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NeX [460]
4 years ago
7

Help me please And thank you

Mathematics
2 answers:
irina1246 [14]4 years ago
6 0
The answer is A hopes this helps :)
valkas [14]4 years ago
4 0

Answer:

The correct option is A.

Step-by-step explanation:

Sample size(n)= 196

Sample mean = 12 ug/m³

Standard deviation (s)= 3.5 ug/m³

The formula for confidence interval is

C.I=\bar{x}\pm z^*\times \frac{s}{\sqrt{n}}

Where, \bar{x} is sample mean, s is sample standard deviation, n is sample size and z* is z-score at given confidence limit.

The value of z-score at 99.7% is 3.

C.I=12\pm 3\times \frac{3.5}{\sqrt{196}}

C.I=12\pm 0.75

C.I=[12-0.75,12+0.75]

C.I=[11.25,12.75]

The required solution is 11.25 ug/m³ - 12.75 ug/m³.

Therefore the correct option is A.

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<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

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