6.5.67 Question Help A gigantic warehouse stores approximately 40 million empty
ID: 3361204 • Letter: 6
Question
6.5.67 Question Help A gigantic warehouse stores approximately 40 million empty aluminum beer and soda cans. Recently, a fire occurred at the warehouse. The smoke from the fire contaminated many of the cans with blackspot, rendering them unusable. A statistician was hired by the insurance company to estimate p, the true proportion of cans in the warehouse that were contaminated by the fire. How many aluminum cans should be randomly sampled to estimate p to within 0.09 with 95% confidence? cans to estimate the proportion that were contaminated by the fire to within 0.09 with 95% confidence The statistician should sample (Round up to the nearest can.)Explanation / Answer
CI = 95%
z-value = 1.96
ME = 0.09
p = 0.5 (assuption as initial value is not given)
n = (z/ME)^2*(p*(1-p)
n = (1.96/0.09)^2 * (0.5*0.5)
n = 118.57
Hence 119 cans to be sampled.
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