Administrators at The University of Arizona were interested in estimating the percentage of students who are the first in their family to go to college. For each scenario below, identify the type of sample used by the university administrators. (7 points) Possible answers include Simple Random Sample, Systematic Sample, Stratified Sample, Cluster Sample, Census, Voluntary Response Sample, and Convenience Sample.
a) Using a computer-based list of registered students, select one of the first 25 on the list by random and then contact the student whose name is 50 names later, and then every 50 names beyond that.
b) Using a computer-based list of registered students, contact 1000 students at random.
c) Set up a table in the cafeteria every day for a week around breakfast time and ask students to fill out a survey (Two possible answers. List them BOTH for extra points).
d) Send every registered student a text containing the survey question and ask them ALL to reply.
e) Select several dormitories at random and contact everyone living in the selected dorms.
f) Post the survey on the university website inviting students to participate in the survey. g) Using a computer-based list of registered students, contact 200 freshman, 200 sophomores, 200 juniors, and 200 seniors selected at random from each class.
Answers
(a) is a systematic sample. (b) is a simple random sample. (c) is a convenience sample and a voluntary response sample. (d) is a census. (e) is a cluster sample. (f) is a voluntary response sample. (g) is a stratified sample.
a) The type of sample used by the university administrators in scenario (a) is a systematic sample.
In a systematic sample, the researchers select every kth element from a population. In this case, the administrators selected the first student on the list randomly, and then contacted every 50th student beyond that. This systematic selection process follows a predetermined pattern, making it a systematic sample.
b) The type of sample used by the university administrators in scenario (b) is a simple random sample.
A simple random sample involves randomly selecting individuals from a population. In this case, the administrators used a computer-based list of registered students and randomly contacted 1000 students. This method ensures that each student has an equal chance of being selected, making it a simple random sample.
c) The type of sample used by the university administrators in scenario (c) is a convenience sample and a voluntary response sample.
A convenience sample is when the researchers select individuals based on their availability and convenience. In this case, the administrators set up a table in the cafeteria during breakfast time and asked students to fill out a survey. Students who were available during that time and willing to participate were included in the sample.
A voluntary response sample is a type of convenience sample where individuals choose to participate on their own accord. In this scenario, students have the option to fill out the survey at the table in the cafeteria, indicating a voluntary response.
d) The type of sample used by the university administrators in scenario (d) is a census.
A census involves collecting data from every individual in the population. In this case, the administrators sent the survey question to every registered student and asked them all to reply. By including every registered student in the survey, they conducted a census.
e) The type of sample used by the university administrators in scenario (e) is a cluster sample.
In a cluster sample, the population is divided into clusters, and a random selection of clusters is made. In this case, the administrators randomly selected several dormitories and contacted everyone living in the selected dorms. The dormitories act as clusters, and all individuals within the selected clusters are included in the sample.
f) The type of sample used by the university administrators in scenario (f) is a voluntary response sample.
In this scenario, the administrators posted the survey on the university website and invited students to participate. Students have the choice to participate or not, indicating a voluntary response sample.
g) The type of sample used by the university administrators in scenario (g) is a stratified sample.
In a stratified sample, the population is divided into homogeneous groups called strata, and individuals are randomly selected from each stratum. In this case, the administrators selected 200 students at random from each class (freshman, sophomore, junior, and senior). Each class acts as a separate stratum, and random selection is made within each stratum, resulting in a stratified sample.
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Related Questions
How do you find the equation of a line with a slope passing through a point?
Answers
The equation of a straight line passing through the given point and slope is y - y1 = m(x - x1).
What is the simple definition of slope?
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
Let the given point be (x1,y1).
slope be m.
we know that,
Line equation passing through point is:
y - y1 = m(x - x1)
where m = slope and (x1,y1) = given point.
Therefore The equation of a straight line passing through the given point and slope is y - y1 = m(x - x1).
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Determine whether y varies directly with x . If so, find the constant of variation.
x y=1
Answers
The given information does not provide enough data to determine whether y varies directly with x or to find the constant of variation.
In order to determine if y varies directly with x, we need more data points that demonstrate the relationship between the two variables. The concept of direct variation states that when two variables vary directly, their ratio remains constant. Mathematically, this can be expressed as y = kx, where k represents the constant of variation.
However, with only one data point (x, y = 1), we cannot ascertain if y varies directly with x. This single data point does not provide enough information to establish a consistent ratio between x and y. Additional data points are needed to observe any patterns or trends in the relationship between the variables.
To determine the constant of variation, we need at least two data points that show the values of both x and y. By calculating the ratio of y to x for different data points, we can determine if there is a constant value that relates the two variables.
