Suppose that at Northside High, the number of hours per week that seniors spend on homework is approximately Normally distributed with a mean of 18.6 and a standard deviation of 6. We take a random sample of 36 seniors. What is the mean and standard deviation of the sampling distribution for the 36 students?

Answers

Answer 1

Answer:

The mean and standard deviation of the sampling distribution for the 36 students will be:

Mean = 18.6

Standard deviation = 6

Step-by-step explanation:

The mean and standard deviation of the sampling distribution is equal to the population mean and standard deviation respectively.  The only difference is that the population mean and standard deviation are parameters or fixed values calculated from every individual in the population, while the sample mean and standard deviation are statistics.  Statistics are calculated from only some of the individuals in a population.  They are meant to represent or approximate the population parameters.


Related Questions

what is the difference between 1 and o.1978​

Answers

Answer:

0,8022

Step-by-step explanation:

guess it helped

Suppose a game uses a spinner that has four possible outcomes: 1, 2, 3, and 4. What outcomes make up the complementary event of getting "2 or greater" on this spinner?

Answers

Answer:

Outcome of complementary event of getting "2 or greater" on the spinner = {1}

Step-by-step explanation:

Let A be an event of getting '' 2 or greater ''

The complementary event of A be = A' = getting ''less than 2 ''

Now,

The Sample space S = { 1, 2, 3, 4 }

Outcome of A' = { 1 }

∴ we get

Outcome of complementary event of getting "2 or greater" on the spinner = {1}

Choose the graph of the inequality - 3 > ..
Choose 1 answers
5
.4
-3
2
1
0
1
2
3
4
5
2
1
0
1
2
3
4
5
CO
-3
2.
0
1
3
4
5

Answers

Answer: 5

Step-by-step explanation: 5 isn’t equal to all

Everyday the Norton Family restaurant serves 5/6 of a bottle is soda to their customers for how many days will 2 1/2 bottles of soda last ?

Answers

2 1/2 = 2*2 + 1 = 5/2

5/2 divided by 5/6 equals
5/2 times 6/5

5/2 * 6/5
5*6 / 2*5
30 / 10
3 days

Check:
3 * 5/6
15/6
5/2 = 2 1/2 :)

Each year the US Environmental Protection Agency (EPA) releases fuel economy data on cars manufactured in that year. Below arc summary statistics on fuel efficiency (in miles/gallon) from random samples of cars with manual and automatic transmissions manufactured in 2012. Do these data provide strong evidence of a difference between the average fuel efficiency of cars with manual and automatic transmissions in terms of their average city mileage?

Answers

Answer:

Follows are the solution to this question:

Step-by-step explanation:

Please find the complete question in the attachment file.

[tex]n_1 = 26 \\\\ x_1 = 16.12 \\\\s_1 = 3.58\\\\n_2 = 26\\\\ x_2 = 19.85 \\\\ s_2 = 4.51[/tex]

[tex]H_0: u_1 = u_2\\\\H_1: u_1 \neq u_2[/tex]

Using formula:

[tex]\to S^{2}_{p}=\frac{S^{2}_{1}(n_1 -1)+ S^{2}_{2}(n_2-1)}{n_1+n_2-2}[/tex]

[tex]\to Sp^2 = \frac{((26-1) \times (3.58^2) + (26-1) \times (4.51^2))}{(26+26-2)}[/tex]

          [tex]= \frac{((25) \times 12.8164 + (25) \times 20.3401 )}{(26+24)}\\\\ = \frac{(320.41 + 508.5025)}{(50)}\\\\ = \frac{(828.9125)}{(50)}\\\\=16.57825[/tex]

[tex]\to Sp = 4.0716[/tex]

Calculating the value of standard error:

[tex]\to SE = Sp \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2}}[/tex]

          [tex]=4.0716 \times \sqrt{\frac{1}{26}+\frac{1}{26}}\\\\=4.0716 \times \sqrt{\frac{1+1}{26}}\\\\=4.0716 \times \sqrt{\frac{2}{26}}\\\\=4.0716 \times \sqrt{\frac{1}{13}}\\\\=4.0716 \times 0.277 \\\\=1.1278332\\\\= 1.1293[/tex]

Calculating the value of test statistic:

Formula:

[tex]\to t = \frac{(x_1-x_2)}{SE}[/tex]

      [tex]= \frac{(16.12 -19.85)}{1.1293}\\\\= \frac{(-3.73)}{1.1293}\\\\=-3.303[/tex]

Calculating the value of Degree of freedom:

[tex]= n_1+n_2 -2 \\\\= 26+26 -2 \\\\= 52 -2 \\\\= 50[/tex]

Because the P-value is a 2-tailed test = 0.0018

Thus they reject H0, because of P-value < 0.05,

Yeah, certain data show clearly that the means are different.

