In Testing the Hypotheses $H _ { 0 } : \mu = 25$

question 124

Essay

In testing the hypotheses: $H _ { 0 } : \mu = 25$ $H _ { 1 } : \mu \neq 25$ ,
a random sample of 36 observations drawn from a normal population whose standard deviation is 10 produced a mean of 22.8.
Compute the p-value.

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Definitions:

Interval Measures

A scale of measurement where the difference between any two consecutive measures is the same, but it does not have a true zero point, e.g., temperature scales.

Equal Intervals

A measurement scale where the difference between values is the same across the scale.

True Zero

A point on a scale which represents a complete absence of the measured entity, not merely an arbitrary point.

Powerful

Having great control, influence, or effect on others or outcomes.