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All 1,035 Members at a Country Club Take Part in a Contest

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All 1,035 members at a country club take part in a contest to see who can drive a golf ball the farthest.Each member takes three swings,and his/her best drive is entered into the contest.The distances of the drives entered into the contest have a mean of 188.3 yards and a standard deviation of 16.2 yards.You select a sample of 43 drives,what is the probability,rounded to four decimal places,that the mean of the sample exceeds 192 yards?


Definitions:

Internal

Pertaining to or situated within something; often refers to phenomena or processes occurring within an organism or object.

External

Originating from outside, not confined within an entity or individual.

Achievement Motivation

The drive to excel, achieve in relation to a set of standards, or strive to succeed.

TAT

Thematic Apperception Test, a projective psychological test used to reveal a person's social drives or needs by their interpretation of ambiguous images.

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