Bottles of a popular cola are supposed to contain 300ml of cola. there is some variation from to bottle to bottle because the filling machinery is not perfectly precise. the distribution of the contents is normal with standard deviation of q=3 ml. an inspector who suspects that the bottler is underfilling measures the contents of six bottles. the results are
299.4 297.7 301.0
298.9 300.2 297.0
is this convincing evidence that the mean contents of cola bottles is less than the advertised 300 ml? perform a significance test at the q= .05level.
z=(300-299.03)/3/6= .79

We accept H₀

There is not convincing evidence that the mean contents of cola is less thanthe advertised

Step-by-step explanation:

Our case normal distribution, with  σ = 3

The sample is of 6 then   n = 6

The calculated mean from given data is :  299.03

sgnificanc level:    α  = 0.05  

Then     H₀     null hypothesis   μ₀  =  300

the alternative hypothesis       μₐ  <  300

As n < 30 we have to go to t table we look fr α = 0.05  and gl  = 5

we find  t(c) = 2.015

Now we calculate   t (s) =  ( x - μ₀ )/( σ/√n )     t(e) = -0.97/1.224

t(s) =  - 0.79

The test is one tail test ( to the left) and t(s) = -0,79 is bigger than  

t (c) = -1.64

So we are in the acceptance zone. We accept H₀

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:

6.5

step-by-step explanation:

you said it was in the question

~courtney