The economic dynamism, which is the index of productive growth in dollars for countries that are designated by the World Bank as middle-income are in table #7.3.8 ("SOCR data 2008," 2013). Countries that are considered high-income have a mean economic dynamism of 60.29. Do the data show that the mean economic dynamism of middle-income countries is less than the mean for high-income countries? Test at the 5% level. Table #7.3.8: Economic Dynamism of Middle Income Countries
25.8057 37.4511 51.915 43.6952 47.8506 43.7178 58.0767 41.1648 38.0793 37.7251 39.6553 42.0265 48.6159 43.8555 49.1361 61.9281 41.9543 44.9346 46.0521 48.3652 43.6252 50.9866 59.1724 39.6282 33.6074 21.6643
Answers
Answer:
No. At a significance level of 0.05, there is not enough evidence to support the claim that the mean economic dynamism of middle-income countries is less than the mean for high-income countries (60.29).
Test staitistic t= -1.02
P-value=0.159
Step-by-step explanation:
We have a sample of size n=26, with mean 43.8727 and standard deviation s=82.2857.
\(M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{26}(25.8057+37.4511+51.915+43.6952+47.8506+. . .+21.6643)\\\\\\M=\dfrac{1140.689}{26}\\\\\\M=43.8727\\\\\\s=\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2\\\\\\s=\dfrac{1}{25}((25.8057-43.8727)^2+. . . +(21.6643-43.8727)^2)\\\\\\s=\dfrac{2057.1431}{25}\\\\\\s=82.2857\\\\\\\)
This is a hypothesis test for the population mean.
The claim is that the mean economic dynamism of middle-income countries is less than the mean for high-income countries (60.29).
Then, the null and alternative hypothesis are:
\(H_0: \mu=60.29\\\\H_a:\mu< 60.29\)
The significance level is 0.05.
The sample has a size n=26.
The sample mean is M=43.8727.
As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=82.2857.
The estimated standard error of the mean is computed using the formula:
\(s_M=\dfrac{s}{\sqrt{n}}=\dfrac{82.2857}{\sqrt{26}}=16.138\)
Then, we can calculate the t-statistic as:
\(t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{43.8727-60.29}{16.138}=\dfrac{-16.42}{16.138}=-1.02\)
The degrees of freedom for this sample size are:
\(df=n-1=26-1=25\)
This test is a left-tailed test, with 25 degrees of freedom and t=-1.02, so the P-value for this test is calculated as (using a t-table):
\(\text{P-value}=P(t<-1.02)=0.159\)
As the P-value (0.159) is bigger than the significance level (0.05), the effect is not significant.
The null hypothesis failed to be rejected.
There is not enough evidence to support the claim that the mean economic dynamism of middle-income countries is less than the mean for high-income countries (60.29).
Related Questions
Annie was given two pieces of information and must write the equation of a line. She knows the line crosses the y-axis at the point (0,6)
and has a slope of 7
. What is the equation of the line?
Answers
The equation of the line is y = 7x + 6.
What is slope intercept form?
The slope intercept form of an equation is represented as follows:
y = mx + c ,where m = slope c = y-intercept
The of a line can be written in slope-intercept form:
y = mx + b
where m is the slope of the line, b is the y-intercept (where the line crosses the y-axis), and (x,y) are the coordinates of any point on the line.
We are given that the line crosses the y-axis at the point (0,6), which means that the y-intercept is 6. We are also given that the slope of the line is 7.
Substituting these values into the slope-intercept form of the equation, we get:
y = 7x + 6
Therefore, the equation of the line is y = 7x + 6.
