CAIE S2 2020 Specimen — Question 1

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2020
SessionSpecimen
TopicNormal Distribution
TypeValidity of normal model

1 Leat s frm a certain tro tree \(\mathbf { h }\) leg \(\mathbf { b }\) th t are \(\dot { \mathbf { d } }\) strib ed with stad \(\operatorname { rd } \mathbf { d } \dot { \mathbf { v } }\) atio \(\mathbf { Z }\) cm. A rach sample 6 6 th se lead s is tak n ad the mean leg \(\mathrm { h } \mathbf { 6 }\) th s samp e is fo d to b © cm .
  1. Calch ate a 90 cf id \(n\) e in erd \(l\) fo th \(p p\) atim earl eg \(h\)
  2. Write d n th p b b lity th t th wh e 6 a \(9 \%\) co id n e in ery l will lie b low th p atim ean