Complete Question
The group of 25 victims scored an average of 25.3 with a sample standard deviation of 9 on the depression scale. The group of 23 bully-victims scored an average of 20.5 with a sample standard deviation of 8 on the same scale. You do not have any presupposed assumptions about whether victims or bully-victims will be more depressed, so you formulate the null and alternative hypotheses as:
[tex]H_o: \ \ \mu_{victims} - \mu_{bully-victims} = 0H1: \ \ \mu _{victims} - \mu_{bully-victims} \ne 0[/tex]
You conduct an independent-measures t test. Given your null and alternative hypotheses,
this is a ________ [ Select ] ["two-tailed", "one-tailed"] test.
The degree of freedom is __________ [ Select ] ["46", "48", "24", "22"]
and for an alpha of .01, the critical t is +/- _________ [ Select ] ["2.704", "2.021", "1.684"]
In order to calculate the t statistic, you first need to calculate the standard error under the assumption that the null hypothesis is true. In order to calculate the standard error, you first need to calculate the pooled variance. The pooled variance is ________ [ Select ] ["72.8696", "145", "0.3756", "71.3201"] .
The standard error is ___________ [ Select ] ["2.4664", "2.5572", "1.9543", "72.8712"] .
The t-statistic is _________ [ Select ] ["1.95", "2.55", "-1.70", "-2.25"]
Answer:
First Question
The correct option is "two-tailed"
Second Question
The correct option is "46"
Third Question
The correct option is "2.704"
Fourth Question
The correct option is "72.8696"
Five Question
The correct option is "2.4664"
Sixth Question
The correct option is "1.95"
Step-by-step explanation:
From the question we are told that
The number of victims is [tex]n_1 = 25[/tex]
The sample mean is [tex]\= x_1 = 25.3[/tex]
The standard deviation is [tex]s_1 = 9[/tex]
The number of bully victims is [tex]n_2 = 23[/tex]
The sample mean is [tex]\= x_2 = 20.5[/tex]
The standard deviation is [tex]s_2 = 8[/tex]
Generally this is a two -tailed test because from the null and the alternative hypothesis we see that the test is know whether the mean number of victims is significantly more depressed than bully -victims or significantly less depressed than bully -victims
Generally the degree of freedom is mathematically represented as
[tex]df = n_1 + n_2 -2[/tex]
=> [tex]df = 25 + 23 -2[/tex]
=> [tex]df = 46[/tex]
Generally from t distribution table the critical value of [tex]\alpha = 0.01[/tex] for a two-tailed test at a degree of freedom of [tex]df = 46[/tex] is
[tex]t_{0.01 , 46} = \pm 2.704[/tex]
Generally the pooled variance is mathematically represented as
[tex]s^2 = \frac{(n_1 - 1) s_1^2 + (n_2 - 1)s_2^2}{df}[/tex]
=> [tex]s^2 = \frac{(25 - 1) 9^2 + (23 - 1)8^2}{46}[/tex]
=> [tex]s^2 = 72.8696[/tex]
Generally the standard error is mathematically represented as
[tex]SE = s \sqrt{\frac{1}{n_1} + \frac{1}{n_2} }[/tex]
[tex]SE = \sqrt{s^2} * \sqrt{\frac{1}{n_1} + \frac{1}{n_2} }[/tex]
=> [tex]SE = \sqrt{72.8696} * \sqrt{\frac{1}{25} + \frac{1}{23} }[/tex]
=> [tex]SE = 2.4664[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\= x_ 1 - \= x_2}{SE }[/tex]
=> [tex]t = \frac{25.3 - 20.5}{ 2.4664 }[/tex]
=> [tex]t =1.95[/tex]
To test if bully-victims are more depressed, we have that:
The null hypothesis is [tex]H_0: \mu_B - \mu_{NB} = 0[/tex]The alternative hypothesis is: [tex]\mu_M - \mu_{NB} < 0[/tex]For our test, we consider that:
The mean score of bully victims is given by: [tex]\mu_B[/tex].The mean score of non-bully victims is given by: [tex]\mu_{NB}[/tex]At the null hypothesis, we test that they have the same scores, that is:
[tex]H_0: \mu_B = \mu_{NB}[/tex]
Which can also be written as:
[tex]H_0: \mu_B - \mu_{NB} = 0[/tex]
At the alternative hypothesis, we test if the score of bully victims is less than the score of non-bully victims, that is:
[tex]H_1: \mu_B < \mu_{NB}[/tex]
[tex]H_1: \mu_B - \mu_{NB} < 0[/tex]
A similar problem is given at https://brainly.com/question/16252312
Halla el perímetro y el área de un rectángulo cuyos lados miden 6,3 dm y 48 cm respectivamente
Answer:
El perímetro y el área de un rectángulo cuyos lados miden 6,3 dm y 48 cm es 222 cm y 3024 cm² respectivamente.