Please help me with this, I have to turn it in today and I’ll give Brainly. please only answer if you know the answer...this is very important

Answers

The arcs on the Golden Gate Bridge.

I think about the Golden Gate Bridge, which is a suspension bridge.

As in any suspension bridge, a long cable is supported by two large supports.

The cable falls from support, in the form of a curve concave upwards, to a minimum point that is the vertex of the parabola, through which the axis of symmetry passes, and curves again upwards to ascend to the upper end of the other support.

As a unique feature of this parabolic arc, you can tell that the concavity is upward; the parabola opens upward.

Also, you can tell that the parabola is vertical, which means that the axis of symmetry is vertical.

The symmetry is clear because the curve to the left of the vertex is a mirror image of the curve to the right of the vertex. Hope I helped, have a good day!

Maria needs $2.35 to buy a magazine. The only money she has is a jar of nickels and dimes. Write an equation in standard form for the different amounts of nickels and dimes she could use.

Answers

Answer:

Step-by-step explanation:

sorry need the points

Escribevel numero decimal que corresponde alos puntos intermedios que indican las flechas

Answers

Answer:

cualeeeeeeeeeeeeeeeeeeeeees fffffleeeeeccccchhhhaaaasssss

Consider the following random experiment. First, roll a die and observe the number of dots facing up; then, toss a coin the number of times that the die shows and observe the total number of heads. For example, if the die shows three dots facing up and the coin (which is then tossed three times) comes up heads exactly twice, then the outcome of the experiment can be represented as (3, 2).
a. Determine a sample space for this experiment.
b. Determine the event that the total number of heads is even.

Answers

Answer:

{(1, 0), (1, 1), (2,0), (2,1), (2, 2), (3,0), (3,1), (3,2), (3,3), (4, 0), (4,1), (4,2), (4,3), (4,4), (5,0), (5,1),(5,2), (5,3), (5,4), (5,5), (6,0), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)}

B.)

{(2,2), (3,2), (4,2), (4,4), (5,2), (5,4), (6,2), (6,4), (6,6)}

Step-by-step explanation:

Sample space :

Die roll, then number of coin tosses based on the outcome of the die roll, then number of heada from the toss(es) is recorded along with the outcome of the die roll.

{(1, 0), (1, 1), (2,0), (2,1), (2, 2), (3,0), (3,1), (3,2), (3,3), (4, 0), (4,1), (4,2), (4,3), (4,4), (5,0), (5,1),(5,2), (5,3), (5,4), (5,5), (6,0), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)}

Event that the total number of head is even:

{(2,2), (3,2), (4,2), (4,4), (5,2), (5,4), (6,2), (6,4), (6,6)}

The model below is shaded to represent 7 3/10

Answers

Answer:

blue 7.3

Step-by-step explanation:

Answer:

7.3

Step-by-step explanation:

There are 7 groups with 10 parts in each, 7 complete rows are filled in. 3 are left in the last row. This means that there are 7 wholes with 3 left over. 7.3

In the text box, write the next 3 terms in the sequence and describe the pattern. In the checkbox, identify if the sequence is arithmetic, geometric or neither and identify if the sequence has a common ratio, a common difference or neither.

-4, -2, 0, 2, ____, ____, ____,

Arithmetic
Geometric
Neither
Common difference
Common ratio

Answers

Answer:

d = 2

Next 3 terms = 4, 6 and 8

Step-by-step explanation:

Given the sequence

-4, -2, 0, 2, ____, ____, ____,

common difference = -2-(-4) = 0-(-2) = 2

Since they have the same common difference, hence it is an arithmetoc progression

Tn  = a +(n-1)d

a is the first term = -4

n is the number of terms

d is the common difference = 2

Get the fifth term

T5 = -4+(5-1)2

T5 = -4+(4)(2)

T5 = -4 + 8

T5 = 4

T6 = -4+(6-1)2

T6 = -4+(5)(2)

T6 = -4 + 10

T6 = 6

T7 = -4+(7-1)2

T7 = -4+(6)(2)

T7 = -4 + 12

T8 = 8

Hence the next 3 terms are 4, 6 and 8


Definition: The number to which a base is raised to is called the___ this tells you how many times to multiply the base together

Answers

Answer:

power or give me the answer choices

Step-by-step explanation:

Choose the three rectangles that have a perimeter of 36 inches.

