The coffee/soup machine at the local bus station is supposed to fill cups with 6 ounces of soup.Ten cups of soup are brought with results of a mean of 5.93 ounces and a standard deviation of 0.13 ounces.How large a sample of soups would we need to be 95% confident that the sample mean is within 0.03 ounces of the population mean?
A)97
B)96
C)73
D)62
E)10

Question

Quizplus · Accepted Answer

To find the sample size, use the formula for the sample size of a mean: n = (Z * σ / E)^2. Here, Z is the Z-score for 95% confidence (1.96), σ is the standard deviation (0.13), and E is the margin of error (0.03). Plugging in these values gives n ≈ 96.04, which rounds up to 97.

The Coffee/soup Machine at the Local Bus Station Is Supposed