Step-by-step explanation:
Para empezar debes tener en cuenta que las medidas tienen que estar en la misma magnitud; por lo tanto en este caso la unidad de medida elegida a utilizar es centímetros. Por lo que el lado que mide 6,3 dm será expresado en cm. Entonces se puede aplicar la siguiente regla de tres simple: si 1 dm equivale a 10 cm, entonces 6,3 dm a cuántos cm equivale?
[tex]cm=\frac{6,3 dm*10 cm}{1 dm}[/tex]
cm=63
Entonces 6,3 dm= 63 cm
El perímetro es la distancia alrededor de una figura, mientras que el área es las unidades cuadradas dentro de una figura.
El Perímetro de un rectángulo es igual a la suma de todos sus cuatro lados. Un rectángulo siempre tiene dos pares de longitudes iguales. Entonces en este caso se obtiene:
63 cm + 63 cm + 48 cm + 48 cm= 222 cm
El área de un rectángulo es el producto de la longitud de los lados. Entonces en este caso se obtiene:
63 cm* 48 cm= 3024 cm²
El perímetro y el área de un rectángulo cuyos lados miden 6,3 dm y 48 cm es 222 cm y 3024 cm² respectivamente.
Ms. Avella’s class volunteers at an animal shelter one day per week.each student is responsible for caring for four animals during every hour spent at the shelter
Please help
Answer:
Option (3)
Step-by-step explanation:
Since, every student is responsible for the caring of 4 animals during every hour,
Number of animals cared for ∝ Number of hours spent at shelter
a ∝ h
a = kh
Here 'k' = proportionality constant
For h = 1 and a = 4,
k = [tex]\frac{h}{a}=\frac{4}{1}[/tex]
k = 4
a = 4h
By this equation,
For h = 2,
a = 8
For h = 3,
a = 12
For h = 4,
a = 16,
For h = 5,
a = 20
Since, for every input value there is a different output value,
Diagram shows a function.
Therefore, Option (3) will be the correct option.
Nico paid $15.32 for 4.3 pounds of blueberries. Nico estimated the cost per pound to be $5.00. Which statement explains Nico’s error? WILL GIVE BRAINLEST DIDN"T SPELL RIGHT BUT ASAP. ONLY 10 MINS SO PLEASE HURRY.
1. Nico rounded $15.32 to $15.00 and 4.3 pounds to 6 before dividing.
2.Nico rounded $15.32 to $15.00 and 4.3 pounds to 3 before dividing.
3. Nico rounded $15.82 to $16.00 and 4.3 pounds to 4 before dividing.
4. Nico rounded $15.32 to $10.00 and 4.2 pounds to 2 before dividing.
Answer:
Nico rounded 15.32 to 15.00 and 4.3 pounds to 3 before dividing
This has to be it for it to equal 5.00
Step-by-step explanation:
Hopefully I helped answer your question
Brainliest plz
Find the distance from A(15,21) to the line 5x +2y=4. Round your answer to the nearest tenth
Answer:The distance from a point to a line is
distance(ax+by+c=0,(x0,y0)) = abs(ax0+by0+c)/sqrt(a^2+b^2)
So first convert the formula for the line to standard form
5x+2y=4
5x+2y-4=0
a=5, b=2, c=-4, x0=15, y0=-21
Step-by-step explanation:
A line passes through the points (–3, –4) and (6, 2)
What is the x-intercept of this line?
please help ahhh
9514 1404 393
Answer:
(3, 0)
Step-by-step explanation:
The line through these points intersects the x-axis at x=3.
The x-intercept is (3, 0).
_____
The x-intercept can be computed from ...
x-intercept = x1 -y1(x2 -x1)/(y2 -y1)
= -3 -(-4)(6-(-3))/(2-(-4)) = -3 +4(9/6) = -3 +6
x-intercept = 3
__
Here, it is simple enough to plot the points and see where the line crosses the x-axis.
