Find the sample size.
-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. Past data
Indicate a standard deviation of 4%. If quality control inspectors wish to estimate the %
Cacao to within 1% of the true mean with 95% confidence, how many pieces of
Chocolate should they sample?
A) 29
B) 62
C) 54
D) 89
E) 36

Question

Quizplus · Accepted Answer

To find the sample size, use the formula for sample size in estimating a mean: n = (Z*σ/E)^2. For 95% confidence, Z is 1.96, σ is 4%, and E is 1%. Plugging these values in gives n = (1.96*4/1)^2 = 61.47, which rounds up to 62.

Find the Sample Size