Prob. for Difference of mean, single finite pop.

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SUMMARY

The discussion focuses on calculating the probability of the difference of means from a single finite population. The participants calculated variances of 78.125 and 50, leading to probabilities of 0.0119 and 0.0024 for exceeding a threshold of 20. They applied the Central Limit Theorem to derive probabilities of 0.1892 and 0.1591 for two different samples. The confusion arises from the interpretation of the population data, emphasizing the need for clarity in statistical concepts.

PREREQUISITES
  • Understanding of Central Limit Theorem
  • Knowledge of variance calculation
  • Familiarity with probability distributions
  • Basic statistics concepts related to finite populations
NEXT STEPS
  • Study the application of Central Limit Theorem in finite populations
  • Learn about variance and its significance in probability calculations
  • Explore advanced probability concepts in single population scenarios
  • Review statistical software tools for calculating probabilities, such as R or Python's SciPy library
USEFUL FOR

Students in statistics courses, educators teaching probability theory, and anyone involved in statistical analysis of finite populations.

rogo0034
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Homework Statement



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Homework Equations



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The Attempt at a Solution

 
Last edited:
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not entirely sure what to do here, i mean I've gotten the Variance for each, 78.125 & 50, and then... I'm confused because it's coming from one population, not two. hmmf.
 
A: .0119 and .0024 respectively, for the prob of being over 20, is this at all right?

B:So I put them each into the central limit theorem and got: .1892 for the first and .1591 for the second
 

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