A food company wishes to determine whether a newly designed potato chip bag increases the length of
Question:
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 Size | 35 | 40 | -5 |
Sample Mean | 21.2 | 20.8 | 0.4 |
Sample Std. Deviation | 2.5 | 2.8 | 0.3 |
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. |