VERY HARD MATH QUESTION PLEASE HELP PLEASE SOMEONE ASAP HELP ME PLEASE DUDE PLEASEE (I linked the question as an attachment)
Answer:c and then d
Step-by-step explanation
Answer: Question 1: A) 1 and 6
Question 2: C)110 Degrees
Corresponding angles are angles that have the same degree.
Please mark brainliest if this helped :)
Evaluate [(30 + 6) - 34 = 9 divided by 2
Answer:
2=9/2
Step-by-step explanation:
pls help I need the answer quick!
Answer:
the blue line
Step-by-step explanation:
Find the value of x. Then, find the measure of each labelled angle.
x=_
(7x+10)°=_
(15x+16)°=_
Answer:
x = 7deg
Step-by-step explanation:
7x + 10 + 15x + 16 = 180 (angles adjacent to each other in a //polygon are supplementary)
22x = 154
x = 7deg
This is a question on polygons and angles. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
1 1/2 divided by 2 2/5
Answer:
5/8
Step-by-step explanation:
Enter the approximate value of 2129 to the nearest tenth.
Answer:
10.8
Step-by-step explanation: The answer is 10.77032961 the nearest tenth would be the first seven and the second seven is above 5 so you would round up
f 144 pieces of candy are placed into candy bags with each bag containing 12 pieces of
candy, how many bags can be filled?
How many meters Penelope jogs in 3 laps
Robert is working two summer jobs, making $10 per hour babysitting and making
$25 per hour tutoring. In a given week, he can work no more than 10 total hours and
must earn a minimum of $130. If Robert worked 4 hours tutoring, determine the
minimum number of whole hours babysitting that he must work to meet his
requirements. If there are no possible solutions, submit an empty answer.
Answer:
3 hours
Step-by-step explanation:
The equation will be
10b+25t ≤ 130 (b = hours of babysitting, t = hours of tutoring)
Plug in the 4 hours of tutoring
10b+(25 times 4) ≤ 130
= 10b+100 ≤ 130
10 times 3 = 30, which answers the question
Since 100 + 30 = 130
Therefore, the answer to the minimum amount of hours Robert has to tutor
to make a minimum of $130 is . . .
3
Find the critical value zα2/ that corresponds to a 91% confidence level. Question 13 options: a) 1.7 b) 1.95 c) 1.81 d) 2.33 e) 2.57
Answer:
D
Step-by-step explanation:
2.33 I think
The critical value that corresponds to a 91% confidence level is 1.7
What is critical value?'Critical value is a cut-off value that is used to mark the start of a region where the test statistic, obtained in hypothesis testing, is unlikely to fall in. In hypothesis testing, the critical value is compared with the obtained test statistic to determine whether the null hypothesis has to be rejected or not.'
According to the given problem,
Confidence level = 91%
Now, α = ( 100 - 91 ) %
= 9%
= 0.09
Area of each tail = [tex]\frac{0.09}{2}[/tex]
= 0.045
Area in the middle = 1 - 0.045
= 0.955
Now, if we look up this area on the z-table, the critical value will come as 1.6954, which is nearly equal to 1.7.
Hence, we can conclude, the critical value is 1.7.
Learn more about critical value here: https://brainly.com/question/14508634
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Pls answer ! Thanks
Answer:
The slope is 2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
6th grade math I mark as brainliest
Answer:
False
Step-by-step explanation:
2*2*2*2 is the correct answer
Answer:
False
Step-by-step explanation:
[tex]2^4=2\cdot 4\\\\Simplify\:\:2^4 =16\\Simplify\:\:2\cdot 4 = 8\\\\16=8\\\\\mathrm{The\:sides\:are\:not\:equal}\\\\\mathrm{False}[/tex]
Select the correct answer from each drop-down menu.
Consider the function below Select the correct answer.
Which function is decreasing and approaches negative infinity as x increases?
A.
f(x) = 3(6)x − 2
B.
f(x) = -3(6)x + 2
C.
f(x) = -3(0.6)x + 1
D.
f(x) = 3(0.6)x − 1
Answer:
The answer is C.
Have A Nice Day
10 Points!
Tyra competed on a trivia game show. 10 points were awarded for correct answers, and 5 points were deducted for incorrect answers. She answered 2 questions correctly, but answered one incorrectly. How many points does she have?
