Solve the Problem $$\begin{array} { l l l l l } 518 & 548 & 561 & 523 & 536 \\499 & 538 & 557 & 528 & 563\end{array}$$

question 151

Essay

Solve the problem.
-In tests of a computer component, it is found that the mean time between failures is 520 hours. A modification is
made which is supposed to increase the time between failures. Tests on a random sample of 10 modified
components resulted in the following times (in hours) between failures. $$\begin{array} { l l l l l } 518 & 548 & 561 & 523 & 536 \\499 & 538 & 557 & 528 & 563\end{array}$$ At the 0.05 significance level, test the claim that for the modified components, the mean time between failures is
greater than 520 hours. Use the P-value method of testing hypotheses.

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Definitions:

Triangles

Triangles are three-sided polygons characterized by three edges and three vertices; they can be classified into various types based on the length of their sides and angles.

Four Angles

A geometric configuration or shape that possesses four angles, commonly referring to quadrilaterals.

Unconscious Thoughts

Mental processes that occur without an individual's conscious perception or awareness.

General Population

The overall group of individuals in a society, not segregated by any specific criteria.