if the assumptions for normality and equality of variances are badly violated, which type of statistics should you use to test your hypothesis?

Answers

Answer 1

If the assumptions for normality and equality of variances are badly violated, nonparametric statistics should be used to test the hypothesis.

In hypothesis testing, it is important to consider the assumptions underlying the statistical tests.

Two common assumptions are normality and equality of variances.

Normality assumes that the data follow a normal distribution, while equality of variances assumes that the variability of the groups being compared is similar.

When these assumptions are badly violated, meaning the data deviate significantly from normality or the variances are highly unequal, parametric tests that rely on these assumptions may not be appropriate.

In such cases, nonparametric statistics provide an alternative approach.

Nonparametric tests do not require the assumption of a specific distribution or equal variances.

These tests are based on ranks or orderings of the data rather than the actual numerical values. They are more robust to violations of the assumptions and can be used to analyze data that are not normally distributed or have unequal variances.

Examples of nonparametric tests include the Mann-Whitney U test for comparing two independent groups, the Kruskal-Wallis test for comparing multiple independent groups, and the Wilcoxon signed-rank test for paired samples.

By using nonparametric tests in situations where the assumptions for normality and equality of variances are badly violated, researchers can still make valid statistical inferences without relying on these assumptions.

However, it is important to note that nonparametric tests may have less statistical power compared to their parametric counterparts when the assumptions are met.

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Related Questions


Solve each system by elimination.
5x - 2y = -19 , 2x + 3y = 0

Answers

By elimination, the solution of the system of equations, 5x - 2y = -19 and 2x + 3y = 0, is (-3 , 2).

A system of equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy all the equations.

There are three methods that can be used to solve system of equations.

1. Elimination

2. Substitution

3. Graphing

Using the elimination method, given two equations in x and y, a variable should be eliminated by adding/subtracting the two equations.

First, multiply the first equation by 3 and the second equation by 2.

5x - 2y = -19 ⇒ 15x - 6y = -57     (equation 1)

2x + 3y = 0 ⇒ 4x + 6y = 0     (equation 2)

Adding the two equations will eliminate the variable y.

15x - 6y = -57     (equation 1)

4x + 6y = 0     (equation 2)

19x        = -57

x = -3

Substitute the value of x to any of the two equation and solve for y.

2x + 3y = 0     (equation 2)

2(-3) + 3y = 0

3y = 6

y = 2

Hence, the solution of the system of equations is (-3 , 2).

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Solve each system by elimination. 5x - 2y = -19 , 2x + 3y = 0

Help me, correct answers appreciated ​

Help me, correct answers appreciated

Answers

Answer:

No

Step-by-step explanation:

-6 is X

-10 is Y

-10 is smaller than - 8

Answer is -6
-10 is smaller than -8
-6 is greater than -8
So therefore -6 is the answer

5x + 10 = 7x + 18
Answer answer answer answer answer

Answers

Answer:

My answer would most likely be x = -4.

Answer:

x = -4

Step-by-step explanation:

Please help‼️ domain and range‼️

Please help domain and range

Answers

The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively

Calculating the domain and range of the graph?

From the question, we have the following parameters that can be used in our computation:

The graph

The above graph is an exponential function

The rule of an function is that

The domain is the set of all real values

In this case, the domain is (-∝, ∝)

For the range, we have

Range = (0, ∝)

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The average age of undergraduate students at grand canyon university is 44. if the standard deviation is 4, what percentage of undergraduate students are between 36 and 52 years old?

Answers

75% is percentage of undergraduate students are between 36 and 52 years old.

What is percentage and example?

A percentage is a ratio or fraction where the full value is always 100. For example, if Sam received 30% marks in his math test, it signifies that he scored 30 marks out of 100. In ratio form, it is expressed as 30:100 and in fraction form as 30/100.The percentage is used to determine “how much” or “how many.” A percentage number aids in calculating the exact amount or figure that is being discussed. Fractions are compared.

