The coffee and soup machine at the local bus station is supposed to fill cups with 6 ounces of soup.Ten cups of soup are bought 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 percent 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 needed for a 95% confidence interval with a margin of error of 0.03 ounces, we use the formula for sample size: n = (Z * σ / E)^2, where 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 ≈ 97.

The Coffee and Soup Machine at the Local Bus Station