A microbrewery plans to conduct a study on beer consumption among men between the ages of 29 and 45.A pilot test indicated that men in this age category consume an average of 6 beers per week with a standard deviation of 2.3.If the microbrewery seeks a 95% confidence level and a precision of .5 beers,what size sample should be used in the study?
A) 70
B) 120
C) 300
D) 456
E) 987

Question

Quizplus · Accepted Answer

The sample size needed for a 95% confidence level and a precision of .5 beers is 120. This can be calculated using the formula: n = (Z^2 * s^2) / e^2, where Z is the z-score for the desired confidence level, s is the standard deviation, and e is the precision. For a 95% confidence level, Z = 1.96. Plugging in the values, we get: n = (1.96^2 * 2.3^2) / 0.5^2 = 120.

A Microbrewery Plans to Conduct a Study on Beer Consumption