A variable has a mean of 100 and a standard deviation of 15. Nine observations of...

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A variable has a mean of 100 and a standard deviation of 15. Nine observations of...

A variable has a mean of 100 and a standard deviation of 15. Nine observations of this variable have a mean of 116 and a sample standard deviation of 12. Determine the observed value of the a. standardized version of x overbar. b. studentized version of x overbar.

math Statistics-And-Probability

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Answer 1

Answer #1

a)
Standardized version
z = (116 - 100)/(15/sqrt(9))
z = 3.2

b)
Studentized version
z = (116 - 100)/(12/sqrt(9))
z = 4

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Answer 2

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