidence to reject a mean weight of 20 pounds. It is not plausible the population mean weight is 20 pounds.

C.The interval captures 20 ​pounds, so there is not enough evidence to reject a mean weight of 20 pounds. It is plausible the population mean weight is 20 pounds.

D.The interval does not capture 20 ​pounds, so there not is enough evidence to reject a mean weight of 20 pounds. It is plausible the population mean weight is 20 pounds.

E.There is insufficient information to make a decision regarding the rejection of 20 pounds. The sample size of 4 bags is less than the required 25.

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