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how many groups of3/4 are in 11/4
Answers
Answer:
Three groups of 3/4 fit in 11/4
Step-by-step explanation:
Three groups of 3/4 would be 9/4, any more groups of 3/4 will exceed 11/4
Answer:
3 groups
Step-by-step explanation:
3, 6, 9, 12. 12 > 11
12 is over 11, and counting by 3’s tells you how many groups of 3/4 are in 11/4. If you move the fraction away for a minute it gets easier!
which is the least per pound 5 pounds of chicken for 9.45,3 pounds for 5.97, or 1 pound for 2.05
Answers
5 pounds - 1.89
3 pounds - 1.99
1 pound - 2.05
In this case, the 5 pounds of chicken is the cheapest by exactly one dime.
hey guys i need help plz will give brainlist
Answers
Step-by-step explanation:
Effective resistance in the 30Ω and 40Ω parallel circuit = 1 / (1/30 + 1/40) = 120/7 Ω.
20Ω + 10Ω = 30Ω
Effective resistance in the 50Ω and (20Ω + 10Ω) parallel circuit = 1 / (1/50 + 1/30) = 75/4 Ω.
Now we can add the resistances up:
Effective resistance for circuit
= 120/7 Ω + 75/4 Ω = 1005/28 Ω.
Hence I = V / R
= 9.0V / (1005/28 Ω) = 0.25A. (2s.f.)
6. Heather can take care of 28 patients in an hour. How many patients could she take care of in 8 hours?
Answers
Answer:
224
Step-by-step explanation:
Multiply 28 by 8 because 28 is the unit rate for an hour!
3 to the power of 5 = 243. Explain how to use that fact to quickly evaluate 3 to the power of 6
Answers
Step-by-step explanation:
3^6 = 3 * 3^5
= 3 * 243 = 729
Sam and Bruno were computing how many kilometers they rode in the 3 bike trips they took last month. In order, they rode 45.7, 40.9, and 38 miles. Their solutions are shown.
Answers
Answer:
We are given number of miles the 3 bike trips they took last month = 45.7, 40.9, and 38 miles.
Sam and Bruno were computing how many kilometers.
Also one kilometer equals 0.621 miles.
From this we can see than 1 kilometer is smaller unit and a mile is a larger unit.
In order to convert number of miles into kilometers, we need to divide each number of mile by 0.621 miles.
We always divide a larger value by a smaller value to get the smaller unit.
Therefore,
Bruno is correct. When going from a larger unit to a smaller unit you need to divide.
Step-by-step explanation:
Hopefully this helped, if not HMU and I will get u a better answer.
-Have a great day! :)
A store is having a sale on jelly beans and almonds. For 3 pounds of jelly beans and 5 pounds of almonds, the total cost is $27. For 9 pounds of jelly beans and
7 pounds of almonds, the total cost is $51. Find the cost for each pound of jelly beans and each pound of almonds.
Cost for each pound of jelly beans:
Cost for each pound of almonds:
Answers
Answer:
Cost for each pound of jelly beans: $2.75
Cost for each pound of almonds: $3.75
Step-by-step explanation:
Let J be the cost of one pound of jelly beans.
Let A be the cost of one pound of almonds.
Using the given information, we can create a system of equations.
Given 3 pounds of jelly beans and 5 pounds of almonds cost $27:
\(\implies 3J + 5A = 27\)
Given 9 pounds of jelly beans and 7 pounds of almonds cost $51:
\(\implies 9J + 7A = 51\)
Therefore, the system of equations is:
\(\begin{cases}3J+5A=27\\9J+7A=51\end{cases}\)
To solve the system of equations, multiply the first equation by 3 to create a third equation:
\(3J \cdot 3+5A \cdot 3=27 \cdot 3\)
\(9J+15A=81\)
Subtract the second equation from the third equation to eliminate the J term.
\(\begin{array}{crcrcl}&9J & + & 15A & = & 81\\\vphantom{\dfrac12}- & (9J & + & 7A & = & 51)\\\cline{2-6}\vphantom{\dfrac12} &&&8A&=&30\end{array}\)
Solve the equation for A by dividing both sides by 8:
\(\dfrac{8A}{8}=\dfrac{30}{8}\)
\(A=3.75\)
Therefore, the cost of one pound of almonds is $3.75.
Now that we know the cost of one pound of almonds, we can substitute this value into one of the original equations to solve for J.
