2.7 divided by 22.41

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:

For our test, we consider that:

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

Answer:

Would it be 90 degrees?

Step-by-step explanation:

Answer:

X=1296

or if your trying to look for the area it would be x=1111

its basically length times width

Answer:

for every 3 male ducks, there is 1 female duck

Step-by-step explanation:

3/1

Answer:

1 female per 3 males

Step-by-step explanation:

duh

Answer:

I don't understand what this is.

Step-by-step explanation:

the Answer is C. 367 meters

Answer: 367 meters

Step-by-step explanation:

Answer:

Kaleb's server will get a tip of $5.55.

Step-by-step explanation:

In order to find the 20% tip. We must calculate 20% of $27.75.

In other words, $27.75 is the full amount, or total of the order. We can also consider this 100% of the required amount.

So, we need to find 20% of $27.75.

27.75 x 0.20 = $5.55 (which is 20% of 27.75)

Therefore, Kaleb's server will get a tip of $5.55.

Hope this helps! :)

Answer:

Step-by-step explanation:

If the price od 1 scallions weight 6ounces, 6 bunches of scallion wwill weight 6(6) i.e 36 ounces.

Cost price = 36 ounces.

%Loss = 19%

Get the selling price

%Loss = 36-Sp/36 * 100

19 = 36-Sp/36 * 100

0.19 = 36-Sp/36

0.19 * 36 = 36-Sp

7.41 = 36-Sp

Sp = 7.41 + 36

Sp = 43.41 ounces

If after cleaning you have 29.5 ounces of cleaned scallions, then then;

% gain = 43.41-29.5/29.5 * 100

%gain = 13.91/29.5 * 100

%gain = 47.2%

Hence the yield percent id 47.2%

Answer:

216.5

Step-by-step explanation:

866/4

216.5

Answer:

216.5 miles per hour.

Step-by-step explanation

This is a fraction equal to

866 miles ÷ 4 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 4

866 miles ÷ 4

4 hours ÷ 4

=

216.5 miles

1 hour

=

216.5 miles

hour

Answer:

let  f(x)=2,  

•In this function there is no x therefore it's a constant function represent as y=2 at x=0

• Therefore at f(0)=2  and even at x=2 it will be the same

• at  f(2)=2 , coordinate will be (2,2)

•• at  f(0)=2 , coordinate will be (0,2)

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf Slope = \frac{1}{11} }[/tex]

Step-by-step explanation:

Given coordinates are (6,-3) and (-5,-4).

[tex]\sf Slope = \frac{y2-y1}{x2-x1}\\\\Slope = \frac{-4+3}{-5-6} \\\\Slope = \frac{-1}{-11} \\\\Slope = \frac{1}{11} \\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

770 per hour.

Step-by-step explanation:

Answer:

Step-by-step explanation:

m∠PYK = 27°

Answer:

False

Step-by-step explanation:

Because a translation can increase or decrease both the x and the y.

Answer:

9 minutes

Step-by-step explanation:

We can start by dividing 45 by 5, the denominator which is

9

then we can multiply that by the numerator 4, which is

36

finally, we subtract 36 from 45 which is

9

Answer:

In decimal form 0.16

Step-by-step explanation:

Answer:

its.12.5

Step-by-step explanation:

but if you round it up it can be either 13 or 12 but i would stick with 12 cause you cant round it up for guests since you know real life and if you stay at 12 they hey stay at 12

Answer:

12

Step-by-step explanation:

100÷8=12.5

can't have half of a person

Answer:

hi

Step-by-step explanation:

hi

Answer:

B

Step-by-step explanation:

RT is the combined segments RE and ET. So:

[tex]RT=RE+ET[/tex]

We know that RT is 43, RE is (4x+7) and ET is 2(3x-4). Substitute:

[tex]43=(4x+7)+2(3x-4)[/tex]

Solve for x. Distribute the right:

[tex]43=4x+7+6x-8[/tex]

Combine like terms:

[tex]43=10x-1[/tex]

Add 1 to both sides:

[tex]10x=44[/tex]

Divide both sides by 10:

[tex]x=4.4[/tex]

So, the value of x is 4.4.

ET is defined as 2(3x-4).

We can find ET by substituting 4.4 for x. So:

[tex]ET=2(3(4.4)-4)=2(13.2-4)=2(9.2)=18.4[/tex]

Hence, our answer is B.

Answer:

Step-by-step explanation:

Let x^3 = y

f(x) = 27(x^3)^2 + 1524(x^3) + 125

f(x) = 27 y^2 + 1524y + 125

You can now put this into the quadratic formula. When you do, you get

(y + 0.0821)(y+56.3623) = 0

So now you substitute x^3 into this

(x^3 + 0.0821)(x^3 + 56.3623)

x^3 + 0.0821 = 0

x^3 = - 0.0821

cuberoot x^3 = cube root 0.0821

x = - 0.4346

x^3 = - 56.3623

x = - 3.8341

Answer:

Yes, my favorite personally is the last jedi

Step-by-step explanation:

Answer:

I love star wars!