Therefore, without more information or additional data points, we cannot conclude whether y varies directly with x or find the constant of variation.
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Circles with centers (2, 4) and (14, 9) have radii 4 and 9, respectively. The equation of a common external tangent to the circles can be written in the form y
Answers
The equation of the circles having a common external tangent is
y = \(\frac{-12x}{5}\) + \(\frac{96}{5}\).
Circles:Circles are geometric figures that round and their boundary is equidistant from a given point.
The equation of a circle with center (a, b) having radius r is given by:
(x-a)² + (y-b)² = r².
Tangent of a circle:A line that touches the circle externally at one point is termed the tangent.This point is called the point of tangency.External tangents of circles:The tangents that touch the circles externally at two points are termed as external tangents.Here the tangents are completely out of the circles and the circles are also completely outside each other.Let us assume that the first circle is C.
It is given that the center of C = (2, 4), and its radius r = 4cm.
Hence, the equation of the circle C is:
(x-2)²+(y-4)² = 4²
⇒ (x-2)²+(y-4)²-4² = 0 ......................(I)
Let us assume that the second circle is C'.
The center of C = (14, 9), and its radius r = 9 cm.
Hence, the equation of the circle C is:
(x-14)²+(y-9)² = 9²
(x-14)²+(y-9)² - 9² = 0 ......................(II)
Step 1: To find the line joining the external tangent, we need to find equation of a common external tangent to the given circles having the form y = mx+b where m < 0.
Step 2: To do this, we will equate (I) and (II).
Equating (I) and (II) we have:
(x-2)²+(y-4)²-4² = (x-14)²+(y-9)² - 9²
⇒ x² - 4x + 4 + y² - 8y + 16 - 16 = x² -28x + 196 + y² - 18y + 81 - 81
⇒ -4x + 4 - 8y = -28x + 196 - 18y
⇒ 24x + 10y = 192
⇒ 10y = - 24x+192
⇒ y = -\(\frac{24}{10}\)x + \(\frac{192}{10}\)
⇒ y = \(\frac{-12x}{5}\) + \(\frac{96}{5}\).
Hence, the equation of the circles having the common external tangent is y = \(\frac{-12x}{5}\) + \(\frac{96}{5}\).
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Is the quadrilateral shown a parallelogram? Justify
Answers
Show that the equation x ^ 3 + 6x - 10 = 0 has a solution between x = 1 and x = 2
Answers
So all we have to do is plug in 1 and 2 for x and prove one is negative and the other is positive.
If we plug in 1, we get -3. If we plug in 2, we get positive 10. This means there is a solution!
Using the regression formula with a slope = .704 and an intercept = .719, what would the predicted college gpa be for a student whose current high school gpa = 3.2?
Answers
The predicted college gpa be for a student whose current high school
gpa = 3.2 is 2.9718.
What is linear regression?
In statistics, a scalar response and one or more explanatory factors are modeled using a linear approach called linear regression. Simple linear regression is the scenario in which there is only one explanatory variable; multiple linear regression is the scenario in which there are numerous explanatory variables.
When predicting a variable's value based on the value of another variable, linear regression analysis is utilized. The dependent variable is the one you're trying to forecast. The independent variable is the one that you are utilizing to forecast the value of the other variable.
The linear regression for Y (dependent variable) on X (independent variable) is given by:
Y = a + bX
where,
a be the y-intercept
b be the slope of the line
When the slope is positive (or negative), the regression line is presumed to be increasing, which gives rise to the characteristics for the assumption (or decreasing).
For a = 0.719, b = 0.704, and X = 3.2, the predicted college GPA exists,
Y′ = 0.719 + (0.704 \(*\) 3.2) = 2.9718
Therefore, the predicted college gpa be for a student whose current high school gpa = 3.2 is 2.9718.
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The total amount of kinetic and potential energy in a system is called
Answers
The total amount of kinetic and potential energy in a system is called mechanical energy.
Mechanical energy is the sum of kinetic energy and potential energy within a system. Kinetic energy (KE) is the energy possessed by an object due to its motion, and it is calculated using the formula KE = (1/2)mv², where m is the mass of the object and v is its velocity. Potential energy (PE) is the energy possessed by an object due to its position or condition, and it can be gravitational potential energy, elastic potential energy, or other forms. The total mechanical energy (ME) is obtained by adding the kinetic and potential energy together, so ME = KE + PE.
In summary, the total amount of kinetic and potential energy in a system is referred to as mechanical energy. This energy accounts for both the motion and position-related energies within the system. The calculation of mechanical energy involves summing the kinetic energy, which depends on the mass and velocity of the objects, with the potential energy, which can arise from factors such as gravity or elasticity. Understanding and analyzing the mechanical energy in a system can provide insights into its overall energy distribution and behavior.
