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1.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% and the second group had a mean final project grade of 92%.

 

The line plot shows the differences after 10 rerandomizations. Determine whether the difference in the means of the two groups is significant based on the line plot. Explain your answer.

 

 

https://web2.0calc.com/api/ssl-img-proxy?src=%2Fimg%2Fupload%2F1ec49e9adce8e3cfa6042c67%2Fd.png 

 

this is the image of the line graph

 Feb 19, 2019
 #1
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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.

 Feb 20, 2019

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