Question

(Essay Worth 10 points) Below are the data collected from two random samples of 500 American students on the number of hours they spend in school per day (rounded to the nearest hour):
Meg concludes that students spend a mean of 7 hours in school each day. Tara thinks the mean is 6 hours. Who is correct—Meg or Tara? Explain your answer in two or three sentences. Make sure to use facts to support your answer.

Answer 1

The claim of Tara is correct about who thinks the mean of the students is 6 hours in school each day.

What is mean of the data set?

The mean of the data is the average value of the given data. The mean of the data is the ratio of the sum of all the values of data to the total number of values of data.

The data which is collected from two random samples of a total 500 American students on the number of hours spend in school per day.

The mean of the data from sample A and B is,

$\text{Mean}=\dfrac{4(70+80)+5(100+90)+6(125+120)+7(135+125)+8(70+85)}{70+80+100+90+125+120+135+125+70+85}\\\text{Mean}=\dfrac{6080}{1000}\\\text{Mean}=6.08$

The mean is approx 6 hours in school each day.

Now, Meg concludes that mean of students is 7 hours in school each day while Tara thinks the mean is 6 hours.

Thus, the claim of Tara is correct about who thinks the mean of the students is 6 hours in school each day.

Learn more about the mean of the data here;

brainly.com/question/14532771

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