-8 points My The Bureau of Alcohol, Tobacco, and Firearms (BATF) has been concer

Question

-8 points My 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 240 60 The BATF wishes to estimate the true average lead level for California wines to within 21 parts per billion at a 95% level of confidence i e desired margin of error should be less than 21). Based on the BATF's criteria, the number of wine specimens that should be tested is Note: you should carry at least 3 decimal precision for any intermediate calculations then round your answer as indicated in the problem 6 points Baldistat3 15 E 050 You read that a statistical test at significance level a-0.10 has power 0.87, what are the probabilities of Type decimal places.) P(Type I error) P(Type II error)- My N and Type erers for this test? (Enter your answers be

Explanation / Answer

z *s/sqrt(n) = 21

1.96* 80/sqrt(n) = 21

n = (1.96 * 80 /21)^2

= 55.76

=56

type i error = 0.10

type ii error = 1 - 0.87 = 0.13

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