Question

Jorge works at a dairy farm that ships eggs to restaurants. Jorge decides to try new packaging for the eggs to see if it results in fewer broken eggs. Jorge packs a random sample of 8 shipments with the current packaging and a random sample of 8 shipments with the new packaging. He collects data from the restaurants on the number of broken eggs in each shipment. Current packaging: 5, 9, 4, 4, 5, 5, 7, 4 New packaging: 3, 6, 6, 3, 5, 5, 6, 5 The means are 5.375 and 4.875 respectively, for a difference of 0.5. Jorge wants to know if this is significant or if it could be caused by chance. To find out, he re-randomizes the results 12 times and finds the differences of the means. The dot plot shows the data. What is the best conclusion for Jorge to make based on the data

Answer 1

The difference of 0.5 is not significant because the re-randomizations show that it is within the range of what could happen by chance.

Explanation:

For the means which are given as 5.375 and 4.875 respectively, for a difference of 0.5.

The best conclusion for Jorge to make based on the data is that - The difference of 0.5 is not significant because the re-randomizations show that it is within the range of what could happen by chance