This would be true if k=3, but k=2

because (36-44)/4 = -2 and (52-44)/4 = 2

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Will give Brainlies!!!
What is the y=mx+b of the equation 3x−2y=12

Answers

Answer:

y=3/2x-6

Step-by-step explanation:

To find the y=mx+b you need to move the y on one side while moving the others on the other side

First, move the 3x to the other side by subtracting by 3x on both sides:

-2y=-3x+12

Divide by -2 on both sides:

y=3/2x-6

Answer:

y=3/2x-6

Step-by-step explanation:

3x-2y=12

isolate the y:

-2y=-3x+12

get rid of the coefficient in front of y by dividing by -2

y=-3/-2x+12/-2

y=3/2x-6

T/F : An annuity due must have a present value at least as large as an equivalent ordinary annuity.

Answers

True. An annuity due is a series of equal payments made at the beginning of each period, while an ordinary annuity is a series of equal payments made at the end of each period.

Because payments made at the beginning of each period earn interest for one additional period, annuity due payments are worth more than equivalent ordinary annuity payments. This means that the present value of an annuity due must be larger than the present value of an equivalent ordinary annuity, assuming the same interest rate and number of payments.

Therefore, if we compare two annuities with the same payment amount, interest rate, and number of payments, the annuity due will always have a larger present value than the ordinary annuity. It is important to understand the difference between these two types of annuities as it can impact the amount of money you receive or need to save for your retirement.

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number that you add to -4 to give answer of 9​

Answers

The number you need to add to -4 to get an answer of 9 is 13.

We can write this mathematically as:

-4 + x = 9

where x is the unknown number we need to find.

To solve for x, we can add 4 to both sides of the equation:

-4 + 4 + x = 9 + 4

Simplifying the left-hand side, we get:

x = 13

So the number we need to add to -4 to get 9 is 13.

solve the inequality -48 < -8t

Answers

Answer:

t < 6

Step-by-step explanation:

Given

- 48 < - 8t

Divide both sides by - 8, reversing the symbol as a result of dividing by a negative quantity.

6 > t , that is

t < 6

please answer by 10 pm​

please answer by 10 pm

Answers

Answer:

1/2n + 3

One half times a number

Step-by-step explanation:

According to Weber's law, two items must differ in weight by ______ percent of weight in order to detect a difference.
A. 5%
B. 10%
C. 20%
D. 50%

Answers

According to Weber's law, two items must differ in weight by "5 percent"of weight in order to detect a difference.

We are given that Weber's law

For weight discrimination, Weber’s law states that the JND is proportional to the weight of the stimulus.

The JND is defined as the smallest difference between two weights that can be detected by an observer.

The proportionality constant is known as Weber’s fraction and varies depending on the type of stimulus and the sensory modality involved.

For weight discrimination, Weber’s fraction is typically around 2-3%.

This means that two items must differ in weight by approximately 2-3% of their weight in order to detect a difference.

The difference of weight in percent is 5%, the correct option is A.

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A movie theater is giving away a souvenir poster to any customer with a concession stand receipt that exceeds 560. The theater
sells a bag of popcorn for $6 and bottle of soda for $3.50. Let x represent the number of bags of popcorn, and let y represent the
number of bottles of soda. Which Inear inequality can be used to find the quantities of popcorn and soda that should be purchased
to receive a poster?

Answers

5.60+3.50=45 so it would be not today

We get statistics of 2017-2018 Average Starting Teacher Salaries by State measured by NEA. Given that the salary of Colorado is 33483, the sample size is 4,900 and the standard deviation is 602.694. a. What is the margin of error for a 95% confidence interval in Colorado

Answers

To calculate the margin of error for a 95% confidence interval in Colorado, we first need to determine the critical value for a two-tailed test at a 95% confidence level. Using a standard normal distribution table, we find that the critical value is 1.96.

