1. Evaluating Power for a Manufacturing Quality Test
Quality Control EngineerBackground
A factory produces widgets with a target weight of 100g and a historical standard deviation of 15g. The engineer can only sample 64 widgets per batch due to resource constraints.
Problem
Determine if a sample size of 64 is powerful enough to detect a 5g shift in the mean weight.
How to use
Select 'Mean Difference', set sample size to 64, null mean to 100, alternative mean to 105, and standard deviation to 15.
{
"testType": "mean",
"alternative": "two-sided",
"alpha": 0.05,
"sampleSize": 64,
"nullMean": 100,
"alternativeMean": 105,
"standardDeviation": 15
}Outcome
The calculator reveals a statistical power of 76.01%, indicating a moderate chance of detecting the 5g difference with the current sample size.