There are several factors to consider when determining whether samples are independent or not, such as the method of sampling, the characteristics of the participants, and the study design.
Based on the information provided, here are some possible answers:
A sample of school-aged children tested twice before and after an intervention: In this case, the samples are not independent, because the same children are tested twice, and the second measurement may be influenced by the first one (e.g. if they learn from their mistakes).
Therefore, there is a potential for carry-over effects or repeated measures. To address this, the study may use a crossover design, counterbalancing, or a washout period between the measurements.
Two groups of ASU students were surveyed, one from the Phoenix campus and one from the Tempe campus: In this case, the samples are independent, because they are drawn from two different populations (i.e., students from different campuses).
Therefore, there is no overlap or dependence between the groups, and each group can be treated as a separate sample. However, the study may need to control for other factors that could affect the results (e.g., age, gender, major).
A sample of 100 women was randomly divided into two groups, one for the control and one for the experimental group: In this case, the samples are independent, because they are randomly assigned to different groups. Therefore, there is no systematic bias or confounding variable that would affect the assignment or the outcome.
However, the study may need to ensure that the randomization process is truly random and that the groups are comparable in terms of baseline characteristics.
Multiple pairs of identical and fraternal twins both enrolled in the study are each separated into two groups: In this case, the samples are not independent, because the twins are related to each other (either genetically or environmentally).
Therefore, there is a potential for shared variance or clustering effects within each pair, and the independence assumption may not hold. To address this, the study may use a matched-pairs design, a cluster-randomized design, or a multilevel model that accounts for the nesting of the twins.
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Jennifer earns $7.60 per hour working after school. She wants to buy a musical instrument and she needs at least $500. Write an inequality that describes how many hours she must work to buy the instrument.
Answer:
Step-by-step explanation:
let h be the number of hours.
7.60 h≥ 500
76h≥5000
f(x)= 3x^2-x+4 Find f(2)
Answer:
\(f(2) = 3( {2}^{2} ) - 2 + 4 = 14\)
Determine what type of statistical inference should be used to answer each of the questions below. (You will only use each response one time.)
Answer choices are: Two dependent means, proportions from dependent samples, two independent means, one proportion, one mean, means from dependent samples
1. You want to estimate the typical salary for women working in the nursing field.
2. You want to estimate the proportion of nurses that quit after working for only one year.
3. You want to estimate the difference in the number of men and women that quit the nursing field after only one year.
4. You want to estimate the difference in the salaries of men and women working in the nursing field.
5. The same one hundred people were asked in 2000 and in 2006 how much they had spent on medical bills. Has there been in increase in medical cost?
6. The same one hundred people were asked in the year 2000 and again in the year 2006 if they trusted their local hospitals. Has there been a change in people's trust?
1. One mean 2. One proportion 3. Proportions from dependent samples 4. Two independent means 5. Means from dependent samples 6. Proportions from dependent samples
1. You want to estimate the typical salary for women working in the nursing field.
Answer: One mean
2. You want to estimate the proportion of nurses that quit after working for only one year.
Answer: One proportion
3. You want to estimate the difference in the number of men and women that quit the nursing field after only one year.
Answer: Two independent means
4. You want to estimate the difference in the salaries of men and women working in the nursing field.
Answer: Two independent means
5. The same one hundred people were asked in 2000 and in 2006 how much they had spent on medical bills. Has there been an increase in medical cost?
Answer: Means from dependent samples
6. The same one hundred people were asked in the year 2000 and again in the year 2006 if they trusted their local hospitals. Has there been a change in people's trust?
Answer: Proportions from dependent samples
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16.2-3. cars arrive at a tollbooth at a mean rate of five cars every ten minutes according to a poison process. find the probability that the toll collector will have to wait longer than 26.30 minutes before collecting the eighth toll.
Therefore, the probability that the toll collector will have to wait longer than 26.30 minutes before collecting the eighth toll is approximately 0.038.
Since the arrival of cars at a tollbooth follows a Poisson process with a rate of 5 cars every 10 minutes, the time between arrivals of cars follows an exponential distribution with a mean of 2 minutes (10 minutes / 5 cars). Let X be the time between arrivals of cars. Then, X ~ Exp(1/2) since the mean of an exponential distribution is equal to the reciprocal of the rate.
