The average score of all high school students in math and science is 150 with a standard deviation of 25. A random sample of 125 students in a district shows an average score of 158. At 95%, is the difference significant? Follow the five-step one-sample test and write your conclusion.

Answers

Answer 1

Answer:

The difference is significative we reject H₀

Step-by-step explanation:

Normal Distribution

Population mean            X₁    =  150

Population standard deviation       σ  =  25

Sample size        n   =  125

Sample mean     X₂   =  158

1.-CI =  95 %   significance level    α  =  5%    α = 0,05

From z-table α = 0,05    z(c)  =   1,64    ( the test is one-tail test to the right)

2.-Hypothesis Test

Null Hypothesis                                    H₀        X₂  =  X₁

Alternative Hypothesis                        Hₐ        X₂  >  X₁

3.-To compute z(s)

z(s)  =  ( X₂  -  X₁ ) / σ/√n

z(s)  =    8 * 11,14 /25

z(s)  =  89,12/25

z(s)  = 3,56

4.- Comparing  z(s)  and z(c)

z(s)  > z(c)

Then z(s) is in the rejection region we reject H₀


Related Questions

HELP ME ASAP PLEASE!!!!

Answers

Answer:

D   good luck

Step-by-step explanation:

Lola gets two 20-minute breaks at work each day. She works 5 days a week. How much time does she spend on break each week?
Group of answer choices

Answers

Answer:

200 minutes / 3 hours & 20 minutes.

Step-by-step explanation:

This is quite simple.

First, since we know that Lola takes two 20 minute breaks at work each day, let's multiply 20 and 2.

20 × 2 = 40

This means she is on break for a total of 40 minutes each day.

Finally, let's take that 40 and multiply it by 5.

40 × 5 = 200

This means she spend 200 minutes (3 hours & 20 mins) on break each week.

200 minutes or 3 hrs and 20 mins

which one is greater 14.09 or 14.090

Answers

Answer: They are the same or equal to each other.

Step-by-step explanation:

Hope this helps.

(7,-4) and (-11,4) finding slope

Answers

Answer:

-4/9

Step-by-step explanation:

Which best fits in those boxes to find 46x93?

Answers

Answer:

Step-by-step explanation:

1.24

Answer:

3600

540

120

18

4278

Step-by-step explanation:

Jimmys garden has a length of 2b
+ 4 and a width of 7b + 2. What is
the perimeter of the garden?

Answers

Answer: 18b + 2

Step-by-step explanation:

Length: 2b + 4

Width: 7b + 2

I assumed the garden is a rectangle shape since the length and width are different.

Perimeter = 2( L + w)

Then we just plug the values in.

2 (2b + 4 + 7b + 2)

2 (9b + 6) = 18b + 12

So, the equation for the perimeter of Jimmy's garden will be 18b + 2.

$18 if it has 9 attendees. If there are 26 attendees, how much will the corporate team-building event cost? Solve using unit rates.

Answers

Answer:$52

Step-by-step explanation: I would first set up an equation. 9a=18 (a means attendees). Then, I would divide both sides by 9 to isolate the a. I would get a=2. So now I know that 1 attendee costs 2 dollars. If I want to find the cost for 26 attendees, all I would have to do is multiply both sides of the equation a=2 by 26. I would get 26a=52. So, 26 attendees cost $52. I hope this helps you out!

Answer: $52 I believe

jawan made a table to figure out how much he eearns at his job.

Answers

Lovely let’s do the cha cha side

Answer:

uh can we see the chart

Step-by-step explanation:

Helpppzzzzzz



If 3% is half of a sharks gills and a car crashed on my roof, but the car had insurance so the moon blew up in disgust does that mean Santa’s not real??

Answers

if the 3% comes with the car in equation you take the amount of seperate asteroids created by the moon and divide it by that 3% then add the number 25 and use that to the power of 3 and then you get the answer:

Santa is and isnt real at the same time

Carrie has a planter box with an area of 4/5 of a square meter. She wants to plant 10 snap pea seeds each with an equal amount of room to grow. What area will she give to school snap pea plant?

Answers

Answer: She will give 8 square meter area to school snap pea plant.