My personal favorites are The Clone Wars, The Phantom Menace, Revenge of the Sith, A New Hope, The Empire Strikes back, Return of the Jedi, and The Mandalorian. Just to name a few :P

Step-by-step explanation:

Answer:

7.1, 8.1, 9.1

Answer:

7.1

,

8.1

,

9.1

Step-by-step explanation:

The terms of an arithmetic sequence are generated by adding the common difference (d) to the previous term.

a

1

,

a

1

+

d

,

a

1

+

2

d

,

a

1

+

3

d

,

...

.

,

a

1

+

(

n

−

1

)

d

where  

d

=

a

2

−

a

1

=

a

3

−

a

2

=

...

.

=

a

n

−

a

n

−

1

here  

d

=

4.1

−

3.1

=

1

Adding 1 to each term gives the next 3 terms in the sequence.

⇒

(

6.1

+

1

)

=

7.1

and so onThe terms of an arithmetic sequence are generated by adding the common difference (d) to the previous term.

a

1

,

a

1

+

d

,

a

1

+

2

d

,

a

1

+

3

d

,

...

.

,

a

1

+

(

n

−

1

)

d

where  

d

=

a

2

−

a

1

=

a

3

−

a

2

=

...

.

=

a

n

−

a

n

−

1

here  

d

=

4.1

−

3.1

=

1

Adding 1 to each term gives the next 3 terms in the sequence.

⇒

(

6.1

+

1

)

=

7.1

and so onThe terms of an arithmetic sequence are generated by adding the common difference (d) to the previous term.

a

1

,

a

1

+

d

,

a

1

+

2

d

,

a

1

+

3

d

,

...

.

,

a

1

+

(

n

−

1

)

d

where  

d

=

a

2

−

a

1

=

a

3

−

a

2

=

...

.

=

a

n

−

a

n

−

1

here  

d

=

4.1

−

3.1

=

1

Adding 1 to each term gives the next 3 terms in the sequence.

⇒

(

6.1

+

1

)

=

7.1

and so onThe terms of an arithmetic sequence are generated by adding the common difference (d) to the previous term.

a

1

,

a

1

+

d

,

a

1

+

2

d

,

a

1

+

3

d

,

...

.

,

a

1

+

(

n

−

1

)

d

where  

d

=

a

2

−

a

1

=

a

3

−

a

2

=

...

.

=

a

n

−

a

n

−

1

here  

d

=

4.1

−

3.1

=

1

Adding 1 to each term gives the next 3 terms in the sequence.

⇒

(

6.1

+

1

)

=

7.1

and so onThe terms of an arithmetic sequence are generated by adding the common difference (d) to the previous term.

a

1

,

a

1

+

d

,

a

1

+

2

d

,

a

1

+

3

d

,

...

.

,

a

1

+

(

n

−

1

)

d

where  

d

=

a

2

−

a

1

=

a

3

−

a

2

=

...

.

=

a

n

−

a

n

−

1

here  

d

=

4.1

−

3.1

=

1

Adding 1 to each term gives the next 3 terms in the sequence.

⇒

(

6.1

+

1

)

=

7.1

and so on

Answer:

12/13

Step-by-step explanation:

A probability is the number of desired outcomes over the total number of outcomes.

Assuming that this is a standard deck of playing cards, there will be 52 cards, and there will be 4 "4" cards.

First, find the number of desired outcomes, and put it over the total number of outcomes.

Out of the total number of outcomes (52), there are 4 outcomes that are not wanted, hence the equation is:

52 - 4 = 48

So out of the 52 possible outcomes, 48 are desired. Set up the fraction and

simplify:

48/52

/4   /4

= 12/13

Answer:

B

Step-by-step explanation:

Answer: 1

Step-by-step explanation:

Answer:

lol I would think its some type of witchcraft. probably burn it!

Step-by-step explanation:

The given number is 3.5×10⁶. It is written in scientific form. We can first write it into standard form. There is exponent of 10 is 6.

3.5×10⁶ = 3.5×1000000

We can write 3.5 as 35/10

So,

3.5×10⁶ = (35/10)×1000000

= 3500000

One of the zero of 1000000 is divided by 10 at the denominator. Hence, the exponent in 3.5×10⁶ is 6 while there are 5 zeros in 3500000.

Answer:

forgot to add it

Step-by-step explanation:

thx for points ig

Answer:

Step-by-step explanation:

perimeter = semicircle (x2) + parallelogram side (x2)

                = 1/2 π 12 (x2) + 15 (x2)

               = 37.7 + 30

               = 67.7

Answer:

y=3-2x

Step-by-step explanation:

Move all terms that don't contain y to the right and solve.