The cooling system in a nuclear submarine

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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 H0: μ = 150 versus H1: μ  > 150. Explain

why this choice of alternative hypothesis is better than

H1: μ < 150.

(b) A random sample of 20 welds results in width= = 153.7psi 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.

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