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Katie is flying her kite is with 240 ft of string. If the kite is 35 yards in the air, what is the angle
of elevation between Katie and the kite?
Answers
By answering the presented question, we may conclude that Therefore, the angle of elevation between Katie and the kite is approximately 24.49 degrees.
what are angles?An angle is a form in Euclidean geometry that is made up of two rays that meet at a point in the centre known as the angle's vertex. Two rays may combine to form an angle in the plane where they are situated. When two planes intersect, an angle is generated. They are referred to as dihedral angles. An angle in plane geometry is a potential configuration of two radiations or lines that represent a termination. The word "angle" comes from the Latin word "angulus," which meaning "horn." The vertex is the place where the two rays, also known as the angle's sides, meet.
First, let's convert the height of the kite from yards to feet since the length of the string is given in feet:
35 yards = 105 feet
We can use the inverse tangent function (tan⁻¹) to find the angle θ:
tanθ = opposite/adjacent
tanθ = 105/240
θ = tan⁻¹(105/240)
θ ≈ 24.49 degrees
Therefore, the angle of elevation between Katie and the kite is approximately 24.49 degrees.
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find the perimeter. x+10y units 4x^2-x+9y units
Answers
The perimeter of the rectangle is equal to (8x² + 38) units.
Perimeter of rectangleThe perimeter of a rectangle is the sum of length of its four sides or the sum of its length and breadth, multiplied by two.
length = (4x² - x + 9y) units
breadth = (x + 10y) units
perimeter = 2×(length + breadth)
perimeter of the rectangle = 2(4x² - x + 9y + x + 10y) units
perimeter of the rectangle = 2(4x² + x - x + 9y + 10y) units
perimeter of the rectangle = 2(4x² + 19y) units
perimeter of the rectangle = (8x² + 38y) units
Therefore, the perimeter of the rectangle is equal to (8x² + 38) units.
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PLEASE HELP MEEEE!!!!
x is less than or equal to 5 but greater than -2
Answers
Answer:
It's gotta be 5. All the possible answers are 1, 2, 3, 4, and 5. Because there are so many the logical way to go is 5
when a boy complete 5 rounds around circular pond, he covers a distance of 1100 m. i)Find the perimeter of the pond.
Answers
The perimeter of circular pond is 1100 m
Pls pls pls pls pls pls pls pls
Answers
the correct statement is the first one.
The inverse of 6^2 is 6^(1/2), then 6^(1/2) is the square root of 6.
Which statement explains why 6^(1/2) is equal to √6?Well, this is just a notation thing.
We know the following property for exponents:
(a^n)^m = a^(n*m)
And we know that the square rooth is the inverse of the square power (exponent equal to 2) such that:
√x^2 = 2
Then if we define the square root as an exponent, let's say that is an exponent "a" we will have:
√x = x^a
Rewritting the above relation again, we can write:
√(x^2) = (x^2)^a = x^(2*a)
And we know that it must be equal to x, so we get:
x^(2*a) = x
This means that 2*a = 1
then a = 1/2
√x = x(1/2)
Then the correct statement is the first one.
The inverse of 6^2 is 6^(1/2), then 6^(1/2) is the square root of 6.
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There are 104 coins in a bottle.
1/2 of the coins are £1 coins.
The rest of the coins are 20p coins.
Work out the total value of 104 coins.
Answers
Answer:
its easy solve it with calculator
Step-by-step explanation:
a better understanding of how I can solve for 1/2d-3/4d+3f-2f
Answers
The simplified form of the given expression is, 1/4d + f.
What is simplified form of the expression?
To simplify an expression, create an equivalent expression without any terms that are similar.
The expression will then be rewritten using the fewest terms possible.
Mathematical operations can be made much simpler by using the right order of operations. Exponents, terms in parentheses, multiplication, division, addition, and finally subtraction are the correct order of operations.
Consider the given expression,
1/2d - 3/4d + 3f - 2f
Here the like terms are '1/2d and 3/4d' and '3f and 2f'.
To simplify the expression,
1/4d + f
Hence, the simplified form of the given expression is, 1/4d + f.
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HIN
The cliff dwellings in Mesa Verde
National Park are accessible to visitors
only when accompanied by a park
ranger. Billy is at a cliff dwelling in
Mesa Verde National Park. So, Billy
(is, may be, is not) with a park ranger.
Deductive reasoning
Answers
Answer: Be careful !
