0.1878+-1.66*0.05811 = (0.0913, 0.284) We are 90% confident the heat transfer rate will increase by 0.181 to 0.195 for every 1cm increase in coil length. B) The true average battery power is between 92 and 114 mAh with 80% confidence H0: mu >= 80 Ha: mu < 80 -2.33=(xbar – 80)/(2/sqrt(36)) Xbar = 79.22 Z= 0.66 Power = 0.7454 10=+-1.81*35/sqrt(n) N=(1.81*35/10)^2 = 40.13 Need 41 moves Ho: not stealing (equals) Ha: stealing Type 1 error: He is not a thief and you accuse him Type 2 error: He is a thief and you let him go If you answer small alpha it needs to be to avoid accusing your supervisor if he’s innocent If you answer large alpha it needs to be because you want to avoid letting a thief get away. Cannot do H0: p >= .1 Ha: p<.1 Alpha=0.05 Z=(13/85-.1)/sqrt(.1*(1-.1)/85) = 3.07 Pvalue = 0.9989 Fail to Reject (Like WAY FTR) He is not being too lenient Xbar = (61.5+73.5+51.5+49.5)/5 = 59 S = sqrt([(61.5-59)^2+(73.5-59)^2+(51.5-59)^2+(49.5-59)^2]/(4-1)) = 11 H0: mu = 50 Ha: mu ne 50 Alpha=0.05 T=(59-50)/(11/sqrt(4)) = 1.636 .2 < p-value < .3 Fail to Reject We cannot show the exam is too long If it’s a verbal fight, the statistician will win by throwing down confusing, obfuscating info. Statistician will win because the statistician will sing “Show me the meaning of being an engineer” Truly engineers have no life. Instead of a fight let’s celebrate what you have got now. I think that the statistician would win because they have a lot of tricky ways. Playing with numbers that will make them be able to draw conclusions to convince them. But it won’t be an easy job because it’s also hard to convince engineers. Engineer would win the battle of wits The engineer… they build better weapons The engineer of course! We can be silent but deadly! The engineer would rig the bridge that the statistician drives over to get to work Pig Engineer, cuz… robots Both would spend too much time to calculate the other’s weak spot and would forget why they were fighting in the first place. Then they’d call it even. The spectators would win. Watching two nerds fight is always comical no matter the outcome Engineer. Knows how to use fulcrum points to snap your limbs Trick Question: They would get their friends to fight and pretend they’re watching the mech’s from Pacific Rim