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Sample Size when Probable Error is Considered Formula

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Sample Size is the measure of the number of individual samples to establish the confidence limits. Check FAQs

N = {(\frac{b \cdot σ n-1}{S e})}^{2}

N - Sample Size?b - Variable 'b' in Probable Error?σ_n-1 - Standard Deviation of the Sample of Size N?S_e - Probable Error?

Sample Size when Probable Error is Considered Example

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Here is how the Sample Size when Probable Error is Considered equation looks like with Values.

Here is how the Sample Size when Probable Error is Considered equation looks like with Units.

Here is how the Sample Size when Probable Error is Considered equation looks like.

2621.44 = {(\frac{8 \cdot 1.28}{0.2})}^{2}

2621.44 = {(\frac{8 \cdot 1.28}{0.2})}^{2}

2621.44 = {(\frac{8 \cdot 1.28}{0.2})}^{2}

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Sample Size when Probable Error is Considered Solution

Follow our step by step solution on how to calculate Sample Size when Probable Error is Considered?

FIRST Step Consider the formula

N = {(\frac{b \cdot σ n-1}{S e})}^{2}

Next Step Substitute values of Variables

∴

N = {(\frac{8 \cdot 1.28}{0.2})}^{2}

Next Step Prepare to Evaluate

∴

N = {(\frac{8 \cdot 1.28}{0.2})}^{2}

LAST Step Evaluate

∴

N = 2621.44

Sample Size when Probable Error is Considered Formula Elements

Variables

Sample Size

Sample Size is the measure of the number of individual samples to establish the confidence limits.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Sample Size

Variable 'b' in Probable Error

Variable 'b' in Probable Error is the half-range of an interval about a central point for the distribution.

Symbol: b

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Variable 'b' in Probable Error

Standard Deviation of the Sample of Size N

Standard Deviation of the Sample of Size N is the quantity expressed by how much it differs from the mean value for the group and also the square root of its variance.

Symbol: σ_n-1

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Standard Deviation of the Sample of Size N

Probable Error

Probable Error is the half-range of an interval about a central point for the distribution and in Gumbel's method it defines the range of effective measurement increments.

Symbol: S_e

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Probable Error

Other formulas in Confidence Limits category

Go Probable Error

S e = b \cdot (\frac{σ n-1}{\sqrt{N}})

Go Variate 'b' given Probable Error

b = S e \cdot \frac{\sqrt{N}}{σ n-1}

Go Equation for Variate 'b' using Frequency Factor

b = \sqrt{1 + (1.3 \cdot K z) + (1.1 \cdot {K z}^{2})}

Go Confidence Interval of Variate

x 1 = x T + f c \cdot S e

How to Evaluate Sample Size when Probable Error is Considered?

Sample Size when Probable Error is Considered evaluator uses Sample Size = ((Variable 'b' in Probable Error*Standard Deviation of the Sample of Size N)/Probable Error)^2 to evaluate the Sample Size, The Sample Size when Probable Error is Considered formula is defined as the representative of the overall medium used to establish probable error in Gumbel's Probable Distribution function for extreme conditions. Sample Size is denoted by N symbol.

How to evaluate Sample Size when Probable Error is Considered using this online evaluator? To use this online evaluator for Sample Size when Probable Error is Considered, enter Variable 'b' in Probable Error (b), Standard Deviation of the Sample of Size N (σ_n-1) & Probable Error (S_e) and hit the calculate button.

FAQs on Sample Size when Probable Error is Considered

What is the formula to find Sample Size when Probable Error is Considered?

The formula of Sample Size when Probable Error is Considered is expressed as Sample Size = ((Variable 'b' in Probable Error*Standard Deviation of the Sample of Size N)/Probable Error)^2. Here is an example- 2621.44 = ((8*1.28)/0.2)^2.

How to calculate Sample Size when Probable Error is Considered?

With Variable 'b' in Probable Error (b), Standard Deviation of the Sample of Size N (σ_n-1) & Probable Error (S_e) we can find Sample Size when Probable Error is Considered using the formula - Sample Size = ((Variable 'b' in Probable Error*Standard Deviation of the Sample of Size N)/Probable Error)^2.

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Sample Size when Probable Error is Considered Formula

Sample Size when Probable Error is Considered Example

Sample Size when Probable Error is Considered Solution

Sample Size when Probable Error is Considered Formula Elements

Other formulas in Confidence Limits category

How to Evaluate Sample Size when Probable Error is Considered?

FAQs on Sample Size when Probable Error is Considered

Variable Name