Respuesta :
Answer:
Yes, a brain volume of [tex] 1392.7 cm^{3}[/tex] is significantly high.
Step-by-step explanation:
Given
- Standard deviation = [tex] 128.9 cm^{3}[/tex]
- Mean = [tex] 1094.9 cm^{3}[/tex]
The range rule of thumb indicates that the usual values are within 2 standard deviations from the mean:
minimum usual value = mean - 2 * standard deviation = [tex]1094.9 - 2*128.9=837.1 cm^{3}[/tex]
maximum usual value = mean + 2 * standard deviation = [tex]1094.9 + 2*128.9=1352.7 cm^{3}[/tex]
We can see that [tex] 1392.7 cm^{3}[/tex] is not between [tex] 837.1 cm^{3}[/tex] and [tex] 1352.7 cm^{3}[/tex], which indicates that this value is unusually high.
Using the range rule of thumb, it is found that:
- The limit separating the values that are significantly low is 837.1 cm³.
- The limit separating the values that are significantly high is 1352.7 cm³.
- 1392.7 cm³ is above 1352.7 cm³, thus, a brain volume of 1392.7 cm³ would be considered significantly high.
----------------------------
The range rule of thumb states that:
- Measures that are more than 2 standard deviations below the mean are significantly low.
- Measures that are more than 2 standard deviations above the mean are significantly high.
----------------------------
- The mean is 1094.9.
- The standard deviation is 128.9.
----------------------------
- 2 standard deviations below the mean is given by:
[tex]1094.9 - 2(128.9) = 837.1[/tex]
- The limit separating the values that are significantly low is 837.1 cm³.
----------------------------
- 2 standard deviations above the mean is given by:
[tex]1094.9 + 2(128.9) = 1352.7[/tex]
- The limit separating the values that are significantly high is 1352.7 cm³.
----------------------------
- 1392.7 cm³ is above 1352.7 cm³, thus, a brain volume of 1392.7 cm³ would be considered significantly high.
A similar problem is given at https://brainly.com/question/24126815