Billy is with a park ranger. Should be correct BUT
It is not given that Billy is visiting the cliff dwelling.
Billy may be the Park Ranger.
So Billy may be with a park ranger.
Step-by-step explanation:
17. In which of the following drawings is DE parallel to AC?
Answers
Answer:
option D is pretty close but not parallel obviously
Equilibrium Price: Skateboards The demand for your factory-made skateboards, in weekly sales, is
q = −4p + 50
if the selling price is $p. If you are selling them at that price, you can obtain
q = 3p − 30
per week from the factory. At what price should you sell your skateboards so that there is neither a shortage nor a surplus? (Round your answer to the nearest cent.)
Answers
At the price of 20/7 dollars, it should sell your skateboards so that there is neither a shortage nor a surplus.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be one degree.
To calculate the price should sell your skateboards for so that there is neither a shortage nor a surplus we would have to make the following calculation as;
q (sales) = q (supply)
−4p + 50 = 3p − 30
-4p - 3p = -30 - 50
-7p = -20
p = 20/7
At the price of 20/7 dollars it should sell your skateboards so that there is neither a shortage nor a surplus.
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The length and width of a rectangle are each less than 1 unit long Wich statement is true about the rectangle? A: the area is greater than 2 square units B: the area is between 1 square unit and 2 square units C: the area is between 0 square units and 1 square unit D: the area equals 1 square unit
Answers
Answer:
C: the area is between 0 square unit and 1 square unit.
Step-by-step explanation:
A rectangle is a quadrilateral which has equal and parallel opposite sides. Its area can be determined by;
Area of a rectangle = length x width
In the given question, the length and width of the rectangle are less than 1 unit long. Thus assume that the length is 0.9 cm and width is 0.6 cm, then;
Area = 0.9 x 0.6
= 0.54
Area = 0.54 \(cm^{2}\)
Thus, since the length and width are both less than 1, then the area of the rectangle is between 0 square units and 1 square unit.
20/3=2(w+2/3)
What’s the value of w
Answers
Answer: w=8/3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
20 /3 =2(w+ ( 2 /3 )
20 /3 =(2)(w)+(2)( 2 /3 )(Distribute)
20 /3 =2w+ 4 /3
Step 2: Flip the equation.
2w+ 4 /3 = 20 /3
Subtract 4/3 from each side: 2w+ 4 /3 − 4 /3 = 20 /3 − 4 /3
Divide both sides by 2: 2w/ 2 =16 3 /2
Answer w=8/3
Answer:
w=8/3
Step-by-step explanation:
george places a mirror on the ground 45ft from the base of building. He walks backward until he can see the top of the building in the middle of the mirror. At that point, George’s eyes are 6th above the ground and he is 7.5ft from the mirror. Use similar triangles to find the height of the building.
Answers
The height of the building is given as follows:
36 ft.
How to obtain the height of the building?In this problem, we have two similar triangles, meaning that their side lengths are proportional.
As the triangles are similar, the equation involving proportions for the equivalent side lengths is given as follows:
x/6 = 45/7.5.
Applying the division on the right side of the equality, we have that:
45/7.5 = 6.
Hence:
x/6 = 6.
Applying cross multiplication, the height is given as follows:
x = 6(6) = 36 ft.
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A restaurant owner is planning to have a courtyard area sodded. The sod comes in rolls that are 3 feet long by 1 foot wide. If the courtyard measures 60 feet by 50 feet, which of the following expressions represents the number of rolls of sod needed?
Answers
Answer:
\((60\times 50)\div 3\)
Step-by-step explanation:
We are given that
Length of roll of sod, l=3 feet
Width of roll of sod, b=1 feet
Length of courtyard, L=60 feet
Breadth of courtyard, B=50 feet
Area of rectangle=\(Length\times breadth\)
Using the formula
Area of roll of sod=\(3\times 1 feet^2\)
Area of roll of sod=3 square feet
Area of courtyard=\(60\times 50\) square feet
Number of rolls of sod needed=\(\frac{Area\;of\;courtyard}{area\;of\;roll\;of\;sod}\)
Using the formula
Number of rolls of sod needed=\(\frac{60\times 50}{3}\)
Number of rolls of sod needed=\((60\times 50)\div 3\)
This is required expression which represents the number of rolls of sod needed.
the following data show the midterm and final exam scores in an english writing class.find the sample correlation coefficient of the midterm and final exam scores (round off to first decimal place).
Answers
Sample correlation B = R in output = 0.7 The above data is calculated from parameter estimation.
