Pythagoras

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Questions and Answers

Which ancient Greek philosopher is credited with discovering the Pythagorean theorem?

  • Aristotle
  • Socrates
  • Pythagoras (correct)
  • Plato

Which of the following is NOT credited to Pythagoras?

  • Pythagorean tuning
  • The discovery of gravity (correct)
  • The Theory of Proportions
  • The five regular solids

Which ancient Greek philosopher was influenced by Pythagorean teachings?

  • Plato (correct)
  • Aristotle
  • Heraclitus
  • Socrates

According to the text, which two philosophers wrote later biographies of Pythagoras?

<p>Porphyry and Iamblichus (C)</p> Signup and view all the answers

According to the text, where was Pythagoras born?

<p>Samos (C)</p> Signup and view all the answers

According to the text, what did the Pythia prophesy to Pythagoras's mother?

<p>He would give birth to a man supremely beautiful, wise, and beneficial to humankind (D)</p> Signup and view all the answers

According to the text, where did Pythagoras study and learn to speak Egyptian?

<p>Egypt (C)</p> Signup and view all the answers

Which ancient Greek philosopher is considered the eponymous founder of Pythagoreanism?

<p>Pythagoras (A)</p> Signup and view all the answers

When did Pythagoras travel to Croton in southern Italy to found a school?

<p>Around 530 BC (D)</p> Signup and view all the answers

What teaching is most securely identified with Pythagoras?

<p>Metempsychosis (D)</p> Signup and view all the answers

Which philosopher was influenced by Pythagoras's teachings?

<p>Plato (A)</p> Signup and view all the answers

Where did Pythagoras found his school?

<p>Croton (A)</p> Signup and view all the answers

What is the teaching most securely identified with Pythagoras?

<p>Metempsychosis (D)</p> Signup and view all the answers

Which of the following is true about constructing a confidence interval for the difference between two means?

<p>The two samples must be independent of each other. (A)</p> Signup and view all the answers

What distribution is used to determine a confidence interval that uses an estimated variance in place of the unknown value?

<p>T-distribution (B)</p> Signup and view all the answers

What is an unbiased estimate of the variance for a random sample?

<p>$(xi - x̄)2 / (n - 1)$ (D)</p> Signup and view all the answers

What is the distribution used to determine a confidence interval for the ratio of two variances?

<p>F-distribution (B)</p> Signup and view all the answers

What is the condition for choosing alpha and beta to minimize the length of the confidence interval for the ratio of two variances?

<p>The sample size n must be large. (D)</p> Signup and view all the answers

Flashcards

Who was Pythagoras?

Ancient Greek philosopher credited with the Pythagorean theorem.

What is Metempsychosis?

The belief in the transmigration of the soul after death into a new body.

Where was Pythagoras born?

Samos

What did the Pythia prophesy?

He would give birth to a man supremely beautiful, wise, and beneficial to humankind.

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Where did Pythagoras study?

Egypt

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When did Pythagoras travel to Croton?

Around 530 BC

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Who was influenced by Pythagoras?

Plato

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Where did Pythagoras found his school?

Croton

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Confidence interval condition

The two samples must be independent of each other.

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Estimated variance distribution

T-distribution

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Unbiased variance estimate

$(xi - x̄)2 / (n - 1)$

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Ratio of two variances distribution

F-distribution

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Alpha/Beta minimization condition

The sample size n must be large.

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