Question A manufacturer claims the mean breaking strength of new cables is greater than 1775 lbs. Test this claim using a one-tailed test with $\alpha=0.05$. The sample mean is 1790 lbs and the population standard deviation is 55 lbs.
(a) $H_0: \mu \leq 1775$ lbs, $H_1: \mu > 1775$ lbs (b) Use a z-test (c) Test statistic $z = \frac{\bar{x} - \mu}{\sigma/\sqrt{n}} = 1.818$ (d) $p$-value $= 0.035$ (e) Yes, we can support the claim that the mean breaking strength is greater than 1775 lbs.