A random sample of 50 students at a large high school resulted in a 95 percent confidence interval for the mean number of hours of sleep per day of (6.73, 7.67). Which of the following statements best summarizes the meaning of this confidence interval?
A . About 95% of all random samples of 50 students from this population would result in a 95% confidence interval that covered the population mean number of hours of sleep per day.
B. 95% of the students in the survey reported sleeping between 6.73 and 7.67 hours per day.
C. 95% of the students in this high school sleep between 6.73 and 7.67 hours per day.
D. A student selected at random from this population sleeps between 6.73 and 7.67 hours per day for 95% of the time.

Answers

Answer 1

Answer:

A . About 95% of all random samples of 50 students from this population would result in a 95% confidence interval that covered the population mean number of hours of sleep per day.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

In this question:

95% CI from a sample of 50 students is (6.73, 7.67).

This means that we are 95% sure that the population mean is in this interval, that is, about 95% samples of 50 would contain the population mean, which is given by option A.

Answer 2

By using basic definition of confidence interval we can say that option A " About 95% of all random samples of 50 students from this population would result in a 95% confidence interval that covered the population mean number of hours of sleep per day." is correct.

What is confidence interval ?

confidence interval tells us the degree of certainty or uncertainty that is existent in a sampling method. It gives us a range of values, telling us we are fairly sure that our true value or parameter lies within the range.

Here given that  95%  confidence interval from a sample of 50 students is (6.73,7.67). so we can say that there are 95% chance that the population mean is in this interval (6.73,7.67) , that is, about 95% samples of 50 would contain the population mean, so option A is correct

By using basic definition of confidence interval we can say that option A " About 95% of all random samples of 50 students from this population would result in a 95% confidence interval that covered the population mean number of hours of sleep per day." is correct.

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Related Questions

Questions in the attachments

Thank you to anyone who answers it

Answers

Answer:

C. 3.5

2 is one less than 3 and 3.5 is one less than 4.5. It's pretty easy. :)

Answer:

XY=3

Step-by-step explanation:

Which statement, if true, would help prove that quadrilateral
FGHJ is inscribed in Circle O and why?

Answers

Answer:

i believe its a

Step-by-step explanation:

.........

Which figures always have right angles

Answers

Answer:

rectangles, squares, and right triangles

Find the measure of the angle indicated in bold

Answers

the answer is 50.

i came to this conclusion when using this equation: 15x+5=2+16x
for x, i got 3.

using my x-value, i replace “x” with “3” when solving angle measure, “15(3)+5”

15(3)+5= 50
there is your answer!

Team A has a winning probability of 7/10 . team b has winning probability of 0.427 . which team has the higher probability of winning?

Answers

Answer:

i dont know

Step-by-step explanation:

I rlly need help with this if you answer correctly I'll mark you as brainliest so pls answer correctly pls and ty​

Answers

A
for the first because the scatter point is going up in a positive slope so I’m assuming that’s what positive correlation means.. as the dinosaurs length increases the weight increases


B
For the second one , if you plot the dots there’s no relationship .. they’re all over the place

If x = -8, then which of the following equations makes a true statement?
A. 3x - 5 = -23
B. 2x - 2 = -18
C. 2x - 1 = -10
D. 3x - 1 = -16

Answers

It would be B. Because if x = -8 2x= -16-2 would be-18

Sierra has 24.48 ft. of ribbon. She will use all the ribbon to create 5 bows. About how much ribbon will she use on each bow?

Answers

Answer:

the answer is 4.8 brainy plss

Answer:

If all the bows are of equal size she will use 4.896 ft of ribbon for each bow

Step-by-step explanation:

24.48/5=4.896

Hope this helps :)

Find the value of x (supplementary angle) please show work I will mark u brainlist

Answers

x/5+1=180-134
x/5=45
x=225

What is the range of the following exponential function?plz help asap

Answers

Answer:

0.23

Step-by-step explanation:

Is it 1,2,3 or 4
Look at the picture.
Thank u!

Answers

Answer:

4896 sq units

Step-by-step explanation:

A = lw

multiply 48 to 102

The piping connection to the vacuum pump should be

Answers

Answer: Micron gauges (electronic vacuum gauges) should be connected directly to the system – not at the pump – to check the vacuum at the system

Step-by-step explanation:

Answer i am smart

Step-by-step explanation:

A student is solving the problem X to the power of 2+10x+ __=16+ __ my method of completing the square. What number should the student add to both sides?
A) 4
B)5
C) 25
D) 16

Answers

Answer: C) 25

Step-by-step explanation:

x²+10x+ __=16+ __

Only the square of 5, 5², which is 25, can make the two factors plus equal to 10x, so we need to add 25.

PLEASE HELP ASAP GEOMETRY 20 POINTS REAL ANSWERS ONLY!


Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.

C = 122.2°
a = 8 km
b = 10.4 km

Answers

Answer:

16.2

Step-by-step explanation:

Use the law of cos

c^2 = 8^2+10.4^2-2*8*10.4*cos(122.2 degrees)

=260.83

c = √260.83 = 16.15

The missing side of the triangle is 16.2 km (round to the nearest tenth)

What is law of cosines ?

If a, b, c are sides of a triangle & C be the angle opposite to side c, then

c²=a²+b²-2ab cosC

What is the missing side ?

Here, in the given question, a = 8km & b = 10.4 km

Also the angle opposite to the third side c (say) is C = 122.2°

So, according to the law of cosines,

c²=(8)²+(10.4)²-2(8)(10.4) cos(122.2°)

⇒ c²= 64+108.16-(-88.67)

⇒ c²= 172.16+88.67

⇒ c²= 260.83

⇒ c= √(260.83)

⇒ c= 16.15 = 16.2(approx)

So, the missing side = 16.2 km

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#SPJ2

k(k + 1)(k + 2) – 3k(k + 1)

Need a step-by-step guide on how to factor this completely

Answers

Answer:

Step-by-step explanation:

k(k+1)(k+2) - 3k(k+1)

k and (k+1) are common to both terms.

k(k+1)(k+2) - 3k(k+1) = k(k+1)[(k+2) - 3] = k(k+1)(k-1)

what does 1 4/9 - 1/2= to?

Answers

find a common denominator
1 4/18 - 1/18 change the numerator
1 8/18 - 9/18
u need to change 1 8/18 to an improper fraction
it would be 26/18 - 9/18
=18/18
which is 1 if u reduce

What is 79.2 divided by 2.55

Answers

79.2 / 2.55 = 31.0588

Select the true statement about triangle ABC.
A. sin A = sin C
B. sin A = cos B
C. sin A = cos C
D. sin A = tan c

Answers

B. Because that the answer I think it is
I believe the answer is B

A right triangle with vertices P(-3,9) Q(-3,5) R(-7,5) is reflected on the y-axis then the image is rotated 180 degrees about the origin. What are the new coordinates of the right triangle?

I cant understand

Answers

It’s b I just answered this

Write the equation of a quadratic function who has the vertex of (4,-7)

Answers

Given:

The vertex of a quadratic function is (4,-7).

To find:

The equation of the quadratic function.

Solution:

The vertex form of a quadratic function is:

[tex]y=a(x-h)^2+k[/tex]          ...(i)

Where a is a constant and (h,k) is vertex.

The vertex is at point (4,-7).

Putting h=4 and k=-7 in (i), we get

[tex]y=a(x-4)^2+(-7)[/tex]

[tex]y=a(x-4)^2-7[/tex]

The required equation of the quadratic function is [tex]y=a(x-4)^2-7[/tex] where, a is a constant.

Putting a=1, we get

[tex]y=(1)(x-4)^2-7[/tex]

[tex]y=(x^2-8x+16)-7[/tex]             [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]

[tex]y=x^2-8x+9[/tex]

Therefore, the required quadratic function is [tex]y=x^2-8x+9[/tex].


A__ function is a function in the form f(x) = ax? + bx+c, where a, b, and care real
numbers and a 70, that will graph as a parabola.

is it

a) quadratic
b) first
c) parabolic
d) second

Answers

The answer is quadratic

Answer this correctly I’ll give brainalist + 10 points

Answers

I’m positive it’s 110 since it’s a little more than a right angle

Answer:that means it d

Step-by-step explanation:

Linda took a math test and got 68 correct answers and 12 incorrect answers. What is the percentage of incorrect answers

Answers

Answer:

Approximately [tex]17.6[/tex] percent

Step-by-step explanation:

To find a percentage, take the part, divide it by the whole, and multiply that quotient by 100. As an algebraic expression, that would be [tex]\frac{part}{whole}*100[/tex].

In this case, the part is [tex]12[/tex] and the whole is [tex]68[/tex]. Therefore, our answer is [tex]\frac{12}{68}*100\approx17.6[/tex] percent. Hope this helps!

Answer: About 17.6%

Step-by-step explanation: "Per" means 100. So, to get a percentage, we can divide the numerator by the denominator then multiply the quotient by 100. Or, you can say it like this: [tex]\frac{Numerator}{Denominator} =quotient*100[/tex]

As we see, 12 is the numerator, and 68 is the denominator. Now, we can divide.

12 ÷ 68 = 0.176

We're not done yet, we'll need to multiply the quotient by 100, as in the formula.

0.176 × 100 = 17.6

Hence, 17.6% is the answer.

Let me know if you have any questions or comments.

~ Lily, from Brainly.