Using the first equation:
\(3J+5(3.75)=27\)
\(3J+18.75=27\)
\(3J+18.75-18/75=27-18.75\)
\(3J=8.25\)
\(\dfrac{3J}{3}=\dfrac{8.25}{3}\)
\(J=2.75\)
Therefore, the cost of one pound of jelly beans is $2.75.
What is the premium for $75,000 for a 33 year old female, for a 20-year policy?
A) $286.50
B) $587.25
C) $594.75
D) $1415.25
Answers
The answer is A) $286.50
75000/1000 = 75
75 x $3.83 = $286.50
The annual premium for the lifetime insurance based on the stated conditions is $594.75
What is the annual premium?The annual premium represents the periodic payment that the insured is expected to pay to the insurance company for an insurance policy contract.
Using the table which gives the annual premium per $1000; the premium paid annually by the 33-year-old male is $594.75
The total annual premium = $75000
Using the data in the table :
Annual premium per $1000 of coverage for a 33-year-old male with a 20 - years life insurance policy = $7.93
The annual premium for $75,000 ;
Premium per $1000 × ($75000/$1000)
Annual premium = $7.93 × ($75,000/1000)
Annual premium = $7.93 × 75 = $594.75
Therefore, the annual premium for the lifetime insurance based on the stated conditions is $594.75
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MyCar Rental charges $15 per day to rent one of its cars plus an
$8 service charge.
a. Write an equation that gives the total cost, y, for the number of
days, x, that a car is rented.
b. State the slope and the y-intercept of the line that your equation
represents.
Answers
Answer:
y = 15x + 8 slope = 15 y-intercept = 8
Step-by-step explanation:
Need help with question #4
Answers
(a) Chemical equation C120 + H3N → NH4Cl + Nz + H20 is written in augmented matrix form below. (b) on day 2, there are 142 healthy people and 148 sick people.
Describe Chemical Equation?A chemical equation is a shorthand representation of a chemical reaction. It uses symbols and formulas to show the reactants and products involved in the reaction and their relative amounts.
(a) To balance the chemical equation C120 + H3N → NH4Cl + Nz + H20, we need to ensure that the number of atoms of each element is equal on both sides of the equation.
We can start by listing the atoms for each element:
Carbon (C): 1 on the left, 0 on the right
Hydrogen (H): 3 on the left, 4 on the right
Nitrogen (N): 1 on the left, 2 on the right
Oxygen (O): 1 on the left, 1 on the right
To balance the equation, we need to add coefficients to each compound to ensure that the number of atoms of each element is equal on both sides. One possible solution is:
C120 + 2H3N → 2NH4Cl + N2 + H20
This gives us the following system of equations:
C: 1 = 1
H: 3(2) = 8
N: 1(2) = 2
O: 1 = 1
Written in matrix form, the augmented matrix is:
[1 0 0 0 0 0 | 1]
[0 8 0 2 0 1 | 0]
[0 0 2 0 1 0 | 0]
[0 0 0 0 0 0 | 0]
(b) Let H(n) and S(n) denote the number of healthy and sick people, respectively, on day n. Using the information given, we can write a difference equation for the number of healthy people:
H(n+1) = 0.9H(n) + 0.4S(n)
Similarly, we can write a difference equation for the number of sick people:
S(n+1) = 0.1H(n) + 0.6S(n)
We know that on day 0, there are 100 healthy people and 100 sick people:
H(0) = 100
S(0) = 100
To find the number of healthy and sick people on day 2, we can use the difference equations:
H(1) = 0.9(100) + 0.4(100) = 130
S(1) = 0.1(100) + 0.6(100) = 160
H(2) = 0.9(130) + 0.4(160) = 142
S(2) = 0.1(130) + 0.6(160) = 148
Therefore, on day 2, there are 142 healthy people and 148 sick people.
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Can the following list represent a complete probability model? P(2)= 1/12 P(3) = 2/3 P(4) = 1/4
Answers
Therefore , the solution of the given problem of probability comes out to be a complete probability model cannot be represented by this list.
