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In: Statistics and Probability

A manufacturer of sports equipment has developed a new synthetic fishing line that the company claims...

A manufacturer of sports equipment has developed a new synthetic fishing line that the company claims has a mean breaking strength of 7.5 kilograms with a standard deviation of 0.7 kilogram. Test the hypothesis that µ = 7.5 kilograms, against the alternatives: (a) µ 6= 7.5; (b) µ > 7.5; (b) µ < 7.5. Given that a random sample of 50 lines is tested and found to have a mean breaking strength of 7.8 kilograms. Use a 0.01 level of significance α, compute the corresponding P–values.

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