The average weight of a male labrador retriever is believed to be well-approximated by a normal distribution with mean 71.5 lbs and standard deviation 7.5 lbs. a veterinarian is skeptical of this claim and takes a random sample of 15 labs that come into her clinic. the 15 labs have an average weight of 80 lbs. use the test statistic approach at the 5% level to test if the vet’s data suggests that our original belief is incorrect.

We will reject the null hypothesis.

Step-by-step explanation:

Since we have given that

Mean μ = 71.5 lbs

Standard deviation σ = 7.5 lbs

So, the hypothesis are given below:

Since α = 5% level of significance = 0.05

So, there is two tail test.

Critical values of z are 1.96 and -1.96.

So, we will reject H₀ if z<-1.96 or z>1.96

So, first we will find the value of z.

According to test statistic approach:

Since z >1.96

as 4.39>1.96

So, we will reject the null hypothesis.

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:

step-by-step explanation:

circumference divided by 3.141592654 then timesthe radius twice