The Internal Revenue Service (IRS) reports that the μ mean federal income tax paid in a recent year was $8,000. Assume the population standard deviation σ is $5,000. The IRS plans to draw a sample of 500 tax returns to study the effect of a new tax law. Calculate the probability that the sample mean tax is between 7500 and 8500 P(7500
The Internal Revenue Service (IRS) reports that the μ mean federal income tax paid in a recent year was $8,000. Assume the population standard deviation σ is $5,000.
The IRS plans to draw a sample of 500 tax returns to study the effect of a new tax law. Calculate the probability that the sample mean tax is between 7500 and 8500
P(7500<x¯<8500)=
2.
A 500 page book contains 250 sheets of paper. The thickness of the paper used to manufacture the book has a mean of 0.08 mm and standard deviation of 0.01 mm.
An investigator is interested to know whether the manufacturer is following the rules. The rule is the thickness of each page should be between 0.079 and 0.082.
So the investigator takes a sample of 100 of the pages manufactured, with what probability will the sample mean thickness of these 100 pages be outside of the regulation?
P(x¯<0.079)+P(x¯>0.082)=
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