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.

i assume the line plot is the % difference, the original 95% vs 92% has a difference of 3%,

the 10 random values center around 3% and 3% has the most occurrences of the 10.

the average value for the 10 is 2.9%, so that is within .1 of the original 3%

so it should be significant, not sure what criteria you are supposed to use?

is there a p or z test involved?

Hope this helps!

answer is attached below

the answer is attached below

the answer is attached below

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

     

d1234  

Freq124310

d*f14121229

d^2 *f18364893

     

Mean d2.9    

Var d0.89    

Std dev d0.943398113    

Std error d0.314466038    

     

Test statistic9.221981556    

df9    

p

Since p

The line plot shows the differences

Based on the line plot, the difference between the groups' mean final project grade is never equal to zero. 

There is a significant difference between the two groups if and only if their difference is not equal to zero. 

Since the 10 rerandomizations indicate that the difference cannot be equal to zero, then there is indeed a significant difference.