The mean on a statewide biology test was 76 with a standard deviation of 11. Harris county sampled the scores of some of its stu

Question

3 years ago

8

The mean on a statewide biology test was 76 with a standard deviation of 11. Harris county sampled the scores of some of its stu

dents and reported a mean of 80 with a margin of error of ± 2.3.
What is the range of reasonable means for Harris County's sample?

Range: ____ to ____

Mathematics

1 answer:

sveticcg [70] · Answer 1 · 2022-10-23T19:51:09+03:00

The margin of error would tell how many percentage differs from Harris County's sample

The range of reasonable means for Harris County's sample is 77.7 to 82.3

<h3>How to determine the range?</h3>

The given parameters are:

Population mean, $\mu = 76$
Population standard deviation, $\sigma = 11$
Sample mean, $\bar x = 80$
Margin of error , $E = 2.3$

The range (R) is calculated as:

$R = \bar x \pm E$

Substitute known values

$R = 80 \pm 2.3$

Expand

$R = (80 - 2.3,80 + 2.3)$

Evaluate the difference and sum

$R = (77.7,82.3)$

Hence, the range of reasonable means for Harris County's sample is 77.7 to 82.3