1. Identify the given values:
  - Average salary (µ) = 33,483
  - Sample size (n) = 4,900
  - Standard deviation (σ) = 602.694

2. Determine the critical value (z-score) for a 95% confidence interval. Using a z-table or calculator, the z-score is approximately 1.96.

3. Calculate the standard error (SE):
  SE = σ / √n
  SE = 602.694 / √4,900
  SE ≈ 8.652

4. Calculate the margin of error (ME):
  ME = z-score * SE
  ME = 1.96 * 8.652
  ME ≈ 16.96

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Every day, Jackie practices basketball and guitar. Each day,
she practices basketball for 1.5 hours. If after 6 days she
practiced both basketball and guitar for a total of 21
hours, how many hours per day did Jackie practice guitar?

Answers

i think the answer is 8. not completely sure tho

A pregnant woman with a past history of a cesarean section is at GREATEST risk for: Group of answer choices breech birth. preeclampsia. uterine rupture. prolapsed cord.

Answers

A pregnant woman with a past history of a cesarean section is at the greatest risk for uterine rupture.

Uterine rupture refers to a tear or separation of the uterine wall, which can be a life-threatening complication during pregnancy or labor. Women who have had a previous cesarean section are at an increased risk of uterine rupture compared to those who have not undergone the procedure. This is because the scar tissue from the previous incision can weaken the uterine wall, making it more susceptible to rupture during subsequent pregnancies. The risk of uterine rupture is highest during labor, especially if the woman attempts a vaginal birth after cesarean (VBAC). The pressure and contractions of labor can place stress on the scarred area, increasing the chances of a uterine tear. Uterine rupture can lead to severe bleeding, fetal distress, and other complications that may require emergency medical intervention, including a cesarean delivery. It is important for pregnant women with a history of cesarean section to work closely with their healthcare providers to assess the risks and make informed decisions about their mode of delivery. This may involve considering the individual's specific circumstances, such as the type of uterine incision from the previous cesarean and any additional factors that may increase the risk of uterine rupture.

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Paula bought a ski jacket on sale for $8 less than half its original price. She paid $84 for the jacket. What was the original price?

Answers

The original price of the ski jacket is $184.

What is price?

The sum of money paid or the amount of compensation offered by one party to another in exchange for goods or services is known as a price. The cost of production can take on different names depending on the circumstance. If the item is a "good" in a commercial transaction, the cost of the item will probably be referred to as its "price".

Given:

Paula bought a ski jacket on sale for $8 less than half its original price.

She paid $84 for the jacket.

We have to find the original price of the ski jacket.

Let

The original price = x

The amount she bought it = x/2 - 8

She paid $84 for the jacket

Therefore,

84 = x/2 - 8

Add 8 on both sides,

84 + 8 = x/2 - 8 + 8

92 = x/2

x = 184

Hence, the original price of the ski jacket is $184.

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Sketch the region enclosed by y
= 5 x and y = 6 x 2 . Find the area of the region.
Question 1 Sketch the region enclosed by y = 5x and y = 6x². Find the area of the region.

Answers

The area of the region is 25/36 sq. units.

Here is the solution to your question:

We are given two equations as follows: y = 5x (Equation 1)y = 6x² (Equation 2)

To find the region enclosed by these two equations we need to find the points of intersection of these two lines.

To find the points of intersection, we need to equate both the equations 1 and 2 as follows:5x = 6x²

On simplification, we get: \(6x² - 5x = 0x(6x - 5\)) = 0

Therefore, the solutions for the above equation are:

x = 0 and x = 5/6

Substitute the above values of x in either equation (1) or (2),

we get the values of y as follows: When x = 0, y = 0

When x = 5/6, y = 25/6

Now, plot the points (0,0) and (5/6, 25/6) on the graph paper. Join the points with the straight line.

Then, draw the line y = 6x². The region enclosed by the two curves is a parabolic region. The region is as shown in the figure below:

Solution to Part (b)

To find the area of the region, we need to integrate the function obtained by subtracting the equation (1) from equation (2) as follows:

A = ∫(y2 - y1) dx where y2 = 6x² and y1 = 5x, and limits of integration are from 0 to 5/6.

Then, A = ∫(6x² - 5x) dx limits of integration are from 0 to 5/6.A = [(2x³) - (5/2)x²]limits of integration are from 0 to 5/6.

A = (2(5/6)³ - 5/2(5/6)²) - (2(0)³ - 5/2(0)²)

A = 25/36 sq. units

Therefore, the area of the region is 25/36 sq. units.

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Identify the factors of
x2 – 5x – 24. (6 points)
O (X + 8)(x - 3
O (x - 3)(x + 3)
O (x + 4)(x - 6)
O (X - 4)(x + 6)

Answers

\(\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}\)

Ur answer is

(x+8)(x-3)

thankshope it helps

(30)(-30) ANSWER QUICK IM DOING A WORKSHEET IN CLASS

Answers

Answer:

-900

Step-by-step explanation:

plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz helppppppppppppppppppppp

plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz helppppppppppppppppppppp

Answers

Answers:

1.) B : 4 + 5 + 6 = 6 + 4 + 5 ; Commutative of Addition is changing the order of the numbers, does not change the sum.
2.) I : a(0) = 0 ; Multiplicative of Zero is the product of any number is equal to 0.
3.) D : 2(1/3) = 1 ; Multiplicative inverse is when you multiply a number to get 1.
4.) F : (a)(d) = (d)(a) ; Commutative of Multiplication is when the numbers move around but the answer is still the same.
5.) C : (8 + 2) + 4 = 8 + (2 + 4) ; Associative of Addition is the sum of numbers that are the same regardless of how the numbers are grouped.
6.) E : 8(1) = 8 ; Multiplicative Identity is 1, because when multiplying a number by 1 leaves it unchanged.
7.) G : 42 - 6a = 6(7 - a) ; Distributive Property is either divided something up or give a share or part of something but the answer still remains the same on both sides.
8.) A : a + 0 = a ; Additive Identity is 0, because adding 0 to a number does not change it.

Malcolm says that because 8/11>7/10 Discuss Malcolm's reasoning. Even though it is true that 8/11>7/10 is Malcolm's reasoning correct? If Malcolm's reasoning is correct, clearly explain why. If Malcolm's reasoning is not correct, give Malcolm two examples that show why not.

Answers

Malcolm's reasoning is correct because when comparing 8/11 and 7/10 using cross-multiplication, we find that 8/11 is indeed greater than 7/10.

Malcolm's reasoning is correct. To compare fractions, we can cross-multiply and compare the products. In this case, when we cross-multiply 8/11 and 7/10, we get 80/110 and 77/110, respectively. Since 80/110 is greater than 77/110, we can conclude that 8/11 is indeed greater than 7/10.

Two examples that further illustrate this are:

Consider the fractions 2/3 and 1/2. Cross-multiplying, we get 4/6 and 3/6. Since 4/6 is greater than 3/6, we can conclude that 2/3 is greater than 1/2.Similarly, consider the fractions 5/8 and 2/3. Cross-multiplying, we get 15/24 and 16/24. In this case, 15/24 is less than 16/24, indicating that 5/8 is less than 2/3.

These examples demonstrate that cross-multiplication can be used to compare fractions, supporting Malcolm's reasoning that 8/11 is greater than 7/10.

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1. Find the length of each side of the triangle if its perimeter is 86cm the sides are. 3a-2, 5a+3, 6a+1​

Answers

Hello,

3a - 2 + 5a + 3 + 6a + 1 = 86

14a + 2 = 86

14a = 86 - 2

14a = 84

a = 84/14

a = 6

lengths :

3a - 2 = 3 × 6 - 2 = 18 - 2 = 16 cm

5a + 3 = 5 × 6 + 3 = 30 + 3 = 33 cm

6a + 1 = 6 × 6 + 1 = 36 + 1 = 37 cm

the average of 8 girls is 15 and the average of 6 girls is 13 find the average of the other two girls with equal age​