What exactly is probability?The main objective of each considerations technique is to calculate the likelihood that a claim is true or that a particular incident will occur. Anything between 0 and 1, were 0 traditionally denotes a percentage and 1 typically denotes the degree of certainty, can be used to represent chance. A probability illustration shows the likelihood that a particular event will occur.
Here,
The probabilities assigned to the outcomes do not add up to 1, hence the following list cannot be a complete probability model.
=> P(2) + P(3) + P(4)
=> 1/12 + 2/3 + 1/4
=> (1 + 8 + 3) / 12
=> 12 / 12 = 1
In a complete probability model, the total of the probabilities should always be equal to 1, indicating that there is a probability of 1 that one of the events will occur.
In this instance, there is a missing probability since the sum of the probabilities assigned to the possible possibilities is less than 1.
Therefore, a complete probability model cannot be represented by this list.
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A swimming pool is in the shape of this prism. A cubic foot of water is about 7.5 gallons. How many gallons of water can the pool hold? If a pump is able to pump water into the pool at a rate of 15 gallons per minute, how long will it take to fill the pool?
Answers
Answer:
48,000
Step-by-step explanation:
SOLUTION: Each cubic foot holds 7.5 gallons of water. So, the amount of water required to fill the pool is 6400(7.5) = 48,000.
At a high school, the probability that a student is a senior is 0.20. The
probability that a student plays a
sport is 0.15. The probability that a student
IS a senior and plays a sport is 0.05.
What is the probability that a randomly selected student plays a sport, given
that the student is a senior?
• A. 0.25
• B. 0.15
•
C. 0.33
•
D. 0.05
Answers
Answer: Hope This Helps!
Step-by-step explanation:
Probability that a student is a senior = 0.20. Therefore, the probability that a randomly selected student plays a sport, given that the student is a senior will be 0.25 and option A is the correct choice.
The probability that a student is a senior is equal to 0.20.
We have given that,
At a high school, the probability that a student is a senior is 0.20. The
probability that a student plays a sport is 0.15. The probability that a student IS a senior and plays a sport is 0.05.
What is the probability?
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
Therefore, the probability that a randomly selected student plays a sport, given that the student is a senior will be 0.25, and option A is the correct choice.
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Vivek graphs the equations and to solve the equation His graph is shown below.
What are the solutions of
–4 and 2
–4 and 1
0 and 4
1 and 4
Answers
The solutions of the equation of the graph is -4 and 2.
What is solution of equation?An placement of values to the uncertainties that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself. Particularly but not exclusively for polynomial equations, the solution of an equation is frequently referred to as the equation's root. An equation's solution set is the collection of all possible solutions.
We know that the solution of the equation is determined using the graph by obtaining the point of intersection of the equation.
In the given graph the point of intersection of the two equations are at x = -4 and x = 2.
Hence, the solutions of the equation of the graph is -4 and 2.
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The complete question is:
On a coordinate plane, a line goes through points (0, 1) and (3, negative 1). Consider the graph of the line. Using the rise/run counting method, the slope of the line is .
Answers
Answer: The slope of the line is -2/3.
Step-by-step explanation:
How I think of it is that on the y plane on a graph, going from positive 1 to negative 1 you need to move down 2 places and thats the "rise" part of rise over run eventhough you moved down. Then on the x plane, going from 0 to 3 you need to move 3 spaces to the right on the graph and thats the "run" part of rise over run because you can either move left or right. Rise over run can also be thought of as change in y over change in x which means that since i went down 2 places on the y, the change in y was 2 and since we moved 3 places over on the x plane the change in x whould be 3. Since we move down and then to the right on the graph, the line being created would be negative, so you final answer for the slope is -2/3!
I hope this helps :)
Answer:
-2/3
Step-by-step explanation:
Hope this helps!
Solve the equation below for x by graphing
3x =8_2x
Answers
The solution to the equation 3x = 8 - 2x is x = 1.6.
