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oksian1 [2.3K]
2 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]2 years ago
3 0

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

Read more about margin of error at:

brainly.com/question/25690706

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