Question

A public school system wanted to know whether the reading levels of the students at two of its schools were different. The study that was conducted tested an enormous number of students, and concluded that students attending School A scored significantly higher than those attending School B. However, the difference between the means of the two schools was very small. What should you conclude regarding the difference in reading levels between the two schools? Explain your conclusion. Write your answer to a person who is familiar with the basic logic of hypothesis testing, but knows nothing about power. Keep your answer to one paragraph.

Answer 1

let meen of school A students reading levels a lla meen of school of . Is alle Ho: M = UB i Hoi HAMB=0 or Hoi Alda Mr: llA TUR e Mi: MAMBO or 1,: ld > finally our Hypothesis is; Id=0 ie There is no significant differene ld to le school A level is greather than school B level, This is Right-tailed test, ret of students selected from school A is ni and Samplement y #students selected from school B M and sample mean is a as it is given a enormous #students selected nie mlima 230, so, @mãe) -IMA-lla) degre nal, no-1 mo sample standard So, so is to distribution deviation of school A &B This is the example of sight - tailed test t-distributo Coitical a Regionon a Region on

let the level of significance is do Calculate (A-50) - CHAMB) Under to nie MA- lie a to, (0-1), (B-1). to Calculated from to distrit ief to >ta, (MA-1, OB-1) adecison - Regent Ho. lie our Nell Hypothesis which is llA = log is being rejected and conclude that alter Hypo- nie MA alle is valid or, we can say that student of school A reading level is significanthang greater than school B.