To find the probability that the toll collector will have to wait longer than 26.30 minutes before collecting the eighth toll, we need to find the probability that the sum of the waiting times for the first seven cars is less than 26.30 minutes and the waiting time for the eighth car is greater than the remaining time.
Let Y be the waiting time for the eighth car. Then, Y ~ Exp(1/2) since the waiting time for each car is independent and identically distributed. Therefore, the probability that the toll collector will have to wait longer than 26.30 minutes before collecting the eighth toll can be calculated as follows:
P(Y > 26.30 - T), where T is the sum of waiting times for the first seven cars.
Since the waiting times for each car are independent, the sum of the waiting times for the first seven cars follows a gamma distribution with parameters k = 7 and θ = 1/2. Therefore, we have:
T ~ Gamma(7, 1/2)
Now, we can calculate the desired probability as follows:
\(P(Y > 26.30 - T) = ∫∫\int\limits^a_b { (e^(-t/2) * (1/2)^{7})/6! } \, dx\)
= 0.038
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(−2 3/2)^2
KHAN ACADEMY (EXPONENTS WITH NEGATIVE FRACTIONAL BASE)
The values of the given expression having exponent with negative fractional base i.e. \(-2^{(3/2)^2}\\\) is evaluated out to be 16/9.
First, we need to simplify the expression inside the parentheses using the rule that says "exponents with negative fractional base can be rewritten as a fraction with positive numerator."
\(-2^{(3/2)^2}\) = (-2)² × (2/3)²
Now, we can simplify the expression further by solving the exponent of (-2)² and (2/3)²:
(-2)² × (2/3)² = 4 × 4/9 = 16/9
Therefore, the value of the given expression \(-2^{(3/2)^2}\\\) is 16/9.
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The question is :
What is the value of the expression \(-2^{(3/2)^2}\) ?
What is the best number?: Five million, three hundred eighteen thousand and eight or 73 because it is a binary ____?____?Select one:a. 73 because it is a binary palindromeb. Five million, three hundred eighteen thousand and eight because it is a binary palindromec. All of the aboved. None of the above
The binary representation of 5,318,008 is 10100010010010101111000, whereas the binary representation of 73 is 1001001.
We notice that 73 is a binary palindrome while 5,318,008 is not, therefore we conclude that the best number is 73 and the answer is a.
what is 25.15/179.30 simplified as a fraction please help i suck at math
ill mark you brainliest
Answer:
503
------
3586
Step-by-step explanation:
that's as small as I can get it
which method represents a correct way to solve the equation 2(t−5)=48?
The solution to the equation 2(t - 5) = 48 is t = 29.
To solve the equation 2(t - 5) = 48, we can use the following steps:
Distribute the 2 to the terms inside the parentheses:
2t - 10 = 48
Add 10 to both sides of the equation to isolate the variable term:
2t = 58
Divide both sides of the equation by 2 to solve for t:
t = 29
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Hi, can someone please help its urgent
Step-by-step explanation:
\(f( -6 ) = 4( { - 6})^{2} - \sqrt{ - 6( - 6)} \\ = 4(36) - \sqrt{36} \\ = 144 - 6 \\ f( - 6) = 138\)
HOPE THIS HELPS
Option A is the solution
Using the .01 level of significance means that, in the long run, 1) a Type I error occurs 1 time in 100. O2) a Type I error occurs 1 time in 20. 3) a Type II error occurs 1 time in 20. 4) a Type II error occurs 1 time in 100.
Using the .01 level of significance means that, in the long run, a Type I error occurs 1 time in 100. This means that if we perform a statistical test 100 times, and we set the level of significance at .01, then we can expect to observe one false positive result due to chance alone. So, the correct option is 1).
A Type I error occurs when we reject a true null hypothesis, or when we conclude that there is a significant difference or relationship between two variables when in fact there is not.
By setting the level of significance at .01, we are minimizing the risk of making a Type I error while increasing the risk of making a Type II error, which occurs when we fail to reject a false null hypothesis. So, the correct answer is 1).
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can somebody help me
When Brittany spins the spinner, there is a 20% chance that it will land on red, a 15% chance that it will land on blue, a 25% chance that it will land on yellow, and a 40% chance that it will land on purple. On which color is the spinner least likely to land?
Answer:
Blue
Step-by-step explanation:
Because it has the lowest likelihood, with only a 15% chance.
in a batch of 100 cell phones, there are, on average, 6 defective ones. if a random sample of 25 is selected, find the probability of 4 defective ones
The probability of 4 defective cell phones in a sample of 25 can be found using the binomial probability formula and is equal to 0.0263.
What is probability?Probability is a branch of mathematics that deals with calculating the likelihood of a given event occurring. In probability, we calculate the number of ways an event can happen and divide it by the total number of possible outcomes.
Probability ranges from 0 to 1, with 0 indicating no chance of occurrence and 1 indicating that the event will definitely occur.
What is the binomial probability formula?If there are only two possible outcomes in a given event, the binomial probability formula is used to calculate the probability of the event happening.
The binomial probability formula is given by: P(X = x) = (nCx)px(1 - p)n - x
Where, P(X = x) is the probability of x successes in n trials
nCx is the number of ways x successes can occur in n trials
px is the probability of a single success in a given trial(1 - p)n - x is the probability of the remaining trials being failures.
How to solve the problem?The probability of 4 defective cell phones in a sample of 25 can be calculated using the binomial probability formula.
P(X = 4) = (25C4)(0.06)4(0.94)21 = 0.0263.
Therefore, the probability of 4 defective cell phones in a sample of 25 is 0.0263.
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The cost of a burger is $4.50. The cost of a soda is $.75. Greg wants to treat some friends to lunch. If he has $40, how many people can he buy lunch for? Use “let” statements and inequalities in your answer.
He can invite 7 friends.Because he had $40. He will spent for each person $5.25.
What is inequality?In mathematics, a relationship between two expression that are not equal to each other is called inequality.The word inequality mean not being equal ,especially in status, rights and opportunities.
What is statement?A statement is a declarative statement that is true or false but both not.A statement is also called proposition.It may contain symbols and words.
he has total money = $40
cost of burger =$4.50
cost of soda =$0.75
Let, he will spend for each person
4.50+0.75=$5.25
so, he can invite=40/5.25
=7.619
he can invite 7 friends.
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PLEASE HELP ME NOW HURRY PLEASE HELP ME IM BEGGING DONT SKIP PLEASE HURRY
Answer:
y = 17x
Step-by-step explanation:
Does a rhombus have perpendicular line segments
Answer:
A rhombus is a geometric figure that lies in a plane. It is defined as a quadrilateral all of whose sides are congruent. It is a special type of parallelogram, and its properties (aside from those properties of parallelograms) include:
Its diagonals divide the figure into 4 congruent triangles.
Its diagonals are perpendicular bisectors of eachother.
If all of a rhombus' angles are right angles, then the rhombus is a square.
Answer:yes it does have perpendicular lines
Step-by-step explanation:
find the volume of the region contained in the cylinder x 2 y 2 = 9, bounded above by the plane z = x and below by the xy-plane.
the volume of the region contained in the cylinder x² + y² = 9, bounded above by the plane z = x and below by the xy-plane is 0.
Given: The cylinder is x² + y² = 9, bounded above by the plane z = x and below by the xy-planeWe know that, the cylinder is x² + y² = 9Which is (x/a)² + (y/b)² = 1Where a = 3 and b = 3The plane is z = xThe region is bounded below by the xy-plane Thus, the volume of the region can be found by integrating z = x with limits of x² + y² ≤ 9.So, V = ∭ dx dy dz where the limits are given by the cylinder and the plane.V = ∫∫∫ (x) dV ... (1)Now, converting the integral into cylindrical coordinates we have,∫∫∫ (x) dV = ∫θ = 0 to 2π ∫r = 0 to 3 ∫z = 0 to r cos θ (r cos θ) rdzdrdθ ... (2)x = r cos θ, y = r sin θ, and z = z.We know that the limits of x² + y² ≤ 9 in cylindrical coordinates are 0 ≤ θ ≤ 2π, 0 ≤ r ≤ 3, 0 ≤ z ≤ r cos θ.Using (2) in (1), we haveV = ∫θ = 0 to 2π ∫r = 0 to 3 ∫z = 0 to r cos θ (r cos θ) rdzdrdθ= ∫θ = 0 to 2π ∫r = 0 to 3 [r² cos θ / 2] dr dθ= ∫θ = 0 to 2π [ 9 cos θ / 2 ] dθ= 9 [ sin θ ]θ = 0 to 2π= 0Thus, the volume of the region contained in the cylinder x² + y² = 9, bounded above by the plane z = x and below by the xy-plane is 0.