Answers

Step-by-step explanation:

The three rectangles that have perimeter of 36 inches are

A. C. and D

Just check by using the formula of perimeter of rectangle ; 2 (L + b)

Hope it will help :)

Determine the permanent life insurance amount per thousand given that the policy belongs to a healthy 25-year-old
male with an annual premium of $4,072.2 and a face value of $110,000 on a 20-Year Endowment insurance policy
a $38.96
$37 67
b. $38.23
di $37.02
C

Answers

Answer:

The Answer is D

Step-by-step explanation:

Just took the quiz

Please help me please
Thank you

Answers

Answer:

Y=1/2x

Step-by-step explanation:

the y intercept is 0 so we dont show it, and slope is rise over run, it goes up one unit every two times to the right

i hope this help!

Solve this system by using the elimination method. 2x + 3y = - 12 - x - 3y = 18

Answers

Answer:

Step-by-step explanation:

2x + 3y = -12

-x - 3y = 18

x = 6

-6 - 3y = 18

-3y = 24

y = -8

(6, -8)

The solution of the system by using the elimination method is (6, -8).

What is an Equation?

An equation says that two things are equal. It will have an equals sign "="

How to solve it?

We have,

2x + 3y = -12

-x - 3y = 18

x = 6

Now,

-6 - 3y = 18

-3y = 24

y = -8

We got the solution:

(6, -8)

Learn more about Equations:

https://brainly.ph/question/4246696

#SPJ2

A field is a rectangle with a perimeter of 1240 feet. The length is 400 feet more than the width. Find the width and length of the rectangular field.
The width

Answers

Answer:  The length is 510 and the width is 110.

Step-by-step explanation:

To find the area of a rectangle, you will have to add the 2 times the length plus 2 times the width because  a rectangle have 4 sides. Two widths and two  lengths.

You can now use the formula  P= 2l + 2w  

were P is the perimeter , l is the length, and w is the width.

the length is 400 more than the width, so we can represent that by the equation,  l = w + 400  

And now we know that the width is w.

So now we will input the perimeter, length, and into the formula to solve for w.

1240 = 2(w + 400) + 2w

1240 = 2w + 800 + 2w

1240 = 4w + 800

-800            -800

   440 = 4w

    w = 110

L= 110 + 400

L = 510  

Check :

1240 = 2(510) + 2(110)

1240 = 1020 + 220

1240 = 1240

What is greater than 525.06 but less than 525.6?

Answers

The answer is 525.60 love

Urgent!! Math!! What’s the answer to 2,3,4??

Answers

Answer:=25

Step-by-step explanation:

Answer:

2 is B

3 is C

and i'm pretty sure 4 is B

Step-by-step explanation:

the calculator says otherwise -.-

Thats the correct answer.

Which polygon(s) below are similar (not congruent) to polygon A? Mark the similar polygon(s) with true

Answers

i think all of them are similar to A because they all are the same shape

A department store buys 300 shirts at a cost of $3,600 and sells them at a selling price of $20 each. Find the percent markup. The percent markup is 1%. (Round to the nearest whole number as needed)​

Answers

Answer:

40%

Step-by-step explanation:

A department store buys 300 shirts at a cost of $3,600 and sells them at a selling price of $20 each. Find the percent markup.

The formula for Percent Markup is given as:

Selling price - Cost price/Cost price × 100

Cost price = $3,600

Selling price = $20 × 300 shirts

= $6000

Percent Markup = $6000 - $3600/6000 × 100

= 2400/6000 × 100

= 40%

The percent Markup is 40%

WILL MARK BRAINLIEST HELP ASAP!! A caterpillar crawling in a straight line across a coordinate plane starts at point (—3, —4) and ends at point (25, 38). Counting the start point and end point, how many points with integer coordinates does the caterpillar touch?

