Question

Anthony is studying how quickly children tire based on the amount of sugar they ingest. He splits a group of 20 children into 2 groups. One group is given sugar and the other is not. Anthony asks the children to start playing at a playground at the same time, and to stop when they tire, measuring the time each child stops playing. He finds that the children who did not ingest sugar played 2 minutes longer than those who did ingest sugar. Anthony rerandomizes the data, calculates the difference between the means, and creates the dot plot shown below. Based on the data, can Anthony conclude the difference is significant?

A: Yes Anthony can conclude the difference is significant because a 2-minute difference is not likely to happen by chance
B: No, Anthony cannot conclude the difference is significant because a 2-minute difference is likely to happen by chance.
C: Yes, Anthony can conclude the difference is significant because 0.25 is the difference in means that occurs most often.
D: No, Anthony cannot conclude the difference is significant because 0.25 is the difference in means that occurs most often.

Answer 1

Option C, Anthony can conclude the difference is significant because 0.25 is the difference in means that occurs most often.

Step-by-step explanation:

Level of significance measures the unlikeliness in a hypothesis's against the measured reading.

0.05 is a common level of significance which depicts that there are 5% chances of a type I error thereby rejecting a true null hypothesis in a one way test.

In two way test it depicts that there are 2.5% chances of a type I error thereby rejecting a true null hypothesis

It is the probability of rejecting a nulll hypothesis with a probability of test suffering an error of type I type

Hence, option C is correct

Answer 2

I think the correct answer from the choices listed above is option C. Based on the data, Anthony can the difference is significant because 0.25 is the difference in means that occurs most often. Hope this answers the question. Have a nice day.