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margin of error of 1 percentage and use a confidence level of 90%.
The sample size needed for a margin of error of 1%, for a confidence level of 90%, is of:
6,766.
What is a confidence interval of proportions?A confidence interval of proportions has the bounds given by the rule presented as follows:
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which the variables used to calculated these bounds are listed as follows:
\(\pi\) is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.The margin of error of the interval is defined as follows:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
The confidence level is of 90%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.90}{2} = 0.95\), so the critical value is z = 1.645.
We have no prior estimate, hence the proportion is given as follows:
\(\pi = 0.5\)
For a margin of error of M = 0.01, the needed sample size n is obtained as follows:
\(0.01 = 1.645\sqrt{\frac{0.5(0.5)}{n}}\)
\(0.01\sqrt{n} = 1.645 \times 0.5\)
\(\sqrt{n} = \frac{1.645 \times 0.5}{0.01}\)
\((\sqrt{n})^2 = \left(\frac{1.645 \times 0.5}{0.01}\right)^2\)
n = 6,766.
(rounding up, as for a sample size of 6,765 the margin of error would be slightly above 0.01).
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trigonometric ratios find a side length calculator
There are a few online calculators available that allow you to find the side length of a triangle using trigonometric ratios.
One example is The Calculator Site, which provides step-by-step instructions on how to use the calculator. By providing the known values of two angles and one side, the calculator can determine the length of the remaining side.
The Calculator Site provides a calculator which can be used to find the side length of a triangle using trigonometric ratios. The calculator requires the user to provide the known values of two angles and one side, after which it will calculate the length of the remaining side.
There are a few online calculators available that allow you to find the side length of a triangle using trigonometric ratios.
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Mr. Smith recorded how many students were wearing white chiefs and how many were wearing non-white shirts. He put the data into a two- way frequency table.
What is the probability that a randomly selected will wear a non-white shirt??
A. 11/16
B. 8/28
C. 12/28
D. 19/28
Answer:
D
Step-by-step explanation:
The total is 28, and the non white shirts are 19
Answer:
D. 19/28
Step-by-step explanation:
He is selecting a random student from the total number of all 28, so that's our denominator. It doesn't specify boy or girl, so it could be either. The total number of students wearing non-white shirts is 19. 19/28
What is 0.29 as a fraction in simplest form ?
Answer:
Step-by-step explanation:
0.29 as a fraction is 29/100. Anytime you have a decimal, just turn it into a whole number and simplify it. However, 29/100 is already in its simplest form.
What is the answer to this problem? Abby had $6.00 to spend on a treat with his 3 friends. If he spends the same amount on his 3 friends, what is his maximum amount of money he can spend on each person?
Answer:
$2.00
Step-by-step explanation:
Abby had $6.00 to spend on a treat with his 3 friends.
We are told in the question that: If he spends the same amount on his 3 friends
Hence: the maximum amount of money he can spend on each person is calculated as:
$6.00/3 friends
= $2.00
Therefore, the maximum amount of money that he can spend on each friend is $2.00
Evaluate the expression when r = 10.
16 - r - 3
Answer:
The answer is 3
Step-by-step explanation:
Because 16 - 10 is 6. Then you minus 3 which is then 3 brainliset pls
Answer: 3
Step-by-step explanation:
r=10
16-(10)-3
=6-3
=3
Identify the type of data (qualitative/quantitative) and the level of measurement for the eye color of respondents in a survey. explain your choice.
The eye color of respondents in a survey is qualitative data at the nominal level of measurement.
The eye color of respondents in a survey can be categorized as qualitative data because it represents a characteristic or attribute rather than a numerical quantity. Qualitative data is descriptive and categorical.
In terms of the level of measurement, the eye color variable can be classified as nominal level data. Nominal data is the lowest level of measurement and simply categorizes observations into different groups without any inherent order or magnitude. In this case, eye colors such as blue, brown, green, hazel, etc. are non-numeric categories without any implied ranking or quantitative relationship.
Nominal data is characterized by the fact that you cannot perform mathematical operations on the categories, and there is no meaningful measure of central tendency or dispersion. Eye color falls into this category since you cannot meaningfully calculate averages or quantify differences between eye colors using mathematical operations.
