Sample Size from ME = 5%, σ = 2.65 & 95% Confidence Level
Example problem workout with steps & calculation summary from ME = 5%, population standard deviation σ = 2.65 & 95% confidence level to find the right sample size for statistical survey or experiment.
| Calculation Summary | |
|---|---|
| Margi of Error | 5% |
| Standard deviation (σ) | 2.65 |
| Confidence level | 95% |
| Sample size (n) | 10791 |
Work with Steps for ME = 5%, s = 2.65 & 95% confidence
Question:
What is the sample size required for experiment results to be statistically significant at 95% confidence level for the population with 2.65 standard deviation and 5% margin of error.
Workout :What is the sample size required for experiment results to be statistically significant at 95% confidence level for the population with 2.65 standard deviation and 5% margin of error.
step 1 Address the formula input parameters and values
margin of error = 5%
MOE = 5/100 = 0.05
population standard deviation (σ) = 2.65
Z-value for 95% confidence level = 1.960
step 2 Substitute MOE, population standard deviation & Z-value in the below sample size formula
n = [z x σMOE]2
n = [1.960 x 2.650.05]2
step 3 Simplify the Above expression
= [5.1940.05]2
= [103.88]2
= 10791
10791 is the sample size calculated from ME = 5%, s = 2.65 & 95% confidence
