You must estimate the mean temperature (in degrees Fahrenheit) with the following sample temperatures: 75 43.1 66.8 54.8 49.2 69.8 38.8 Find the 98% confidence interval. Enter your answer as an open-interval (i. e., parentheses) accurate to two decimal places (because the sample data are reported accurate to one decimal place). 98% C. I.

c

c

c

c

c

c

c

cc

c

step-by-step explanation:

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