The coffee and soup machine at the local subway 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

The sample size needed to be 95 percent confident that the sample mean is within 0.03 ounces of the population mean can be calculated using the formula:n = (Z^2 * s^2) / E^2where:n is the sample sizeZ is the z-score for the desired confidence levels is the sample standard deviationE is the margin of errorPlugging in the given values, we get:n = (1.96^2 * 0.13^2) / 0.03^2n = 96.04Therefore, the sample size needed is 96.

The Coffee and Soup Machine at the Local Subway Station