For each of the following assertions, state whether it is a legitimate statistical hypothesis and why?a. H:\sigma>100b. H:\widetilde{x}=45c. H:s\leq0.20d. H:\sigma1/\sigma2<1e. H:\overline{X}-\overline{Y}=5f. H: \lambda\leq0.01, where l is the parameter of an exponential distribution used to model component lifetime

answer: a.

step-by-step explanation: the answer is a. because, you need to converge the fractions to find a solution.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4