Clayton works for an education consulting firm and is assigned
to compare the student-to-faculty ratio for secondary public and
private schools in a certain metropolitan area. He obtains a random
sample of 10 public secondary schools and 10 private secondary
schools and determines the student-to-faculty ratio for each
school. The results from Clayton's samples are recorded in the
following data set. A private secondary school and a public
secondary school from this area both have a student-to-faculty
ratio of 19.7.
Calculate the z-score for each type of school using a TI-83,
TI-83 Plus, or TI-84 calculator. Round your answers to two decimal
places.
Public Private
19.7 14.8
18.3 19.7
18.9 15.9
17.5 15.4
15.9 18.2
19.1 14.9
16.8 16.3
17.3 17.4
18.5 15.6
17.7 15
The z -score for the public schools is _____ and the
z -score for the private schools is _____ .