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A Random Sample of 100 European Professional Soccer Players Has

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Essay

A random sample of 100 European professional soccer players has an average age of 27 years. The population standard deviation is 4 years. We would like to decide if there is enough evidence to establish that average age of European soccer players is more than 26 years.
-Write the null hypothesis.


Definitions:

Average Ages

The mean value of the ages within a specific group or dataset, calculated by adding all the ages together and dividing by the total number of ages included.

Pooled Variance

An estimate of variance across different samples or groups that assumes the underlying population variances are equal.

T-Statistic

A type of test statistic calculated to determine if a hypothesis should be accepted or rejected, commonly used in a t-test to compare means.

Degrees of Freedom

The number of independent values or quantities that can vary in the analysis without breaking any constraints, relevant in statistical tests to assess the validity of the test.

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