Step-by-step explanation:

Given: Area required by each planter box = [tex]\dfrac45[/tex] square meter

Total number of snap pea seeds  = 10

The total area required =  (Area required by each planter box ) x (number of snap pea seeds)

[tex]=\dfrac45\times10\\\\=4\times2=8[/tex]

Hence, she will give 8 square meter area to school snap pea plant.

6(3x/2-4) =30

Side note: 3x/2 is a fraction

Answers

Answer:

x = 6

Step-by-step explanation:

Given

6( [tex]\frac{3x}{2}[/tex] - 4 ) = 30 ( divide both sides by 6 )

[tex]\frac{3x}{2}[/tex] - 4 = 5 ( add 4 to both sides )

[tex]\frac{3x}{2}[/tex] = 9 ( multiply both sides by 2 to clear the fraction )

3x = 18 ( divide both sides by 3 )

x = 6

Answer:

x = 6

Step-by-step explanation:

[tex]6( \frac{3x}{2} - 4) = 30[/tex]

Dividing both the sides by 6 ,

[tex] = > \frac{6( \frac{3x}{2} - 4) }{6} = \frac{30}{6} [/tex]

[tex] = > \frac{3x}{2} - 4 = 5[/tex]

Adding 4 on both the sides ,

[tex] = > \frac{3x}{2} - 4 + 4 = 5 + 4[/tex]

[tex] = > \frac{3x}{2} = 9[/tex]

Multiplying both the sides by 2 ,

[tex] = > \frac{3x}{2} \times 2 = 9 \times 2[/tex]

[tex] = > 3x = 18[/tex]

Dividing both the sides by 3,

[tex] = > \frac{3x}{3} = \frac{18}{3} [/tex]

[tex] = > x = 6[/tex]

What is the solution for the equation?

a+8/3=2/3

A. a= -10/3
B. a= -2
C. a= 2
D.a=10/3​

Answers

Answer:

[tex]a=-2[/tex]

Step-by-step explanation:

Sylvie and Bono hiked to the 6,288-ft summit of Mount Washington, then hiked to Carter Notch Hut for the night. Carter Notch Hut is located at an elevation of 3,288 ft. A number line going from negative 4000 to positive 4000 in increments of 1000. Which point represents the change of elevation in feet on the hike from the summit to Carter Notch Hut? –4000 –3000 3000 4000

Answers

Answer: the answer is -3000 i meant

Step-by-step explanation:

Please need help with question

Answers

Answer:

A

Step-by-step explanation:

The correct answer to this problem is letter A.

PLEASE HELP Consider these functions f(x)=x+1

Answers

Answer:

fo(g(X)= 2/X +1.

Option C

Step-by-step explanation:

Hey there!

Given;

f(X) = x+1

g(x) = 2/X

Now, To find: (f o g(x))

[tex]fo(g(x)) = f(g(x))[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = f( \frac{2}{x} )[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{2}{x} + 1[/tex]

Therefore, fo(g(X)= 2/X +1.

Hope it helps...

Please help with this question

Answers

Answer: Negative

Step-by-step explanation:

A is farther from 0 on the number line, whereas B is closer to zero. If A is negative and B is positive, B + A will be negative as the absolute value of A is greater than the absolute value of B (further from 0).

Answer:

The correct answer is B Negative

Step-by-step explanation:

When you are adding a negative, and a positive, if the negative will take over, and vice versa. For example if you were to add -8+3 it would equal -5.


Transitive Property Definition of COMPLEMENTARY Angles Subtraction Property
M∠1 + M∠2 = 90° and M∠2 + M∠3 =90°
M∠1 + M∠2 = M∠2 + M∠3 M∠1 = M∠3
Definition of Congruent Angles
∠1 ⩭ ∠3

Answers

so what is the question exactly?

Which equation represents a circle that contains the point (–5, –3) and has a center at (–2, 1)?

