The cooling system in a nuclear submarine consists of an

Chapter 9, Problem 150SE

(choose chapter or problem)

The cooling system in a nuclear submarine consists of an assembly of welded pipes through which a coolant is circulated. Specifications require that weld strength must meet or exceed 150 psi.

(a) Suppose that the design engineers decide to test the hypothesis \(H_0\ :\ \mu=150\) versus \(H_1\ :\ \mu>150\). Explain why this choice of alternative hypothesis is better than \(H_1\ :\ \mu<150\).
(b) A random sample of 20 welds results in \(\bar{x}=153.7\) psi and \(s=11.3\) psi. What conclusions can you draw about the hypothesis in part (a)? State any necessary assumptions about the underlying distribution of the data.

Equation Transcription:

Text Transcription:

H_0:mu=150

H_1:mu>150

H_1:mu<150

x bar=153.7

s=11.3

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