(b) A manufacturer of sports equipment has developed a new synthetic fishing line that is claimed to have a mean breakin

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(b) A manufacturer of sports equipment has developed a new
synthetic fishing line that is claimed to have a mean breaking
strenght of 8 kg. To test the manufacturer’s claim, that is,
whether the mean breaking strenght is actually 8 kg or not, a
sample of 12 lines is tested. The sample had a mean breaking
strength of 7.8 kg and a standard deviation of 0.5 kg. Write down
your null hypothesis and alternative hypothesis and then, using an
appropriate distribution, test your null hypothesis against your
alternative hypothesis at the 5% significance level.