A sociologist chose 300 students at random from each of two schools and asked each student how many siblings he or she has. The results are shown in the table below. There are a total of 2,400 students at Lincoln School and 3,300 students at Washington School. Based on the survey data, which of the following most accurately compares the expected total number of students with 4 siblings at the two schools?

A sociologist chose 300 students at random from each of two schools an

1.	A sociologist chose 300 students at random from each of two schools and asked each student how many siblings he or she has. The results are shown in the table below. There are a total of 2,400 students at Lincoln School and 3,300 students at Washington School. Based on the survey data, which of the following most accurately compares the expected total number of students with 4 siblings at the two schools?
Answer» The total number of STUDENTS with 4 siblings is expected to be equal at the two schools. The total number of students with 4 siblings at Lincoln School is expected to be 30 more than at Washington School. The total number of students with 4 siblings at Washington School is expected to be 30 more than at Lincoln School. The total number of students with 4 siblings at Washington School is expected to be 900 more than at Lincoln School. Solution :Choice C is correct. When survey participants are selected at RANDOM from a larger POPULATION, the sample statistics calculated from the survey can be generalized to the larger population. Since 10 of 300 students surveyed at Lincoln School have 4 siblings, one can estimate that this same ratio holds for all 2,400 students at Lincoln School. Also, since 10 of 300 students surveyed at Washington School have 4 siblings, one can estimate that this same ratio holds for all 3,300 students at Washington School. Therefore, APPROXIMATELY`(10)/(30)xx 2,400 = 80` students at Lincoln School and `(10)/(30)xx 3,300 = 110` students at Washington School are expected to have 4 siblings. Thus, the total number of students with 4 siblings at Washington School is expected to be 110 − 80 = 30 more than the total number of students with 4 siblings at Lincoln School. Choices A, B, and D are incorrect and may result from either conceptual or calculation errors. For example, choice A is incorrect, EVEN though there is the same ratio of survey participants from Lincoln School and Washington School with 4 siblings, the two schools have a different total number of students, and thus, a different expected total number of students with 4 siblings.

Discussion

No Comment Found

Related InterviewSolutions

P (-2,-1) and (0,-3) are the limiting points of a coaxial system of whichC -= x^(2) + y^(2)+ 5x + y + 4 = 0is a member. The circleS -= x^(2) + y^(2) - 4x - 2y - 15 = 0is orthogonal to the circle C . The point where the polar of P cuts the circle S is
Which of the following is/are discontinous at x = 1 ?
Write Minors and Cofactors of the elments of following determinants : |{:(1,0,4),(3,5,-1),(0,1,2):}|
The vertex of the parabola (y-1)^2 =8 (x-1) is at the centre of a circle and the parabola cuts that circle atthe ends of its latusrectum. Then the equation of that circle is
{{:(5x-3y=10),(6y=kx-42):} In the system of linear equations above, k represents a constant. If the system of equations has no solution, what is the value of 2k?
f(x) ={{:(1-sqrt(1-x^(2)),if -1lexle1),(1+ log ""(1)/(x), if xgt1):}
Given that alpha, beta, gamma, delta are in a geometric progression. If alpha, beta are the roots of x^(2)-x+p=0 " and "gamma, delta are the roots of x^(2)-4x+q=0, where p and q are integers, then the ordered pair (p, q) =
A poor , frustrated artist named Fresco created a plan to make money. He collected trash, repurposed it into sculptures, then asked various celebrities to write and paint on these trash objects, which he then sold on his own as modern high art. The chart below separately showsthe cost and revenue of his plan. The linear cost function, C(x) , represents the total money spent to make and market the art , while the linear revenue function, R(x) , shows the amount of money he has made in sculpture sales. Fresco initially spent money promoting the project in the media . He also had to pay the celebrities to participate . After 6 months , Fresco had created and sold x number of trash sculptures and finally broke even : he hadn't made or lost any money . How many sculptures did Fresco sell in his first 6 months of the project ?
A poor , frustrated artist named Fresco created a plan to make money. He collected trash, repurposed it into sculptures, then asked various celebrities to write and paint on these trash objects, which he then sold on his own as modern high art. The chart below separately showsthe cost and revenue of his plan. The linear cost function, C(x) , represents the total money spent to make and market the art , while the linear revenue function, R(x) , shows the amount of money he has made in sculpture sales. The cost function in the chart is determined by a constant production cost per sculpture - in this case, the amount Fresco pays each celebrity to participate - as well as a fixed cost , or the initial cost of promoting the project . What is the fixed cost of Fresco's trash sculpture project ?
An ellipse is incribed in a rectangle and if the angle between the diagonals is tan ^(-1)2sqrt2then e=

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment