Hypotheses are always statements about the d. population parameters
Hypotheses are assertions or claims concerning population characteristics stated in statistics. An attribute or value of a population, such the population mean or percentage, is referred to as a population parameter. Based on sample data, hypothese are developed to draw conclusions or inferences about these population attributes.
The hypothesis can be expressed as comparisons of population metrics or as statements of equality or inequality. They serve as a basis for statistical studies and are used to examine certain assertions or research hypotheses. Finding pertinent solutions to the scientific inquiry is the main goal of the hypothesis. It is supported by a few evidences, and experimental methods are used to test the whole statement of the hypothesis.
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Complete Question:
Hypotheses are always statements about which of the following? choose the correct answer below.
a. sample statistics
b. sample size
c. estimators
d. population parameters
What is the scale factor from the original triangle to its copy as a percent?
The picture is down below.
Answer:
scale factor = 20%
Step-by-step explanation:
A scale factor is a multiplier which can be used to determine the rate between two or more dimensions.
In the given figure, the sides of the original triangle is 5 times greater than that of the copy. Thus,
the scale factor = [tex]\frac{copy length}{original length}[/tex] x 100%
= [tex]\frac{1}{5}[/tex] x 100%
= 20%
The scale factor of the original triangle to its copy is 20%. This implies that the dimensions of the original triangle are multiplied by 20% to determine that of the corresponding copy triangle. Thus, we scale down the dimensions of the original triangle by 20%.
Find the area using the limit of a sum (a Riemann sum) of the region between the graph of y = f(x) and the x-axis from x = a to x = b for the following: -- (
To find the area using the limit of a sum (a Riemann sum) of the region between the graph of y = f(x) and the x-axis from x = a to x = b, the formula is given by: Area = lim n → ∞ ∑ i = 1 n f(x* i )Δx, where f(x* i ) is the height of the ith rectangle and Δx is the width of the ith rectangle.
To find the area between the graph of y = f(x) and the x-axis from x = a to x = b using the limit of a sum, we need to first divide the interval [a, b] into n equal subintervals of length Δx = (b - a)/n. Then, we can choose any point x* i in the ith subinterval [x i-1 , x i ] and use it to determine the height of the ith rectangle f(x* i ).
Finally, we can take the limit as n approaches infinity to obtain the exact area of the region between the graph of y = f(x) and the x-axis from x = a to x = b.
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You have two coins, a blue and a red one. You choose one of the coins at random, each being chosen with probability
1/2. You then toss the chosen coin twice. The coins are biased: with the blue coin, the probability of heads in any given toss is 0.8, whereas for the red coin it is 0.2.
Let B denote the event that you’ve picked the blue coin.
Let Hi denote the event that the i-th toss resulted in heads for i = {1; 2)
Events H1 and H2 are independent by assumption.
(a) Compute P(H1):
(b) Compute P(H2):
(c) Compute P(H1 ∩ B):
(d) Compute P(H1 ∩ H2).
(e) Are events H1 and H2 independent? Why?
(f) Compute P(H2 | H1).
According to the question You have two coins, a blue and a red one. You choose one of the coins at random, each being chosen with probability are as follows :
(a) To compute P(H1), we need to consider the probability of getting heads on the first toss. There are two scenarios: either we picked the blue coin and got heads, or we picked the red coin and got heads.
[tex]\(P(H1) = P(H1 \cap B) + P(H1 \cap \bar{B}) = P(H1 | B)P(B) + P(H1 | \bar{B})P(\bar{B}) = 0.8 \times \frac{1}{2} + 0.2 \times \frac{1}{2} = 0.4 + 0.1 = 0.5\)[/tex]
(b) To compute P(H2), we can use the same reasoning as in part (a), considering the probability of getting heads on the second toss.
[tex]\(P(H2) = P(H2 \cap B) + P(H2 \cap \bar{B}) = P(H2 | B)P(B) + P(H2 | \bar{B})P(\bar{B}) = 0.8 \times \frac{1}{2} + 0.2 \times \frac{1}{2} = 0.4 + 0.1 = 0.5\)[/tex]
(c) To compute P(H1 ∩ B), we consider the probability of getting heads on the first toss given that we picked the blue coin.
