Sample Size from ME = 7%, σ = 6 & 99% Confidence Level
Example problem workout with steps & calculation summary from ME = 7%, population standard deviation σ = 6 & 99% confidence level to find the right sample size for statistical survey or experiment.
| Calculation Summary | |
|---|---|
| Margi of Error | 7% |
| Standard deviation (σ) | 6 |
| Confidence level | 99% |
| Sample size (n) | 48715 |
Work with Steps for ME = 7%, s = 6 & 99% confidence
Question:
For 99% confidence level of results, what is the sample size that produce statistically significant results for an infinite population has 6 standard deviation and margin of error 7%.
Workout :For 99% confidence level of results, what is the sample size that produce statistically significant results for an infinite population has 6 standard deviation and margin of error 7%.
step 1 Address the formula input parameters and values
margin of error = 7%
MOE = 7/100 = 0.07
population standard deviation (σ) = 6
Z-value for 99% confidence level = 2.575
step 2 Substitute MOE, population standard deviation & Z-value in the below sample size formula
n = [z x σMOE]2
n = [2.575 x 60.07]2
step 3 Simplify the Above expression
= [15.450.07]2
= [220.7143]2
= 48715
48715 is the sample size calculated from ME = 7%, s = 6 & 99% confidence
