Math Problem Statement
In the 2000 census, the so-called "long form' reccived by onc of every six households contained 52 questions, ranging from your ocupation and income all the way to whether you had a bathtub According to the U.S. Census Bureau, the mean completion time for the long form is 38 minutes. Assuming a standard deviation of 5 minutes and a simple random sample of 50 persons who flled out the long form, what is the probability that their average time for completion of the form was more than 45 minutes?
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Sampling Distribution
Central Limit Theorem
Z-score
Formulas
Standard Error (SE) = σ/√n
Z-score = (X - μ) / SE
Theorems
Central Limit Theorem
Suitable Grade Level
College Level Statistics
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