Distance formula: StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot

(x – 1)2 + (y + 2)2 = 25
(x + 2)2 + (y – 1)2 = 5
(x + 2)2 + (y – 1)2 = 25
(x – 1)2 + (y + 2)2 = 5

Answers

Answer:

(x + 2)² + (y - 1)² = 25

Step-by-step explanation:

radius: r² = (1 - (-3))² + (-2 - (-5))² = 16 + 9 = 25

r = 5

Circle: (x - h)² + (y - k)² = r²

center: (-2 , 1)      h = -2       k = 1

(x + 2)² + (y - 1)² = 25

The equation represents a circle that contains the point (–5, –3) and has a center at (–2, 1) is (x+2)^2 + (x-1)^2 = 25

Equation of a circle

The standard equation of a circle is expressed as:

(x-a)^2+(y-b)^2 = r^2

where:

(a, b) is the centre

r is the radius

Given the following parameters

(a, b) = (-2, 1)

r² = (1 - (-3))² + (-2 - (-5))² = 16 + 9 = 25

Substitute into the formula to have:

(x-(-2))^2 + (x-1)^2 = 25

(x+2)^2 + (x-1)^2 = 25

Hence the equation represents a circle that contains the point (–5, –3) and has a center at (–2, 1) is (x+2)^2 + (x-1)^2 = 25

Learn more om equation of a circle here: https://brainly.com/question/1506955

PLEEAAASE IIIIIIIIIII NNNNNNNNNEEEEEEEEEEEEDDDDDDDD HEEEEEEEEEEEEEEEELLLLLLLLLLLPPPPPPPPPPPP

Answers

Answer:

9

Step-by-step explanation:

In order for this problem to have more than one solution, one will have to make it such that the two sides are equal. Call the unknown quantity "x", and solve this equation like a literal equation;

5u + 3(4u - 6) = -3u - 27 + 20u + x

Simplify, (distribute and combine like terms);

5u + 12u - 18 = 17u - 27 + x

17u - 18 = 17u - 27 + x

Inverse operations;

17u - 18 = 17u - 27 + x

-17u         - 17u

-18 = -27 + x

+27   + 27

9 = x

Answer: 9

Step-by-step explanation:

The triangles below are congruent and their corresponding parts are marked.

Answers

Answer:

I think it's a but I'm not 100 percent sure but I'd say a

Approximate the percent of values on the box and whisker plot that lie below 68?



50
75
25
49

Answers

Answer:

50

Step-by-step explanation:

Let the area of a rectangle in square metres is x^2+13x+42 how much longer is the length than the width of the rectangle

Answers

Answer:

1

Step-by-step explanation:

Area of rectangle

lw

So we have to factorise the expression

x²+13x+42

x²+6x+7x+42

x(x+6)+7(x+6)

(x+7)(x+6)

So

x+7-(x+6)

x+7-x-6

1

formula for an for the arithmetic sequence.
ah = -1, d = -7

Answers

Answer:

The formula for the arithmetic sequence will be:

[tex]a_n=-7n+6[/tex]

Step-by-step explanation:

Given

a₁ = -1d = -7

We know that we can get the next term of the Arithmetic sequence by taking the current term and adding the common difference.

so

a₂ = a₁ +  d

    = -1 + (-7)          ∵ a₁ = -1

    = -1 - 7

     = -8

similarly,

a₃ = a₂ + d

     = -8 + (-7)

     = -8 - 7

      = -15

and so on

Thus, the Arithmetic sequence becomes

a₁, a₂, a₃, ...

-1, -8, -15, ...

as

a₁ = -1d = -7

Therefore, An arithmetic sequence has a constant difference d and is defined by

[tex]a_n=a_1+\left(n-1\right)d[/tex]

substituting a₁ = -1 and d = -7

[tex]a_n=-7\left(n-1\right)-1[/tex]

[tex]a_n=-7n+6[/tex]

Hence, the formula for the arithmetic sequence will be:

[tex]a_n=-7n+6[/tex]

Can I get help with this I been stuck for days

Answers

Answer:

y = f(x + 2)

Step-by-step explanation:

Which relation is not a function?
(-4, 6). (0, 6). (7, 6), (4, 6), (-7, 6)
(1, 3), (3, 5). (5, 7). (7, 9). (9,1)
(4, 1). (8, 2). (12, 3). (16, 4), (20, 4)
(7,3), (7, 6), (7, 9), (7, 12) (7, 15)

Answers

Answer: D ( 7,3 7,6 7,9 7,12 7,15)

Step-by-step explanation:

A- (-4, 0, 7, 3, -7) There are no repeating domains, therefore, this is a function

B- (1, 3, 5, 7, 9) The domain does not repeat, therefore this is a function

C- (4, 8, 12, 16, 20) The domain does not repeat, therefore this is a function

D- (7, 7, 7, 7, 7) The entire domain repeats, therefore this cannot be a function

Correct answer is D ( 7,3 7,6 7,9 7,12 7,15)

When graphing the inequality. 2 - 8> -20 is it open or closed dot, and is it shaded to the left or the right?​

Answers

Answer:

I assume you know the 4 inequalites:

The 4 Inequalities

Symbol      Words               Example

>          greater than        x+3 > 2

<             less than         7x < 28

≥ greater than or equal to 5 ≥ x−1

≤    less than or equal to 2y+1 ≤ 7

The "open circle" represents less than or greater than, and the "closed circle" represents greater than or equal to or less than or equal to.

