Math Problem Statement
(b) For each of the following sampling scenarios, determine which distribution should be used to calculate the critical value for the 99% confidence interval for the population mean. (a) The sample has size 105, and it is from a non-normally distributed population. (b) The sample has size 80, and it is from a non-normally distributed population with a known standard deviation of 77. (c) The sample has size 15, and it is from a normally distributed population with an unknown standard deviation. Options are as is Z, t, could use either z or t, or unclear.
Solution
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Math Problem Analysis
Mathematical Concepts
Central Limit Theorem
Z-distribution
t-distribution
Confidence Intervals
Formulas
Confidence interval formula using Z-distribution
Confidence interval formula using t-distribution
Theorems
Central Limit Theorem
Suitable Grade Level
Advanced Undergraduate
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