A simple random sample of n = 25 college students was selected to participate in an intensive Spanish language program. At the beginning of the program, the students were given a foreign language comprehension test. After 15 weeks of
immersion in Spanish, the students took the test again. The results are summarized in the table.
Group
Sample standard
Description
Sample
deviation
1
Initial test
xi = 75.16
$i = 14.966
2
Re-test
X2 = 88.04
$2 = 8.556
Difference
Re-test - initial
x = 12.88
S = 19.223
Compute the standard error estimate, SE, of the mean difference in test scores. Give your answer to two decimal places.
mean
SE =
points