[tex]\(P(H1 \cap B) = 0.8 \times \frac{1}{2} = 0.4\)[/tex]
(d) To compute P(H1 ∩ H2), we need to consider the probability of getting heads on both the first and second toss.
[tex]\(P(H1 \cap H2) = P(H1)P(H2 | H1)\)[/tex]
(e) The independence of events H1 and H2 can be determined by comparing [tex]\(P(H2 | H1)\)[/tex] and [tex]\(P(H2)\)[/tex] .
(f) To compute P(H2 | H1), we use the formula for conditional probability:
[tex]\(P(H2 | H1) = \frac{P(H1 \cap H2)}{P(H1)} = \frac{0.4}{0.5} = 0.8\)[/tex]
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a. Assuming a, b and k are constants, calculate the following derivative. d a ([8] c*) = | 7 2 b. Find a value of k so that ekt is a solution to a = -4 1 k = 7 c. Find a value of k so that ekt is a solution to ' = 2] -2 4 k = d. Write down the general solution in the form ₁ (t) = ? and ₂(t) =?, i.e., write down a formula for each component of the solution. Use A and B to denote arbitrary constants. x₁ (t) = x₂ (t) = [4] x. č.
a) The derivative of a constant times a constant is zero, so the derivative of da ([8] c*) with respect to c* is zero. b) there is no value of k that satisfies this equation. c) k = 2/e
How to find Find a value of k so that ekt is a solution to a = -4 1 k = 7a. The derivative of a constant times a constant is zero, so the derivative of da ([8] c*) with respect to c* is zero.
b. To find a value of k such that ekt is a solution to a = -4, we substitute ekt into the equation:
a = -4
ekt = -4
Since ekt is always positive, there is no value of k that satisfies this equation.
c. To find a value of k such that ekt is a solution to ' = 2, we substitute ekt into the equation:
' = 2
d(ekt)/dt = 2
Differentiating ekt with respect to t, we get:
kekt = 2
Dividing both sides by ek, we have:
k = 2/e
d. The general solution for the system of differential equations in the form x₁(t) = ? and x₂(t) = ? can be obtained by solving the system using the initial conditions and finding the values of the arbitrary constants A and B.
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Jackson is comparing two squares. The first square has an area of 64 cm2. The second square has an area of 121 cm2. What is the difference in the perimeters of the two squares in centimeters?
Answer:
12 cm difference
Step-by-step explanation:
√64 cm² = 8 cm
8 cm x 4 = 32 cm perimeter
√121 cm² = 11 cm
11 cm x 4 = 44 cm perimeter
44 cm - 32 cm = 12 cm difference
Provide an appropriate response. Determine the critical value, z o. to test the claim about the population proportion p *0.325 given n-42 and p-0247 Use a 0.05. a O 11.96 +2.33 O +1.645 O +2.575
Based on the information given, it should be noted that the critical value is +2.33.
How to explain the valueWe are given that the sample size is 42, the sample proportion is 0.247, and the significance level is 0.05. We want to test the claim that the population proportion is 0.325.
The critical value is the z-score that separates the rejection region from the non-rejection region. The rejection region is the area under the standard normal curve where we would reject the null hypothesis. The non-rejection region is the area under the standard normal curve where we would fail to reject the null hypothesis.
The z-table shows that the critical value for a two-tailed test with a significance level of 0.05 is +2.33. This means that if the z-score is greater than or equal to +2.33, we would reject the null hypothesis.
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.
Sadie buys milk and apples at the store.
She pays a total of $47.92.
She pays a total of $3.05 for the milk.
She buys 7 bags of apples that each cost the same amount.
How much does each bag of apples cost?
Answer:
$6.41
Step-by-step explanation:
47.92 - 3.05 = 44.87
44.87/7 = $6.41
What is the value of x?
r \ 130°
Answer:
Step-by-step explanation:
Answer:
I don't see an "x" or an equation-
Michael is making scale drawings of rectangular rooms using a scale of 1 inch : 1 and 1/2 feet. He wants to use paper that has a width of 8 and 1/2 inch and a length of 11 in for the drawing. Determine whether the scale drawings for each of these rooms will fit on one piece of paper.
Choose yes or no for each set of dimensions:
16 feet by 16 feet: yes or no?
10 ft by 15 ft: yes or no?
15 ft by 20 ft: yes or no
12 ft by 16 ft: yes or no?
Answer:
16ft by 16 ft: NO
10ft by 15ft: YES
15ft by 20ft: NO
12ft by 16ft: YES
Step-by-step explanation:
First, we know that the scale used is:
1 in = (1 + 1/2) ft.
This means that each inch on the drawing is equivalent to (1 + 1/2) ft.
We know that Michael uses a paper that has the measures:
width = (8 + 1/2) in
length = 11in
Then the maximum dimensions that can be represented with this paper are:
WIDTH = (8 + 1/2)*(1 + 1/2) ft. = (8 + 8/2 + 1/2 + 1/4) ft
= (8 + 4 + 2/4 + 1/4) ft
= (12 + 3/4) ft
LENGTH = 11*(1 + 1/2) ft = (11 + 11/2)ft = (11 + 10/2 + 1/2)ft
= (11 + 5 + 1/2)ft = (16 + 1/2) ft.
Now let's analyze the options, we can only draw the rooms in the paper if the measures are equal or smaller than the ones we found above:
Where the measures are written as: "width by length".
a) 16ft by 16 ft.
width = 16ft
length = 16ft
We can not draw this, because the maximum width that we can draw is (12 + 3/4) ft, which is smaller than 16ft.
b) 10 ft by 15 ft
width = 10ft
length = 15ft
Both are smaller than the maximum measures we found, then yes, we can draw this room.
c) 15 ft by 20 ft
width = 15ft
length = 20ft
Both are larger than the maximum measures, so no, we can not draw this.
d) 12ft by 16ft
width = 12ft < (12 + 3/4) ft = maximum width
lenth = 16ft < (16 + 1/2) ft = maximum length.
Both measures are smaller than the maximum ones, then we can draw this one
HELP ASAP!!! Find a counterexample to disprove the conjecture. Conjecture |x - y| = |x| - |y|
Answer:
Step-by-step explanation:
An absolute value of |x| {modulus of x} is the value of a real number x. The given equation is not true.
What is absolute Value?An absolute value of |x| {modulus of x} is the value of a real number x, the value we get is always a non-negative number, for example, |-5| will give 5, and also, |5| will give 5 as well.
A hypothesis is a speculative conclusion or assertion that is made without proof. Now, to prove that the given equation is not true substitute the value of both the variables as -1. Therefore,
x = y = -1
Substitute the value on the left side of the equation,
|x - y|
= |-1 - (-1)|
= |-1 + 1|
= |0|
= 0
Substitute the value on the right side of the equation,
|x| - |y|
= |-1| - |-1|
= 1 + 1
= 2
Since the left and the right side of the equation is not satisfied, therefore, it can be concluded that the given equation is not true.
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LAST QUESTION... THANK YOU!!
A researcher studies alcohol's effect on reaction time and finds no difference between people who consumed 1 versus 2 beverages. She included 40 participants randomly selected from the dining hall on campus, with a range in age from 18 to 38 years and a range in weight from 100 to 325 pounds. She decides to rerun her study with 30 women from 18 to 22 years of age and who are all of normal body weight and finds there is a statistical difference in reaction times between those who consumed 1 versus 2 beverages. Why might her results have changed
Answer:
Her results changed because the power increased due to the fact that she reduced variability in her data as a result of using a sample that had lesser variability.
Step-by-step explanation:
She is trying to find if there is difference between people who consumed 1 versus 2 beverages.
Now initially she surveyed 40 people between ages 18 to 38 years and of huge weights and found out there was no difference. However, she decided to run the survey again on only women aged 18 to 22 years with normal body weight.
Since she used a lesser sample size and surveyed only women, it means there will be lesser variability in the result as the sample is smaller and streamlined to only women.
Thus, her result changed because the power increased due to the fact that she reduced variability in her data as a result of using a sample that had lesser variability.
Solve the system by finding the reduced row-echelon form of the augmented matrix. 11 401 + 12 - 1423 321 +222 - 1323 = 12 reduced row-echelon form: (63 E] How many solutions are there to this system? A. None OB. Exactly 1 OC. Exactly 2 D. Exactly 3 OE. Infinitely many OF. None of the above If there is one solution, give its coordinates in the answer spaces below. If there are infinitely many solutions, entert in the answer blank for 23, enter a formula for 2, in terms of t in the answer blank for 2, and enter a formula for 21 in terms of t in the answer blank for 21 If there are no solutions, leave the answer blanks for 21, 22 and 23 empty.
The system has infinitely many solutions.
The given augmented matrix represents a system of linear equations. To find the reduced row-echelon form, we perform row operations to transform the matrix into a triangular form with leading entries (1s) and zeros below each leading entry. Let's denote the variables as x, y, and z.
After performing the necessary row operations, we arrive at the reduced row-echelon form:
1 0 -46.7273 | 00 1 4.18182 | 00 0 0 | 0From the reduced row-echelon form, we can deduce the following equations:
x - 46.7273z = 0y + 4.18182z = 0These equations reveal that the system contains infinitely many solutions. By assigning a parameter, such as z = t, where t represents any real number, we can express the solutions in terms of the parameter. Thus, the coordinates of the solution are given by:
x = 46.7273ty = -4.18182tz = tIn this case, there is an infinite number of possible solutions, and each solution is represented by a unique value of t. Therefore, the main answer is that the system has infinitely many solutions.
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A drinking glass is shaped like a cylinder, as shown below.
study the figure below...
8 centimeters... 16 centimeters...
Which measurement is closest to the volume of the drinking glass in cubic centimeters?
A. 6434 cm3
A. 6,434 centimeters cubed,
B. 804 cm3
B. , 804 centimeters cubed, ,
C. 1608 cm3
C. , 1,608 centimeters cubed, ,
D. 3217 cm3
Answer:
804 cm3
Step-by-step explanation:
multiply the lenght and the width then multiply by 3.14 which is pi.
find the area of a triangle
b = 30m
h = 15.6m
Answer:
234
Step-by-step explanation:
Answer:
234
Step-by-step explanation:
AREA FOR TRIANGLE: bh/2
b = base
h = height
-
30 x 15.6 = 468
468/2 = 234
-
hope this helped ! :D
Please answer correctly! I will Mark you as Brainliest!
Answer:
Try 8 if it's wrong sorry
Step-by-step explanation:
Find the product of -3/5× .-1.5 .
[tex] - \frac{3}{5} \times - 1 .5[/tex]
Answer:
bit.[tex]^{}[/tex]ly/3a8Nt8n
Step-by-step explanation:
what is the surface area of the cereal box?
A cereal box that is a rectangular prism with dimensions 11 inches by 3 inches by 8 inches.
224 in.2
352 in.2
290 in.2
176 in.2
Answer: It would be "290 in.2"
Step-by-step explanation:
A North American roulette wheel has 38 slots, of which 18 are red, 18 are black, and 2 are green. Suppose you decide to bet on red on each of 10 consecutive spins of the roulette wheel. Suppose you lose the first five wagers. Which of the following is true? a We're due for a win, so the sixth spin of the wheel is very likely to come up red b. The outcomes of the first five spins tell us nothing about what will happen on the next five spins. There should be more spins of red in the next five spins of the wheel, because there weren't any on the first five spins d. The wheel is not working properlyit favors outcomes that are not red. Hence, during the next five spins of the wheel, we're likely to continue to see few red outcomes QUESTION 19 At a large university, a simple random sample of five female professors is selected, and a simple random sample of 10 male professors is selected. The two samples are combined to give an overall sample of 15 professors The overall sample is Da a simple random sample. b. biased due to imbalance. ca stratified sample. d. All of the answer options are correct.
18. Option B is correct, the outcomes of the first five spins tell us nothing about what will happen on the next five spins.
19. Option D is correct, the overall sample is a simple random sample, biased due to imbalance and stratified sample, option d is correct.
18. Given that a North American roulette wheel has 38 slots, of which 18 are red, 18 are black, and 2 are green.
Each spin of the roulette wheel is an independent event, and the outcomes of previous spins do not influence the outcomes of future spins.
The wheel has no memory of previous results, so the probability of getting a red outcome on the sixth spin is the same as any other spin – 18 out of 38.
So, the outcomes of the first five spins tell us nothing about what will happen on the next five spins.
19. At a large university, a simple random sample of five female professors is selected, and a simple random sample of 10 male professors is selected.
The overall sample of 15 professors is a combination of two simple random samples, one from the female professors and the other from the male professors.
This makes it a stratified sample because it involves dividing the population (professors) into distinct groups (male and female) and then randomly sampling from each group.
Additionally, the overall sample can also be considered a simple random sample because it was obtained by randomly selecting individuals from the population without any bias
Hence, the overall sample is a simple random sample, biased due to imbalance and stratified sample, option d is correct.
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The 2015 American Community Survey estimated the median household income for each state. According to ACS, the 90% confidence interval for the 2015 median household income in Arizona is $
51
,
492
±
$
431.
$51,492±$431. Interpret the confidence level
The 90% confidence level means that we are 90% confident that the true median household income for Arizona falls within the given interval.
In statistical analysis, a confidence interval provides a range of values within which the true population parameter is likely to lie. In this case, the 90% confidence interval for the 2015 median household income in Arizona is stated as $51,492 ± $431.
Interpreting this confidence interval, we can say that we are 90% confident that the true median household income for Arizona in 2015 falls between $51,061 ($51,492 - $431) and $51,923 ($51,492 + $431). This means that if we were to take multiple samples and calculate their respective confidence intervals, approximately 90% of these intervals would contain the true median household income.
The confidence level represents the degree of certainty associated with the interval. In this case, a confidence level of 90% means that there is a 90% probability that the true median household income lies within the given range. It indicates a high level of confidence but allows for a 10% chance of the true value falling outside the interval.
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Select the correct comparison set a set b O A the typical value is greater is set a the spread is greater in set b
Answer:
(a)
Step-by-step explanation:
Given
See attachment for sets A and B
Required
The true statement about both sets
First, we calculate the typical values (mean) of set A and set B.
This is calculated as:
[tex]Mean = \frac{\sum fx}{\sum f}[/tex]
For A:
[tex]A= \frac{0*1+2*1+5*1+6*1+7*1}{1+1+1+1+1}[/tex]
[tex]A= \frac{20}{5}[/tex]
[tex]A =4[/tex]
For B:
[tex]B = \frac{7 * 1 + 8 *1 + 9 * 2 + 10 * 1}{1+1+2+1}[/tex]
[tex]B = \frac{43}{5}[/tex]
[tex]B = 8.6[/tex]
Here, we can conclude that B has a larger typical value
Next calculate the spread (range) of sets A and B
This is calculated as:
[tex]Range = Highest -Least[/tex]
For A:
[tex]A = 7 - 0[/tex]
[tex]A = 7[/tex]
For B
[tex]B=10 - 7[/tex]
[tex]B = 3[/tex]
Here, we can conclude that A has a larger spread.
Hence, (a) is true
y varies directly as x y=-8 when x=-2 what is the equation find x when y=32
Answer:
8
Step-by-step explanation:
in problems 5–12 use computer software to obtain a direction eld for the given differential equation. by hand, sketch an approximate solution curve passing through each of the given points.
To sketch an approximate solution curve passing through specific points, integrate the differential equation numerically Euler's method, Runge-Kutta methods, or solve the equation analytically if possible
To generate a direction field for a given differential equation using computer software, you can use mathematical software packages such as MATLAB, Python with libraries like NumPy and Matplotlib, or dedicated software like Wolfram Mathematica. Here, I will explain the general procedure using Python and Matplotlib.
