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Answer:
The difference in the means of the two groups is significant based on the line plot.
Step-by-step explanation:
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 average for elementary and y bar for middle school.
H0: x bar = y bar
Ha: x bar not equals y bar
(Two tailed test)
The line plot gives the differences of 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 95% level we conclude that there is a significant difference between the two means.
The line plot shows the differences
The distribution is normal value of 3 and the difference in the means of the two groups is significant based on the line plot.
What is dot plot?
The dot plot is the way of representation of the data. This data is plotted in the form of points or dots over an x-y axis. The dot plot is also known as the strip plot.
There are 25 students who started computer programming in elementary school and 25 students who started computer programming in middle school.
The first group had a mean final project grade of 95%. The mean is the ratio of percentage of all the student in 1st group to the number of student.
[tex]m=92\times25\\m=2300\%[/tex]
The second group had a mean final project grade of 92%.
[tex]m=95\times25\\m=2375\%[/tex]
Difference of the mean percentage is,
[tex]D=2375-2300\\D=75[/tex]
Mean difference is,
[tex]D=\dfrac{75}{25}\\D=3[/tex]
Thus, the distribution is normal value of 3 and the difference in the means of the two groups is significant based on the line plot.
Learn more about the dot plot here;
https://brainly.com/question/15853311
