Find the margin of error.
-Grandma Gertrude's Chocolates, a family owned business, has an opportunity to
Supply its product for distribution through a large coffee house chain. However, the
Coffee house chain has certain specifications regarding cacao content as it wishes to
Advertise the health benefits (antioxidants) of the chocolate products it sells. In order to
Determine the mean % cacao in its dark chocolate products, quality inspectors sample 36
Pieces. They find a sample mean of 55% with a standard deviation of 4%.
What is the margin of error at 95% confidence?
A) 1.13%
B) 1.36%
C) 0.67%
D) 4%
E) 1.67%

Question

Quizplus · Accepted Answer

The margin of error (ME) is calculated using the formula: ME = Z * (σ/√n), where Z is the Z-score for the confidence level (1.96 for 95%), σ is the standard deviation, and n is the sample size. Here, ME = 1.96 * (4/√36) = 1.96 * (4/6) = 1.96 * 0.67 = 1.31%, which is closest to 1.36%.

Find the Margin of Error