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A food company wishes to determine whether a newly designed potato chip bag increases the length of time a bag of chips remains fresh on

A food company wishes to determine whether a newly designed potato chip bag increases the length of time a bag of chips remains fresh on the grocery shelf. A random sample of potato chips with the old design of the bag was compared to a random sample of potato chips with the new bag. Summary statistics pertaining to the number of days the chips remained fresh are given below. At a 95% level of confidence (α = .05), the company wishes to investigate if the new bag has an increased freshness time over the old bag.

New Bag (Group 1)Old Bag (Group 2)Difference (New-Old)
Sample Size3540-5
Sample Mean21.220.80.4
Sample Std. Deviation2.52.80.3

What is the Conclusion of this study?

At a 95% level of confidence, there is sufficient evidence that the new bag has an increased freshness time over the old bag.

At a 95% level of confidence, there is insufficient evidence that new bag has an increased freshness time over the old bag.

At a 95% level of confidence, there is sufficient evidence that new bag has a different mean freshness time than the old bag.

At a 95% level of confidence, there is insufficient evidence that new bag has a different mean freshness time than the old bag.

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