4. 1 points My Notes The Bureau of Alcohol, Tobacco, and Firearms (BATF) has bee

Question

4. 1 points My Notes The Bureau of Alcohol, Tobacco, and Firearms (BATF) has been concerned about lead levels in California wines. Table 1 reports the results from a pilot test that measured lead levels in a random sampling of wines. Table 1: Descriptive statistics for the lead in wine study Variable in mean Std.Dev SEmean lead 5 90 150 67.08 The BATF wishes to estimate the true average lead level for California wines to within 18 parts per billion at a 98% level of confidence? Based on the BATF's criteria, the number of wine specimens that should be tested is: Note: you should carry at least 5 decimal precision for any intermediate calculations then round your answer as indicated in the problem

Explanation / Answer

For df = 5-1 = 4, and 98% CI we have a t value of 3.747

MOE = 18 = t*Stdev/sqrt(n)

18 = 3.747*150/sqrt(n)

n = (3.747*150/18)^2 = 975.00063

So, sample size ( to the 5th decimal digi) is 975.00063

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