Hope it helps! Have a great day! :) let me know if it helped

Select each pair of expressions that are equivalent. 3x + 14 – x + 112 and 4x + 134 2 + 6x and 2(3x + 1) 3(x + 1) – (1 – x) and 2x + 3 3x and 4(x + 1) – x – 4 5.5 + 2.2x + 3.8x – 4.1 and 1.4 + 6x

Answers

Answer:

Options (2), (4) and (5)

Step-by-step explanation:

Option 1

(3x + 14 - x + 112) and (4x + 134)

Since, (3x + 14 - x + 112) = (3x - x) + (12 + 112)

                                      = 2x + 124

Therefore, (3x + 14 - x + 112) ≠ (4x + 134) [Not equivalent]

Option 2

(2 + 6x) and 2(3x + 1)

2(3x + 1) = (6x + 2)

Therefore, (2 + 6x) = (6x + 2) [Equivalent]

Option 3

3(x + 1) - (1 - x) and (2x + 3)

Since, 3(x + 1) - (1 - x) = 3x + 3 + x - 1

                                  = (3x + x) + (3 - 1)

                                  = 4x + 2

Therefore, (2x + 3) ≠ (4x + 2) [Not equivalent]

Option 4

3x and 4(x + 1) - x - 4

Since, [4(x + 1) - x - 4] = 4x + 4 - x - 4

                                   = (4x - x) + (4 - 4)

                                   = 3x

Therefore, 3x = [4(x + 1) - x - 4] [Equivalent]

Option 5

(5.5 + 2.2x + 3.8x - 4.1) and (1.4 + 6x)

Since, (5.5 + 2.2x + 3.8x - 4.1) = (2.2x + 3.8x) + (5.5 - 4.1)

                                                 = (6x + 1.4)

Therefore, (1.4 + 6x) = (6x + 1.4) [Equivalent]

Write the prime factorization of 11. Order the factors from least to greatest (for example, 2 x 2 x 3 x 5).​

Answers

Answer:

1 and 11.

Step-by-step explanation:

Because 11 is a odd number

PLEASE HELP FAST I NEED A EXPERT OR HIGHER 20 POINTS! I need the domain and range of each Graph 2 number so for example 5/1 or something THANKS!!

Answers

Problem 1

Answers:

Domain: [tex]-3 \le x < 5[/tex]

Range: [tex]-4 < y \le 3[/tex]

--------------------

Explanation:

The domain is the set of allowed x inputs of a function. The smallest x value we can use is x = -3 (note the very left-most point of the graph). The right-most point involves x = 5, but we can't actually use this x value due to the open hole. So that's why we don't have "or equal to" attached to the 5.

The range is the set of possible y outputs. The lowest we can go is y = -4, but we don't include this as part of the range. The largest y can get is y = 3. So the range is [tex]-4 < y \le 3[/tex]

===========================================

Problem 2

Answers:

Domain: [tex]-2 < x < 4[/tex]

Range: [tex]-2 < y < 5[/tex]

--------------------

Explanation:

We use the same idea as in problem 1. Both endpoints are open holes, so we don't include them as part of the domain and range. For instance, we can't include x = 4 but we can get closer and closer to it. The same idea applies to the range as well.

===========================================

Problem 3

Answers:

Domain:  [tex]1 \le x \le 4[/tex]

Range: [tex]-4 \le y \le -1[/tex]

--------------------

Explanation:

The same idea applies as used earlier. This time we include both endpoints, so we have "or equal to" as part of each inequality sign.

What is y equal to ?

Answers

Answer:

y= 42

Step-by-step explanation:

angles in a triangle add up to 180

48+90=138

180-138= 42

(if you need the  value of x)

180-48=132

132/2=66

x=66

(value of z)

90+66=156

180-156=24

z=24

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