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For Questions Below, Use the Following: a Researcher Wonders If

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For questions below, use the following: A researcher wonders if students will spend more time studying for a quiz if they are told that a high mark on that quiz will excuse them from writing a term paper. Two groups of college students were randomly selected from a large lecture course in art history. The students in Group 1 were simply told that they would have their first art-history quiz two days later. In Group 2, they were told the same thing, except that the promise of "no term paper" for high quiz performance was added. Just before taking the quiz, all students in both groups reported (in hours) the time they had spent preparing. In Group 1, the times were 6, 4, 9, 3, 2, 5, 7, 4, 7, 6. In Group 2 the times were 12, 5, 13, 5, 5, 7, 9, 6, 9, 6.
-Calculate the means for each group


Definitions:

Irrational

A type of number that cannot be expressed as a simple fraction, including numbers like \(\pi\) and \(\sqrt{2}\).

Rational

Pertaining to a number or expression that can be expressed as the quotient or ratio of two integers.

Square Root

The number that produces a specified quantity when multiplied by itself (e.g., the square root of 9 is 3).

Exponents

A mathematical notation indicating the number of times a quantity is multiplied by itself.

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