1. Suppose quality control inspectors at the coffee house chain take a sample of 100 pieces of this chocolate product from an incoming shipment. They find a sample average of 60% cacao with a standard deviation of 8%. What is the standard error of the sampling distribution of the sample mean?
To calculate the standard error of the sampling distribution of the sample mean, you would need the formula:
Standard Error = Standard Deviation / Square Root of Sample Size
In this case, you have the standard deviation of the population (8%) and the sample size (100).
Using the formula, you can calculate the standard error as follows:
Standard Error = 8% / sqrt(100)
To calculate the square root of 100, you take the square root of the sample size, which is 10.
Standard Error = 8% / 10
Simplifying the expression, 8% divided by 10 is 0.8%.
Therefore, the standard error of the sampling distribution of the sample mean is 0.8%.