SIS 1st Semester Exam Review: Green

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What is the formula to calculate combinations when selecting a group from a larger set?

Back

The formula for combinations is given by: C(n, r) = \frac{n!}{r!(n-r)!}, where n is the total number of items, r is the number of items to choose, and ! denotes factorial.

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How do you convert a fraction to a decimal?

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To convert a fraction to a decimal, divide the numerator by the denominator. For example, to convert \frac{5}{16}, perform the division 5 ÷ 16 = 0.3125.

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What is the definition of 'ability' in the context of performance?

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Ability refers to what an athlete or team would do if given an infinite number of opportunities in the same context.

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How do you calculate the winning percentage of a sports team?

Back

Winning percentage is calculated using the formula: Winning Percentage = \frac{Wins}{Wins + Losses}. For example, for a record of 18-24, the winning percentage is \frac{18}{18+24} = 0.429.

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What is an alternative hypothesis in statistical testing?

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An alternative hypothesis is a statement that indicates the presence of an effect or a difference. It is what the researcher aims to support, such as 'The softball team has a greater ability to hit with aluminum bats than wooden bats.'

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What does the term 'simulation' mean in sports performance?

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Simulation refers to the practice of recreating a scenario to analyze performance, often used to predict outcomes based on various strategies.

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What is the significance of rounding in decimal conversion?

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Rounding is important in decimal conversion to simplify numbers for easier interpretation and communication, especially in statistics and reporting.

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What is the difference between a population and a sample in statistics?

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A population includes all members of a defined group, while a sample is a subset of the population used to make inferences about the whole.

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What is the role of hypothesis testing in research?

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Hypothesis testing is a statistical method used to determine if there is enough evidence to reject a null hypothesis in favor of an alternative hypothesis.

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How do you interpret a winning percentage of 0.429?

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A winning percentage of 0.429 means that the team won approximately 42.9% of their games.