Mathematics, 16.03.2020 18:05 walkereddie580

An article presents a new method for timing traffic signals in heavily traveled intersections. The effectiveness of the new method was evaluated in a simulation study. In 50 simulations, the mean improvement in traffic flow in a particular intersection was 652.6 vehicles per hour, with a standard deviation of 311.7 vehicles per hour. Find a 98% confidence interval for the improvement in traffic flow due to the new system. Round the answers to three decimal places. The 98% confidence interval is

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Answer from: kingjustin0825

The 98% confidence interval is (546.586 ,758.614).

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 50

Sample mean = 652.6 vehicles per hour

Sample standard deviation = 311.7 vehicles per hour

98% confidence interval:

$\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}$

Putting the values, we get,

$t_{critical}\text{ at degree of freedom 49 and}~\alpha_{0.02} = \pm 2.405$

$652.6 \pm 2.405(\dfrac{311.7}{\sqrt{50}} ) =652.6 \pm 106.014 = (546.586 ,758.614)$

The 98% confidence interval is (546.586 ,758.614).

Answer from: Quest

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:

all persons born or naturalized in the united states and subject to the jurisdiction thereof, are citizens of the united states and of the state wherein they reside. no state shall make or enforce any law which shall abridge the privileges or immunities of citizens of the united states; nor shall any state deprive any person of life, liberty, or property, without due process of law; nor deny to any person within its jurisdiction the equal protection of the laws.

Answer from: Quest

the answer is a i belaeve atleast thats what my calculator just gfave me

step-by-step explanation:

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An article presents a new method for timing traffic signals in heavily traveled intersections. The e...

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