A Sports Commentator Believes That a Particular Basketball Player Is

question 103

Essay

A sports commentator believes that a particular basketball player is just awful in road games but relatively effective at home. To test this claim, the commentator takes a random sample of 36 road games and 49 home games and collects the player's scoring output in each game. He finds that in the 49 home games, the player averaged 12.3 points and his scoring output had a standard deviation of 2.6 points. Alternatively, in the 36 road games, the player averaged 8.9 points with a standard deviation of 5.6 points.
A) Specify the competing hypotheses to determine if the player has a higher scoring average in home games.
B) Calculate the value of the test statistic and the critical value at a 1% significance level. There is no reason to assume that the population variance of scoring output is equal for home and road games.
C) Does the evidence support the commentator's claim at the 1% significance level?

• A) Specify the competing hypotheses to determine if the player has a higher scoring average in home games.
• B) Calculate the value of the test statistic and the critical value at a 1% significance level. There is no reason to assume that the population variance of scoring output is equal for home and road games.
• C) Does the evidence support the commentator's claim at the 1% significance level?

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Definitions:

Adult Cell Types

Categories of cells that have differentiated to perform specific functions in the body of an adult organism.

Hemopoietic Tissue

Blood-forming tissue.

Red Bone Marrow

A tissue found in the interior of bones, rich in blood vessels and stem cells, responsible for the production of blood cells.

Elastic Cartilage

A type of flexible cartilage found in areas like the ears and epiglottis, providing strength and elasticity.