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MaxxL
10.07.2019 •
Mathematics
What can be measured in nanometers?
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Ответ:
Nanometers are a really small measurement, one billionth of a meter, I believe.
So nanometers is used to describe tiny stuff, like atoms of a water molecule, and waves of light.
Ответ:
- 0.196 < μ < +0.196
Step-by-step explanation:
Given Data:n = 100
σ = 1
X bar (x⁻) = 0
1 - ∝ =95%
To Find:μ = ?
Formula:= X bar (x⁻) ± Z ∝/₂ * σ/√n
Solution:Finding ∝:
To find ∝, we will convert the confidence interval i.e. 95% into decimal by dividing it with 100 and subtracting it from 1.
1 - ∝ = 95%
1 - ∝ = 95/100
1 - ∝ = 0.95
∝ = 1 - 0.95
∝ = 0.05 (1)
We have to calculate ∝/2 so dividing both sides of (1) with 2
∝/2 = 0.05/2
∝/2 = 0.025
We will find the value of 0.025 in z-table. The value is:
Z ∝/2 = 1.96
For further calculations, we will use the value of Z∝/2.
Putting all values in the formula.
= 0 ± 1.96 * 1 / √100
We can also write this in the following form:
0 - 1.96/ √100 < μ < 0 + 1.96 / √100
- 1.96 / 10 < μ < 1.96 / 10 ∴ √100 = 10
- 0.196 < μ < + 0.196