What is the sample correlation coefficient?The Pearson correlation coefficient (PCC) is a statistical measure of linear correlation between two data sets. It is also referred to as Pearson's r, the Pearson product-moment correlation coefficient (PPMCC), the bivariate correlation, or simply the correlation coefficient. It is a normalised covariance measurement, with the result always falling between 1 and 1. It is the ratio between the covariance of two variables and the product of their standard deviations. The measure, like covariance itself, can only account for linear correlations between variables and ignores numerous other kinds of connections or correlations.
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Evaluate 1/2t + 3/8 when t = 1/4
Answers
Answer:
the answer is seven - eighths i think
Step-by-step explanation:
Answer
1/2
Evaluate: Enter a number for each variable.
1/2t+3/8
Evaluate for t=1/4
1/2 (1/4)+3/8
1/2 (1/4)+3/8
=1/2 or (Decimal: 0.5)
What is the decimal equivalent of the rational number 17/33
Answers
Answer:
0.51
Step-by-step explanation:
divide 17 by 33 and round to the nearest hundrenth
PLEASE HELP MEEEEEEE THANK YOU
Choose the best answer: The solution of ? includes the entire line y = 2x + 1.
y 2x + 2
y 2x + 1
y < 2x
y 2
Answers
Answer:
the correct one is y < 2x
Step-by-step explanation:
Answer:
y 2x + 1 or B
Step-by-step explanation:
thats whats right on edge
It is known that X has a uniform distribution with μ=0.5 minutes and σ=0.29 minutes. Suppose a random sample of 64 people is selected. The shape of the sampling distribution of X
ˉ is: Uniform Approximately Normal Normal not enough information to determine
Answers
In this scenario, the shape of the sampling distribution of X-bar is approximately normal.
The sampling distribution of the sample mean, X-bar, can be determined by the Central Limit Theorem. In this case, since the sample size is large (n = 64) and the underlying distribution (X) is approximately normal, the sampling distribution of X-bar will also be approximately normal. The Central Limit Theorem states that regardless of the shape of the population distribution, as the sample size increases, the sampling distribution of X-bar tends to become more and more normal. Therefore, in this scenario, the shape of the sampling distribution of X-bar is approximately normal.
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answer these quick please!
Answers
Answer: The daily cost of production in a factory is calculated using
c(x) = 200 +16 x, where x is the number of complete products manufactured.
Complete products manufactured will can not be a decimal or fraction number.
The domain of function c(x) will be the set of values x can take.x will be a set of whole numbers. Whole numbers are positive numbers, including zero, without any decimal or fractional parts.
Option D) whole numbers is the right answer.
(4) f(1) = 3, f(n+1)=3f(n) - 2
Step-by-step explanation: I hope this helps.
Answer:
See attached worksheet
Step-by-step explanation:
Janelle is shopping around for the best cell phone plan. The best company is offering a $50 set up fee plus $60 per month. If the contract is for one year, how much will Janelle end up paying after one year?
$650
None of these choices are correct.
$770
$700
$720
Answers
Answer:
770
Step-by-step explanation:
12 month ×60 per month
Plus 50 set up fee
=770
Describe the transformation from the graph (Desmos!)
Answers
Answer: (I am really not sure the answer if it is wrong I am so sorry)
h=3, k=2
Horizontal: up, 2 units
Vertical: up, 3 units
Your aunt offers you a choice of $22,000 in 20 years or $820 today. Use Appendix B as an approximate answer, but calculate your final answer using the formula and financial calculator methods. a-1. If money is discounted at 18 percent, what is the present value of the $22,000 ? (Do not round intermediate calculations. Round your final answer to 2 decimal places.) a-2. Which offer should you choose? $22.000 in 20 years $820 today
Answers
The problem presents a choice between receiving $22,000 in 20 years or $820 today. We are asked to determine the present value of $22,000 using a discount rate of 18 percent and determine which offer is more favorable. It would be more advantageous to choose the $820 offer today rather than waiting for $22,000 in 20 years
a-1. To calculate the present value of $22,000, we can use the formula for present value (PV) which is given by PV = FV / (1 + r)^n, where FV is the future value, r is the discount rate, and n is the number of periods. Plugging in the values, we have PV = $22,000 / (1 + 0.18)^20. Evaluating this expression, we find the present value to be approximately $1,779.82.
a-2. Comparing the present value of $22,000 ($1,779.82) to the immediate offer of $820, we can see that the present value is significantly lower. Therefore, based on financial calculations, it would be more advantageous to choose the $820 offer today rather than waiting for $22,000 in 20 years.
Note: It is important to consider that financial decisions may involve various factors and considerations beyond the scope of this analysis, such as individual financial goals, risk tolerance, and alternative investment opportunities.
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