Define the differential equation: Write down the differential equation you want to work with. For example, let's say we have a first-order ordinary differential equation dy/dx = x - y.
Import the necessary libraries: In Python, you'll need to import the required libraries, such as NumPy and Matplotlib. You can do this with the following code:
python
Copy code
import numpy as np
import matplotlib.pyplot as plt
Define the direction field function: Create a Python function that calculates the slope at each point (x, y) based on the given differential equation. For our example equation dy/dx = x - y, the function can be defined as follows:
python
Copy code
def direction_field(x, y):
return x - y
Generate a grid of points: Define the range of x and y values over which you want to generate the direction field. Create a mesh grid using NumPy's meshgrid function to generate a grid of points (x, y). For example:
python
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x = np.linspace(-5, 5, 20)
y = np.linspace(-5, 5, 20)
X, Y = np.meshgrid(x, y)
Calculate the slopes: Use the direction_field function to calculate the slopes (dy/dx) at each point in the grid. Store the result in a variable, such as dy_dx:
python
Copy code
dy_dx = direction_field(X, Y)
Plot the direction field: Use Matplotlib's quiver function to plot the direction field. This function creates arrows at each point (x, y) in the grid, indicating the direction of the slope (dy/dx). Here's an example:
python
Copy code
plt.figure(figsize=(8, 8))
plt.quiver(X, Y, np.ones_like(dy_dx), dy_dx)
plt.xlabel('x')
plt.ylabel('y')
plt.title('Direction Field')
plt.grid(True)
plt.show()
This code will display the direction field for the given differential equation.
To sketch an approximate solution curve passing through specific points, you can integrate the differential equation numerically using numerical integration methods such as Euler's method, Runge-Kutta methods, or solve the equation analytically if possible. Once you have the solution, you can plot it on top of the direction field using Matplotlib to compare it with the given points.
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please help i’ll give brainliest
What is 3/4 of 32
What is 3/8 of 64
What is 3/8 of 32
Answer for 10 points and Brainliest.
PLEASE HELP ME!! I MIGHT FAIL! I WILL GIVE BRAINLIEST TO THE FASTEST CORRECT ANSWER
Answer:
Option B
Step-by-step explanation:
→ Find 2 coordinates through which the line passes through
( -2 , -5 ) and ( 0 , -1 )
→ Work out the gradient
[tex]\frac{-1--5}{0--2} =2[/tex]
→ Write into y = mx + c
y = 2x + c
→ Substitute in the coordinates ( 0 , -1 )
-1 = 0 + c so c = -1
→ Write equation
y = 2x - 1
→ Expand out all the equations and simply to see which gives y = 2x - 1
Option B
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Determine the equation for the quadratic relationship graphed below.
Answer:
Step-by-step explanation:
Answer:
its 3, -6,-1... got 100%
Step-by-step explanation:
Please answer this for me ASAP
Which number is nearest in value to 7508.
A. 5,706
B. 6,993
C. 8,108
D. 8,522
E. 1,050
Step-by-step explanation:
Let's find the difference between 7508 and the other numbers.
A. 5706 - 7508 = -1802
B. 6993 - 7508 = -515
C. 8108 - 7508 = 600
D. 8522 - 7508 = 1014
E. 1050 - 7508 = -6458
If we do not take +ve / -ve into account,
the closest number to 7508 = the smallest difference
which in this case, is B, 6993.
Answer:
B. 6993
Step-by-step explanation:
hope this helps :)
I need help what is 5/3+(-7/6)
Answer:
your answer is 1/2 hope this helped have a good day :3
Step-by-step explanation:
Answer:
1/2 or 0.5
Step-by-step explanation:
5/3 + (- 7/6) = 5/3 - 7/6
Solve for X
can you show me how to do this problem.
Answer:
-4
Step-by-step explanation:
First you add together 75 + 65 to get 140 then you subtract that from 180 because 180° is the total of a triangle. Then you add -4 to 44 to get 40
Answer:
-4
Step-by-step explanation:
75 + 65 = 140
triangle angels equal 180°
then x +44 = 180-140
x +44 = 40
x = 40-44
x = -4