Answers

Answer:

15

Step-by-step explanation:

The slope = [tex]\frac{change in y}{change in x} =\frac{38+4}{25+3} =\frac{42}{28} =\frac{3}{2}[/tex]

This means that when the caterpiller moves 2 units to the right, it moves 3 units up.  Since 42/3 = 28/2 = 14. this happens 14 times from (-3, -4) to (25, 28).   Counting the starting point (-3, -4) we get 14 + 1 = 15 points with integer coordinates.

!! PLEASE HELP, TIMED!!Multiple choice, BRAINLIEST for correct answer!

Answers

Answer:

I'm not going to lie I'm not 100% sure but I think it's c

Answer:

D

Step-by-step explanation:

4x=4+2y

3y=5+2x

1. Adan and Darlene have entered the Pythagorean Lake Endurance Trial. Part of the
competition requires them to travel from Geoville, which is on the south side of the lake,
to Triple City, which is across the lake and due north of Geoville. Adan decides to ride
his scooter from Geoville to Angle Point, which is 20 miles due east of Geoville, and then
continue on to Triple City. There is a direct route that runs in a straight line for 25 miles
from Angle Point to Triple City. Adan's scooter can go no faster than 35 mph. Darlene
thinks she can beat Adan to Triple City by taking a fishing boat (average speed 12 mph)
directly from Geoville to Triple City. Who will get to Triple City first? Explain your
solution.

Answers

Answer:

Darlene will get there first

Step-by-step explanation:

I have uploaded the work

Let's say a student scored 33 on a math achievement test for which scores are normally distributed with mean
43 and standard deviation 10.
What proportion of students finished worse than her?

Answers

Answer:

15.87%

Step-by-step explanation:

We are given;

x¯ = 33

μ = 43

σ = 10

Let's first find the z-score from the formula;

z = (x¯ - μ)/σ

Thus;

z = (33 - 43)/10

z = -10/10

z = -1

From the table attached the p-value at z = -1 is p = 0.15866 ≈ 0.1587 = 15.87%

Thus, proportion of students finished worse than her is 15.87%

Need help with math points and brainlest

Answers

answer: 10 ft (now i’m just typing to make it 20 letters long lol)

Answer: 10 because if they have the same shape then it must be 10.

I'm not sure if they want the same area or the same length. But if you want the volume then it would be 2. Because 2 x 75 = 150 and 15 x 10 = 150. Wait for more responses if needed.

i inserted a picture can you please help i dont get it thanks :)

Answers

Answer:

3V/pi r2=h

Step-by-step explanation:

pi is piπ

What is the value (m2h6w4)3

Answers

Answer:

The answer is 144 mhw

Answer:

[tex]3m^{2} 3h^{6}3w^{4}[/tex]

Step-by-step explanation:

[tex]3(m^{2} h^{6}w^{4})\\3m^{2} 3h^{6}3w^{4}[/tex]

Tacoma's population in 2000 was about 200 thousand, and has been growing by about 8% each year. If this continues, what will Tacoma's population be in 2010?

Answers

Answer:

P(15) = (200,000)(1.08)15 = 634,434

Step-by-step explanation:

If the population at the beginning of 2000 was 200,000

Then the growth equation is P = Po(1.08)(y)     where year year 2000 was year 1 or y = 1

At the end of 2015 or  2015-2000 = 15 years later, or at the end of the 15th year

If the population at the beginning of 2000 was 200,000

Then the growth equation is P = Po(1.08)(y) where year year 2000 was year 1 or y = 1

At the end of 2015 or 2015-2000 = 15 years later, or at the end of the 15th year:

Population P(15) = (200,000)(1.08)15 = 634,434 (

sinA•cosA•tanA+cosA-SinA.cotA give answer pls

Answers

Answer:

Step-by-step explanation:

Tan A = Sin A/Cos A

Cot A = Cos A / Sin A

Sin A*Cos A * tan A + Cos A * Sin A * Cot A

  [tex]= Sin A * Cos A * \frac{Sin A}{Cos A} + Cos A*Sin A * \frac{Cos A}{Sin A}\\\\= Sin A * Sin A + Cos A * Cos A\\\\= Sin^{2} A + Cos^{2} A\\\\= 1[/tex]

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