The cooling system in a nuclear submarine consists of an assembly of welded pipe

Question

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 15o psi. Ca Suppose that the design engineers decide to test the hypothesis Ho: u 150 versus H1: u 150. Explain why this choice of alternative hypothesis is better than H1: u 150. (b)A random sample of 20 welds results in X 157.65 psi and s 12.39 psi. What conclusions can you draw about the hypothesis in part (a)? State any necessary assumptions about the underlying distribution of the data. Use the p-value approach

Explanation / Answer

Because our claim is to check whether average >150 alternate hypothesis should be

mu>150

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b) n = Sample size = 20

The assumptions underlying are

i. Sample is random

ii. Sample represents the population

As p value <0.01, reject null hypothesis at 1% sign. level.

n 20 x bar 157.65 sigma 12.39 std error 2.770488 As n<30, t test is used. t diff/std error t 2.761246 df 26-1 25 p 0.005316

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