What is a mean useful lifetime of product


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Q: A manufacturer of athletic footwear claims that the mean useful lifetime of his product will exceed 50 hours. A random sample of 36 pairs of shoes leads to the following sample results, in terms of useful life: x(x-bar)=52.3 hours and s=9.6 hours.

Conduct a hypothesis test. What is the p-value, and how much evidence is there to conclude that the manufacturer's claim is correct, i.e., to reject the Ho:µ <(=) 50 hours and accept the Ha:µ > 50 hours.

p-value=

The weight of evidence to conclude that the manufacturer's claim is correct: __________ (some evidence, strong evidence, very strong evidence, extremely strong evidence, little evidence).

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