To solve the equation 3x = 8 - 2x by graphing, we can plot the two sides of the equation as functions of x and find the point(s) where they intersect. Here's a step-by-step explanation:
Express the equation in the form of y = f(x). Rearrange the equation:
3x + 2x = 8
5x = 8
x = 8/5 or 1.6
Graph the functions y = 3x and y = 8 - 2x on the same coordinate plane. The line represented by y = 3x is upward sloping, and the line represented by y = 8 - 2x is downward sloping.
Plot the points (1.6, 3(1.6)) and (1.6, 8 - 2(1.6)) on the graph.
The point of intersection represents the solution to the equation. In this case, the lines intersect at (1.6, 4.8).
Therefore, the solution to the equation 3x = 8 - 2x is x = 1.6.
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answer t h i s. p l e a s e
Answers
Need help please . 20 points please
Answers
Answer:
c
Step-by-step explanation:
how you gonna give me 20 if you listed it as 10
7. A floor is covered by 800 tiles measuring 10 squared cm. How many square tiles of side 8 cm would be needed to cover the same floor?
Answers
Answer:
1000 tiles
Step-by-step explanation:
Determine total floor space
800 x 10 = 8000 squared cm total floor space.
Divide floor space by size of tile
8000 / 8 = 1000 tiles now required to cover the floor.
The three steps below were used to find the value of the expression [(-10 + 2) - 1] + (2 + 3). Step 1: ? Step 2: -9 + 2 + 3 Step 3: -7 + 3 Which expression is missing from Step 1? Question 3 options: [-10 + -1 + 2] + (2 + 3) [-8 - 1] + (2 + 3) [-10 + 1] + (2 + 3) [8 + 1] + (2 + 3)
Answers
Therefore, the missing expression in Step 1 is [-8 - 1] + (2 + 3).
In order to find the missing expression in Step 1, let's analyze the given steps and the final expression.
Step 1: ?
Step 2: -9 + 2 + 3
Step 3: -7 + 3
To find the missing expression in Step 1, we need to work backwards from Step 3 to Step 1.
In Step 3, the expression "-7 + 3" gives us a result of -4.
In Step 2, the expression "-9 + 2 + 3" gives us a result of -4.
So, the missing expression in Step 1 should also evaluate to -4 when performed correctly.
Let's check the available options:
[-10 + -1 + 2] + (2 + 3) = -11 + 2 + 5 = -4
[-8 - 1] + (2 + 3) = -9 + 5 = -4
[-10 + 1] + (2 + 3) = -9 + 5 = -4
[8 + 1] + (2 + 3) = 9 + 5 = 14
Out of the given options, only option 2, [-8 - 1] + (2 + 3), correctly evaluates to -4. Therefore, the missing expression in Step 1 is [-8 - 1] + (2 + 3).
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DHL makes deliveries of a large number of products to its customers. Suppose it is known that 85% of all the orders it receives from its customers are delivered on time. Suppose a random sample of 100 orders are selected;
A. What is the mean and standard error of the sampling distributions of sample proportions in this example?
B. What is the shape of the sampling distribution of the sample proportions?
C. What is the likelihood the sample proportion of orders delivered on time will be less than 0.87?
D. The central 68.26% of the sample proportions are between which two sample proportions?
Answers
A. The mean of the sampling distribution is 0.85 (85%), and the standard error is approximately 0.085.
B. Since the sample size is 100, we can assume that the shape of the sampling distribution of the sample proportions is approximately normal.
C. The likelihood that the sample proportion of orders delivered on time will be less than 0.87 is approximately 59.07%.
D, The central 68.26% of the sample proportions are between 0.765 and 0.935.
To calculate the mean and standard error of the sampling distribution of sample proportions, we can use the following formulas:
Mean (μ) = p
= 85%
= 0.85
Standard Error (SE) = √[(p × (1 - p)) / n]
Where p is the population proportion (0.85) and n is the sample size (100).
