Question

08.01 MC)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):

Number of hours in school per day 4 5 6 7 8
Sample A: Number of students 70 100 125 135 70
Sample B: Number of students 80 90 120 125 85


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

Meg is correct

Explanation:

From the question, we have:

`Hours:`
`1`
`2`
`3`
`4`
`5`

Required

The average

The average hour is calculated using:

`\frac{}{x} =([x)/(n)`

So, we have:

`\frac{}{x} =(1+2+3+4+5)/(5)`

`\frac{}{x} =(15)/(5)`

`\frac{}{x} =3`

Meg calculated the mean as 3; while Tara calculated the mean as 4.

Hence, we can conclude that Meg is correct

❀