Answers

Answer:

21

Step-by-step explanation:

Since the girls have the same age, let their age be x.
Then, their average is

\(\frac{x+x}{2} = \frac{2x}{2} = x\)

Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)

Also, we have,

\(\frac{S_{8}}{8} =15 - eq(2)\)

\(\frac{S_{6}}{6} =13 - eq(3)\)

Then eq(2):

(from eq(1) and eq(3))

\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)

The average of the other two girls with equal age​ is 21

(3) need help plz Asap

(3) need help plz Asap

Answers

Answer:

brainlist plzz

Step-by-step explanation:

D....................................

You are the marketing manager for Coffee Junction. The revenue for the company is given by R(x)=− 32x 3+6x 2+18x+4 where R(x) is revenue in thousands of dollars and x is the amount spent each month on advertisement, in thousands of dollars. 0≤x≤25 a) At what level of advertising spending does diminishing returns start? Explain What this diminishing returns means for this company. b) How much revenue will the company earn at that level of advertising spending? c) What does 0≤x≤25 tell us with respect to this problem?

Answers

a) Diminishing returns start at x = 1,  where the marginal revenue will be less than the marginal cost

b)At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.

c) 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.

a) At what level of advertising spending does diminishing returns start?

Diminishing returns refers to a situation when the marginal return on investment decreases as more resources are devoted to it. For instance, in case of Coffee Junction, increasing the advertising expenditure may lead to higher revenue, but the marginal revenue (revenue generated by each additional dollar spent) will gradually decrease.

b) How much revenue will the company earn at that level of advertising spending?

At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.

c) What does 0≤x≤25 tell us with respect to this problem?

In this problem, 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.

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2 1/4kms = how many meters?

Answers

Answer:

2 1/4kms = how many meters?

2250 meters

Step-by-step explanation:

You're welcome.

Answer:

M = 2250

Step-by-step explanation:

First of all solve the mixed number which is 9/4 and as a decimal it is 2.25

Now as the meters it is....

2250!!!!

Hope this helps, have a great day!!!!!!

(Multiply 2.25 times 1000 and that gives you 2250)

a candle maker plans to make 30 candles

Answers

Answer:

okay and.....?

Step-by-step explanation:

is theyre not to the ? or sum

A rectangular playground has an area of 2646 square meters. If the width of the rectangle is 42 meters, find the length.
The length of the rectangle is 63 meters.
Did I get it right, or no? If not do not give me the answer please!

Answers

Answer:

2646/ 42= 63

Step-by-step explanation:

Yes you got it right

If the b1 value in linear equation is negative, this means the Y intercept is positive. True or False

Answers

False. The statement is incorrect. The sign of the b1 value in a linear equation does not determine the positivity or negativity of the y-intercept.

In a linear equation of the form y = b0 + b1x + e, where b0 is the y-intercept and b1 is the coefficient of the x variable, the sign of the b1 value is related to the slope of the line. A negative b1 value indicates a negative slope, meaning the line is decreasing as x increases. However, it does not provide information about the positivity or negativity of the y-intercept. The y-intercept (b0) represents the value of y when x is equal to zero. Its sign is independent of the b1 value. The y-intercept can be positive, negative, or zero, depending on the specific values of b0 and the relationship between x and y. For example, consider the linear equation y = 2 - 3x. Here, the b1 value is -3, indicating a negative slope. However, the y-intercept is 2, which is positive. This means that when x is zero, the value of y is 2.

Similarly, if we have y = -4 + 2x, the b1 value is positive (2), representing a positive slope. However, the y-intercept is -4, which is negative. In this case, when x is zero, y is -4. Therefore, the sign of the b1 value does not determine the positivity or negativity of the y-intercept. The y-intercept is determined by the specific value of b0 in the linear equation.

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320 is what percent of
200?

Answers

Answer:

160%

Step-by-step explanation:

320 divided by 200, times 100 = 160%

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