Can someone please help meeeee

Answers

Answer:

45°

Step-by-step explanation:

The angle with measure of 9x and the angle with measure of 3x are supplementary

9x + 3x = 180°

12x = 180 divide both sides by 12

x = 15

The angle with measure of 9x and angle a are supplementary as well

9x + a = 180

9×15 + a = 180

135 + a = 180 subtract 135 ftom both sides

a = 45°

is there estimates that her dinner has 48g of fat in it what percentage of her total daily allowance of fat does her meal contain her total daily allowance of fat is 70 grams ​

Answers

Answer: The meal contains 68.57% of her daily allowance of fat

Step-by-step explanation:

We know that in the dinner, there is a total of 48g of fat.

We also know that her daily dose of fat is 70g, so this will be "the 100%", then we can write:

70g = 100%

Under this point of view, we also can relate the 48g of the dinner to another percentage X%, such that:

48g = X%

Then we have two equations:

48g = X%

70g = 100%

To solve this, we can take the quotient of these two equations to get:

(48g/70g) = (X%/100%)

Now we want to solve this for X%, then we need to isolate X%:

(48g/70g)*100% = X%

68.57% = X%

This means that 48 grams of fat are 68.57% of her daily allowance.

What is the answer to the question
WILL MARK BRAINLYEST ​

Answers

Answer:

10

Step-by-step explanation:

3^3-5^2+8 = 10

Answer:

6

Step-by-step explanation:

Question: What is g³ - h² + 8, when g= 3, h = 5

Substitute the given values

3³ - 5² + 8

Simplify exponents- remember, 3³ = 3 * 3 * 3, and 5² = 5 * 5

27 - 25 + 8

Simplify

-2 + 8 =

6

I hope this helps! Feel free to ask any questions! :)

Martina is baking bread. She mixes 1 and 3/4 cups of flour with other ingredients. Then she adds 4 and 1/2 cups of flour to the mixture. How many cups of flour does she need? Solve this problem any way you choose.

Answers

Answer

First you add the whole numbers 1 + 4 which will be 5First you add the whole numbers 1 + 4 which will be 5Then you add the fractions. To do that you have to make sure that the denominators are the same (in this case they are not). So you multiply the fraction by a number so the denominators can equal each other.First you add the whole numbers 1 + 4 which will be 5Then you add the fractions. To do that you have to make sure that the denominators are the same (in this case they are not). So you multiply the fraction by a number so the denominators can equal each other.1 (4) /2 (4) + 3 (2) / 4 (2)

First you add the whole numbers 1 + 4 which will be 5Then you add the fractions. To do that you have to make sure that the denominators are the same (in this case they are not). So you multiply the fraction by a number so the denominators can equal each other.1 (4) /2 (4) + 3 (2) / 4 (2)

First you add the whole numbers 1 + 4 which will be 5Then you add the fractions. To do that you have to make sure that the denominators are the same (in this case they are not). So you multiply the fraction by a number so the denominators can equal each other.1 (4) /2 (4) + 3 (2) / 4 (2) *always remember to simplify the fractionsFirst you add the whole numbers 1 + 4 which will be 5Then you add the fractions. To do that you have to make sure that the denominators are the same (in this case they are not). So you multiply the fraction by a number so the denominators can equal each other.1 (4) /2 (4) + 3 (2) / 4 (2) *always remember to simplify the fractionsAfter adding the fractions, you just have to add it to the whole number (5)

First you add the whole numbers 1 + 4 which will be 5Then you add the fractions. To do that you have to make sure that the denominators are the same (in this case they are not). So you multiply the fraction by a number so the denominators can equal each other.1 (4) /2 (4) + 3 (2) / 4 (2) *always remember to simplify the fractionsAfter adding the fractions, you just have to add it to the whole number (5)

First you add the whole numbers 1 + 4 which will be 5Then you add the fractions. To do that you have to make sure that the denominators are the same (in this case they are not). So you multiply the fraction by a number so the denominators can equal each other.1 (4) /2 (4) + 3 (2) / 4 (2) *always remember to simplify the fractionsAfter adding the fractions, you just have to add it to the whole number (5)

Hope this helps.

Ahmad made a shirt using 1/4 yards of yellow fabric and 1/8 yards of red fabric. How many more yards of yellow fabric did Ahmad use?​

Answers

Answer: 1/8

Step-by-step explanation:

convert 1/4 to eighths

1/4 x 2 = 2/8

2/8 yellow fabric - 1/8 red fabric = 1/8

Find the length (in centimeters) of a 90° arc in a circle where the diameter measures 70 centimeters.

Answers

Answer:

[tex]\frac{1}{4}[/tex]×2[tex]\pi[/tex]r=17.5[tex]\pi[/tex]

Step-by-step explanation:

3x/5 - 2 = x + 1/3
Solve the equation above for x.

Answers

The answer is x=-35/6
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