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There Are 8,000 Students at the University of Tennessee at Chattanooga

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Short Answer

There are 8,000 students at the University of Tennessee at Chattanooga. The average age of all the students is 24 years with a standard deviation of 9 years. A random sample of 36 students is selected.
a.Determine the standard error of the mean.
b.What is the probability that the sample mean will be larger than 19.5?
c.What is the probability that the sample mean will be between 25.5 and 27 years?

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Definitions:

Nearly Normal Condition

A term used in statistics to describe a distribution that is close to, but not perfectly, a normal distribution.

Nearly Normal Condition

A prerequisite for certain statistical tests that the distribution of the data should be approximately normal.

Standard Deviation

A metric that calculates the degree of spread or scattering within a data set.

Nearly Normal Condition

Nearly normal condition refers to a situation where a dataset or distribution closely approximates a normal distribution, meeting certain criteria for statistical analyses.

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