To summarize, the eye color of respondents in a survey is qualitative data at the nominal level of measurement.
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Hi, can someone help me pretty please?
What happens to a figure that is dilated by a factor of 13
Answer: it gets smaller, 13 times smaller
Step-by-step explanation:
Size of the figure/13
The perimeter of a rectangular living room is 38 meters. The living room is 9 meters wide how long is it
If the perimeter of a rectangular living room is 38 meters, the length of the living room is 105 meters.
The perimeter of a rectangle is the sum of the lengths of all its sides. Let's denote the length of the living room as "L". The formula for the perimeter of a rectangle is:
Perimeter = 2(length + width)
We know that the width of the living room is 9 meters, and the perimeter is 38 meters. Substituting these values in the formula, we get:
38 = 2(L + 9)
Dividing both sides by 2, we get:
19 = L + 9
Subtracting 9 from both sides, we get:
L = 105
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Which of the ordered pairs below is a solution to the system of inequalities?
The ordered pair which is a solution to the system of inequalities is: (-1, 0).
How to determine the solution?In order to determine which ordered pairs are true solutions based on the given system of inequalities, we would have to test each of the ordered pairs by substituting their values into the system of inequalities as follows;
For ordered pair (4, 3), we have:
-7x + 3y > -1
-7(4) + 3(3) > -1
-28 + 9 > -1
-19 > -1 (False).
For ordered pair (2, 8), we have:
-7x + 3y > -1
-7(2) + 3(8) > -1
-14 + 24 > -1
10 > -1 (True).
5x - 9y > -6
5(2) - 9(8) > -6
10 - 72 > -6
-62 > -6 (False).
For ordered pair (-1, 0), we have:
-7x + 3y > -1
-7(-1) + 3(0) > -1
7 + 0 > -1
7 > -1 (True).
5x - 9y > -6
5(-1) - 9(0) > -6
-5 - 0 > -6
-5 > -6 (True).
For ordered pair (-2, 2), we have:
-7x + 3y > -1
-7(-2) + 3(2) > -1
14 + 6 > -1
20 > -1 (True).
5x - 9y > -6
5(-2) - 9(2) > -6
-10 - 18 > -6
-28 > -6 (False).
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Calculate the average change in the inflation rate the past five years including 2021 rounded to two decimal places
We calculate the sum of these changes: 0.7% + (current year's change) + (current year's change) + (current year's change).= 0.25%. ( fictional )
To calculate the average change in the inflation rate, we require the inflation rates for each of the five years, including 2021. Let's assume the inflation rates for the five years are: 2.5%, 3.2%, 2.8%, 4.1%, and 3.9%.
To find the change in inflation rate for each consecutive year, we subtract the inflation rate of the previous year from the inflation rate of the current year. For example, the change in inflation rate from 2020 to 2021 would be 3.2% - 2.5% = 0.7%.
Next, we calculate the sum of these changes: 0.7% + (current year's change) + (current year's change) + (current year's change).
Finally, we divide the sum by the number of years (five in this case) to find the average change in the inflation rate over the five-year period. After rounding the result to two decimal places, we will have the desired average change in the inflation rate.
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find a function f such that f '(x) = 3x^3 and the line 81x + y = 0 is tangent to the graph of f.
A function f such that f '(x) = 3x^3 and the line 81x + y = 0 is tangent to the graph of f is f(x) = 3x^4/4 + 729/4.
In the given question, we have to find a function f such that f'(x) = 3x^3 and the line 81x + y = 0 is tangent to the graph of f.
The given function is f'(x) = 3x^3.
No integrating on both side,
f(x) = \(\int3x^3dx\) + C
f(x) = 3x^4/4 + C
As given, the line 81x + y = 0 is tangent to the graph of f.
So, slope at point of tangent; f'(x) = -81
So, 3x^3 = -81
Divide by 3 on both side, we get
x^3 = -27
Taking cube root on both side, we get
x = -3
So putting the value of x in 81x + y = 0, we get
y = 243
Thus, f(x) passes through (-3, 243).
So, 243 = 3/4(81) + C
Multiply by 4 on both side, we get
972 = 243 + 4C
Subtract 243 on both side, we get
4C = 729
Divide by 4 on both side, we get
C = 729/4
So, f(x) = 3x^4/4 + 729/4
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