Answer:
Step-by-step explanation:
Answer = 15 points
Explain:
Correct answer gives you 10 points
incorrect answers subtract 5 points
She had to correct question which would be 20pts. (10 + 10 = 20)
She got one answer wrong which would subtract 5pts (20 - 5 = 15)
answer = 15pts
Robert has fish, chickens, and dogs. There are 28 eyes total and 16 legs total. Also, there are twice as many fish as chickens. How many dogs are there?
Answer:
There are 2 dogs
Explaination:
If there are 28 eyes in total,
Dogs- 4 eyes
Chickens- 8 eyes
Fishes - 16 eyes
In total they have 28 eyes
if there are 16 legs,
Dogs- 8 legs
Chickens- 8 legs
Fishes- 0 legs
So,
2 Dogs
4 Chickens
8 Fishes
( the problem even said that there are twice as many fish as chickens)
Hey can someone please help me with this
A _______________ is a classification tool that reveals the various possibilities in the comparison of variables for a chi-square.
Answer:
A contingency table
Step-by-step explanation:
Hypothesis tests carried out on contingency tables are based on the chi-square, a statistic.
The contingency table is a Frequency tables of two variables presented at the same time. These tables are constructed when we represent all the levels of a variable as rows in a table and represent the other variables as columns, after which we find the joint or cell frequency for every of the cell.
-X² + 5x - 6 = 2
Using the quadratic formula
[tex]-x^2+5x-6=2\\-x^2+5x-6-2=0\\-x^2+5x-8=0\\[/tex]
↝ Form into [tex]ax^2+bx+c = 0[/tex] where a > 0 (Optional)
[tex]x^2-5x+8=0[/tex] ↝ Multiply -1 for both sides.
↝ Then proceed with the Quadratic Formula.
x = [-b ± (√b²-4ac)]/2a ↝ Quadratic Formula
[tex]x=\frac{-(-5)+-\sqrt{(-5)^2-4(1)(8)}}{2(1)}\\x=\frac{5+-\sqrt{25-32}}{2}\\[/tex]
↝ As you can see that inside the square root, the numbers cannot be negative. Therefore, the solutions are imaginary.
↝ Solution with Real Numbers System ↝ There are no real solutions.
↝ Solution with Complex Number System ↝
[tex]x=\frac{5+-\sqrt{25-32}}{2}\\x=\frac{5+-\sqrt{-7}}{2}\\x=\frac{5+-\sqrt{7}i }{2}[/tex]
Therefore, the answer for Complex Number System is (5±√7i)/2
What is the slope of the line that passes through the points (2, -3) and (2, 13)
Write your answer in simplest form.
Answer:
The answer is undefined
Step-by-step explanation:
The slope of the line that passes through points (2, -3) and (2, 13) is not defined.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The line that passes through points (2, -3) and (2, 13)
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Plug the values to find the slope of the line:
m = (13 + 3)/(2-2) = 16/0 = not defined
Thus, the slope of the line that passes through points (2, -3) and (2, 13) is not defined.
Learn more about the linear equation here:
brainly.com/question/11897796
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8-4 1/2??????????????????????????????????
Answer:
[tex]\frac{7}{2}[/tex]
Step-by-step explanation:
[tex]4\frac{1}{2} = \frac{9}{2}[/tex] [tex]\frac{8}{1} = \frac{16}{2}[/tex] [tex]\frac{16}{2} - \frac{9}{2} = \frac{7}{2}[/tex]I hope this helps!
Find A and B if the graph of Ax + By = 12 passes through (2, 1) and is parallel to the graph of 2x − 7y = 3.
HELLPPPPPP
Answer:
A=-2 and B=7
Equation is -2x+7y=3
Step-by-step explanation:
What is the sum of 2.61 and 58.107?
Answer:
60.717 , because 2.61 + 58.107 = 60.717
Step-by-step explanation:
there are 6 rows of 16 chairs set up for the third-grade play. In the first 4 rows 2 chairs on each end are reserved for teachers. The rest of the chairs are for students. How many chairs are there for students? please HELP!
Answer: 102
Step-by-step explanation:
Which expression is equivalent to -3(4c-2) -2c
A. -8c
B. 8a -34
C. -26a
D. 8a + 7
Answer:
-3(4c-2) -2c = -14c+6
Step-by-step explanation:
We need to find the equivalent expression for -3(4c-2) -2c.
First we open the brackets as follows :
-3(4c-2) -2c
= -12c+6-2c
=-12c-2c+6
=-14c+6
So, the equivalent expression is -14c+6.
what is descriptive language