Question

A. A gigantic Water Co. warehouse stores approximately 50 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 0.077 with 95% confidence?

The statistician should sample ___ cans to estimate the proportion that were contaminated by the fire to within 0.07 with 95% confidence.

B. According to an article, the bottled water you are drinking from Water Co. may contain more bacteria and other potentially carcinogenic chemicals than are allowed by state and federal regulations. Of the more than 1000 bottles studied, nearly one-third exceeded government levels. Suppose that a department wants an updated estimate of the population proportion of bottled water that violates at least one government standard. Determine the sample size (number of bottles) needed to estimate this proportion to within plus or minus ± 0.02 with 99% confidence.

The sample size needed to estimate this proportion to within ± 0.02 with 99% confidence is ___

Answer #1

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
0.08 with 90% confidence?

A gigantic warehouse stores approximately
80 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 0.04 with 90% confidence?

According to an article the bottled water you are drinking may
contain more bacteria and other potentially carcinogenic chemicals
than are allowed by state and federal regulations. Of the more than
1100 bottles studied, nearly one-third exceeded government
levels. Suppose that a department wants an updated estimate of the
population proportion of bottled water that violates at least one
government standard. Determine the sample size (number of
bottles) needed to estimate this proportion to within plus or
minus0.03 with 99%...

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