Calculating the standard error:
SE = √[(0.85 × (1 - 0.85)) / 100]
SE = √[(0.7225) / 100]
SE = √[0.007225]
SE ≈ 0.085
The sampling distribution of sample proportions can be approximated by a normal distribution when the sample size is sufficiently large (central limit theorem).
To find the likelihood that the sample proportion of orders delivered on time will be less than 0.87, we need to calculate the z-score and refer to the standard normal distribution table.
First, we calculate the z-score:
z = (sample proportion - population proportion) / standard error
z = (0.87 - 0.85) / 0.085
z ≈ 0.02 / 0.085
z ≈ 0.235
Next, we look up the probability associated with the z-score of 0.235 in the standard normal distribution table.
The probability corresponds to the area to the left of the z-score.
Using the table, the probability is approximately 0.5907 or 59.07%.
The central 68.26% of the sample proportions are located within one standard deviation from the mean in a normal distribution.
To find the sample proportions that correspond to the central 68.26%, we can calculate the boundaries as follows:
Lower boundary: mean - standard deviation
Lower boundary = 0.85 - 0.085
Lower boundary = 0.765
Upper boundary: mean + standard deviation
Upper boundary = 0.85 + 0.085
Upper boundary = 0.935
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If x=-3 what does 6+5x
Answers
Answer:
-9
Step-by-step explanation:
Plug in -3 for the x value to get 6 + 5 (-3). Multiply 5 by -3 to get -15 and subtract that number from 6 to get -9 as your final answer.
In a newspaper, it was reported that the number of yearly robberies in Springfield in 2011 was 250, and then went up by 20% in 2012. How many robberies were there in Springfield in 2012?
Answers
250 x .2 = 50
You then add the answer (50) to the yearly number of robberies in Springfield in 2011 (250)
250 + 50 = 300
The number of robberies in Springfield in 2012 is 300
Each pack of hamburger rolls costs $1.50. How many packs can you buy with $8.00?
Answers
Answer:
5
Step-by-step explanation:
A complex shape combined frim a square and rectangle b=6, c=8, and d=12 what is the area of this complex figure?
Answers
The area of the complex figure is 132 square units
How to determine the area
From the information given, we have that the composite shape is a combination of a:
SquareRectangleThe formula for area of a square is given as:
Area = a ²
Where 'a' is the length of it side
Area = 6²
Area of square = 36 square units
The formula for area of a rectangle is given as:
Area = width × length
Area = 8 × 12
Area of rectangle = 96 square units
Area of the complex figure = Area of square + area of rectangle
= 36 + 96
= 132 square units
Thus, the area of the complex figure is 132 square units
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This week, Leigh spent a total of
$24.47 on groceries. Her total for
last week was $30.16. Solve the
equation $30.16 − $24.47 = y
to find out how much more
money Leigh spent last week
than this week.
Answers
Leigh spent $5.69 more than last week
Hope this helped :)
He jogging track has a length of 792 yards how long is this in miles
Answers
By performing the division, the jogging track is 0.45 miles long.
What is division?Division is a mathematical operation that involves the splitting of a quantity into equal parts or groups.
According to given information:The problem asks us to convert a length of 792 yards to miles. To do this, we need to use a conversion factor to relate yards to miles. We know that there are 1760 yards in a mile, so we can use this relationship to convert the length in yards to miles.
To convert yards to miles, we divide the length in yards by the number of yards in a mile. This is because we want to cancel out the units of yards and be left with the corresponding number of miles.
So, 792 yards / 1760 yards/mile gives us the length of the jogging track in miles. We can simplify this expression by performing the division to get the result of 0.45 miles. Therefore, the jogging track is 0.45 miles long.
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Mary can be 24 cookies one dozen per sheet in her oven in 12 minutes how long would it take her to bake 60 cookies
Answers
Which function is best represented by the graph?
Answers
Answer:This would be option letter C
Step-by-step explanation:The diagram is a gram of external geofram so the position Is fFX(4) ^N
Answer:
D
Step-by-step explanation:
f(x)= -x^2+4
Draw graph of -x^2 and shift it 4 units above