answer: The difference in the means of the two groups is significantly based on the line plot.
Explain:
Given that n1 = 25 and n2 =25 which are the students who started computer programming in elementary and middle school respectively.
Let x bar represent an average for elementary and y bar for middle school.
H0: x bar = y bar
Ha: x bar does not equal y bar
(Two-tailed test)
The line plot gives the differences in sample size 10
Let d = difference = |x bar-y bar|
Then
Total
d 1 2 3 4
Freq 1 2 4 3 10
d*f 1 4 12 12 29
d^2 *f 1 8 36 48 93
Mean d 2.9
Var d 0.89
Std dev d 0.943398113
Std error d 0.314466038
Test statistic 9.221981556
df 9
p <0.0001
Since p < 0.05, at the 95% level, we conclude that there is a significant difference between the two means.
