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Sara is studying how quickly adults tire after eating turkey. She splits a group of 20 adults into 2 groups. One group is given turkey to eat and the other group is not given anything to eat. Sara asks the adults to start exercising at the same, and to stop when they tire, measuring the time each adult stops exercising. She finds that the adults who did not eat turkey exercised 2 minutes longer than those who did eat turkey. Sara rerandomizes the data, calculates the difference between the means, and creates the dot plot shown below. Based on the data, can Sara conclude the difference is significant?


dot plot ranging from negative two to two in increments of point five with frequencies of two, three, four, five, six, nine, six, twelve, fifteen, twelve, nine, ten, five, four, three, and two respectively


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

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Answer:

Answer is Yes, Sara can conclude the difference is significant because a 2-minute difference is not likely to happen by chance.

Step-by-step explanation:

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

Given that

Sara is studying how quickly adults tire after eating turkey. She splits a group of 20 adults into 2 groups.

One group is given a turkey to eat and the other group is not given anything to eat.

Sara asks the adults to start exercising at the same and to stop when they tire, measuring the time each adult stops exercising.

She finds that the adults who did not eat turkey exercised 2 minutes longer than those who did eat turkey.

We have to determine

Sara rerandomizes the data, calculates the difference between the means, and creates the dot plot shown below.

Based on the data, can Sara conclude the difference is significant?

According to the question

Level of significance measures the unlikeliness of 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 null hypothesis with a probability of test suffering an error of type based on the data, Sara can conclude that the difference is significant because when we are analyzing data and reach a statistically significant result then nothing or no event happens by chance.

Sara can conclude that the difference is significant because a two minutes difference is not likely to happen by chance.

In analyzing data, a statistically significant result is one that is not attributed to chance, that is, there is no way the event could have occurred by chance.

Hence, Yes, Sara can conclude the difference is significant because a 2-minute difference is not likely to happen by chance.

To know more about Mean click the link given below.

https://brainly.com/question/8203604

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