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.

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<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

answer:   segregation violated the equal protection clause of the 14th amendment, which holds that no state can “deny to any person within its jurisdiction the equal protection of the laws.”

details/explanation:

brown v. board of education of topeka, decided by the us supreme court in 1954, ruled that all americans are entitled to the same civil liberties and protections in regard to access to education. until that decision, it was legal to segregate schools according to race, so that black students could not attend the same schools as white students.   an older supreme court decision, plessy v. ferguson (1896), had said that separate, segregated public facilities were acceptable as long as the facilities offered were equal in quality.   in the case of brown v. board of education, that standard was challenged and defeated.   segregation was shown to create inequality, and the supreme court unanimously ruled segregation to be unconstitutional.

the ruling was important in advancing civil rights because it affirmed that the 14th amendment applies to all rights and privileges of citizens, including access to   education.   this was being violated by states whose laws supported the segregation of schools.   section 1 of the 14th amendment reads as follows:

10.416 m/s

step-by-step explantion:

distance=100m

time= 9.6s

average speed=100/9.6

=10.416 m/s