Question

Noah is studying dogs to determine their interest in blue toys versus red toys. He splits a group of 20 dogs into 2 groups. One group is given blue toys and the other is given red toys. Noah has the dogs play with the toys until they lose interest. He finds that the dogs that had blue toys played with them 2 minutes longer than the dogs that played with red toys. Noah rerandomizes the data, calculates the difference between the means, and creates the dot plot shown below. Based on the data, can Noah conclude the difference is significant?.

Answer 1

Yes, Noah can conclude the difference is significant because a 2 minute difference is not likely to happen by chance

There must be something that exist between the dogs and the color that could  determine this outcome

hope this helps

Answer 2

Noah re randomizes the data, calculates the difference between the means, and creates the dot plot shown below. Based on the data, can Noah conclude the difference is significant?

Answer: by looking at the graph we can make the conclusion that Yes, Noah can conclude the difference is significant because a 2-minute difference is not likely to happen by chance. Please see the graph in the attachments.

I hope it helps, Regards.