Asample of 14 joint specimens of a particular type gave a sample mean proportional limit stress of 8.48 mpa and a sample standard deviation of 0.79 mpa ("characterization of bearing strength factors in pegged timber connections," j. of structural engr., 1997: 326332).
a. calculate and interpret a 9596 lower confidence bound for the true average proportional limit stress of all such joints.
what, if any, assumptions did you make about the distribution of proportional limit stress?
b. calculate and interpret a 95% lower prediction bound for the proportional limit stress of a single joint of this type .

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

if the probability is 1/12, 75 people will receive a $25 gift card

step-by-step explanation: