A sports marketing company is interested in how many hours teenagers in a town spend watching sports. They randomly select 40 teenagers in this town and ask how many hours per week they spend watching sports. The mean amount is 6.25 hours with a standard deviation of 4.33 hours. Which of the following is the 90% confidence interval for the true mean amount of time teenagers from this town watch sports?

Find the t-table here.

(4.396, 8.104)
(4.865, 7.635)
(5.097, 7.404)
(5.245, 7.256)

Answers

Answer 1

Answer:

(5.097, 7.404)

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 40 - 1 = 39

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 39 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.6849

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.6849\frac{4.33}{\sqrt{40}} = 1.154[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 6.25 - 1.154 = 5.096 hours

The upper end of the interval is the sample mean added to M. So it is 6.25 + 1.154 = 7.404 hours.

The answer is  (5.097, 7.404)


Related Questions

PLEASE PLEASE HELP ME THIS IS DUE VERY SOON I NEED YOUR HELP!

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Answer:

1. (3,-2)

2. (-1, -3)

3. (-4, 5)

4. (2, 5)

Step-by-step explanation:

find the side lengths ! help pls

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(a) the given triangle is a isosceles triangle, therefore the two leg sides will be congruent, as well as the two base angles. It is given that one of the base angles ∠XYW is 70°, therefore, due to the law of a isosceles triangle, the measurement of ∠XWY is also 70°. Remember, a triangle's interior angles add up to 180°, so:

180 - (70 + 70) = 180 - 140 = 40

40° is your answer.

m∠X = 40°

(b) All sides are congruent, making it a equilateral triangle. If it is a equilateral triangle, then all the angles also have the same measurement. The total of the interior angle's measurement is 180°. Divide by the amount of angles, 3:

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60° is your answer.

m∠V = 60°

~

What is the height of a triangular base of a paperweight with a volume of 96 cubic inches, length is 8 in and with is 6 inches?

Answers

Answer:

4 inches

Step-by-step explanation:

Triangular prism formulas

Volume = 0.5 * b * h * length, where b is the length of the base of the triangle, h is the height of the triangle and length is prism length. area = length * (a + b + c) + (2 * base_area) , where a, b, c are sides of the triangle and base_area is the triangular base area.

How to find the height of a triangle - formulas

area = b * l / 2, where b is a base, l - length.

so l = 2 * area / b/w-width.

Solve

1/2 x 6 x 8 x ? = 96

2 x 96 = 192

192/8 = 24

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213=22: Z=14 Select True or False for each equation as is state
O True
O False
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Answers

Truest sense that the world of war in my opinion was gon in my own name in

Find the exact value of x

Answers

Answer:

5

Step-by-step explanation:

the average of 6 members to 2 8 9 x 7 and 12 is 7 find the value of x​

Answers

Answer:

x=(-45)

Step-by-step explanation:

2+8+9+x+7+12=7

38+x=7

x=(-45)

38+(-45)=7

If Jacob's salary of $2,100 per month is increased by 5%, what is her new monthly salary?

Answers

Answer:

2,205

Step-by-step explanation:


Which points on this vertical number line best represent the locations of 2.5 and
A: G and J
B: G and K
C: H and I
D: H and J

Answers

i’m pretty sure the answer is b :)

Does the mapping diagram represent a function? Why or why not?

Answers

Answer:

If I was you I can go

for A because the function name is one to many

ZABD and ZDBC are supplementary angles.
What is the measure of x?
X = [?]
D
126%
AK
> C
B
Angles are not drawn to scale.
Enter

Answers

Answer:

x=154°

Step-by-step explanation:

x+126=180 supplementary

x=180-126=54

When two parallel lines are cut by a transversal, the corresponding angles are
Question 20 options:

A)

not congruent.

B)

congruent.

C)

complementary.

D)

supplementary.

Answers

Answer

B Congruent

Step-by-step explanation:

Corresponding angles are congruent when the lines are parallel

Answer:

B) Congruent

Step-by-step explanation:

Corresponding angles are always equal to each other.

Find the distance on maple street, in miles, from M to P


Answers

Answer:

8

Step-by-step explanation:

Use the right triangle altitude theorem. The three triangles are right triangles and are similar.

MP/FP = FP/EP

MP/12 = 12/(EM + MP)

MP/12 = 12/(10 + MP)

MP(10 + MP) = 144

MP^2 + 10MP - 144 = 0

(MP + 18)(MP - 8) = 0

MP = -18  or  MP = 8

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Answer: 8

three of the exterior angles of an n sided polygon are 50° each, two of its exterior angles are 127°and 135° and the remaining interior angles are 173°each. find the value of n

Answers

Answer:

i think there is something wrong with this problem

Step-by-step explanation:

maximum sum of all exterior angles is 360°

3(50°) = 150

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Find the area of the regular polygon

Answers

Answer:

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Step-by-step explanation:

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Determine whether
25m/
5
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Equivalent
Not equivalent
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252m-1
52m-1

Answers

Answer:

(a) and (b) are not equivalent

(c) is equivalent

Step-by-step explanation:

Given

[tex]\frac{25^m}{5}[/tex]

See attachment for complete question

Required

Determine an equivalent or nonequivalent expression

[tex](a)\ 25^{m-1[/tex]

We have:

[tex]25^{m-1[/tex]

Apply law of indices

[tex]25^{m-1} = \frac{25^m}{25}[/tex]

This is not equivalent to [tex]\frac{25^m}{5}[/tex]

[tex](b)\ 25^{2m - 1}[/tex]

We have:

[tex]25^{2m - 1}[/tex]

Apply law of indices

[tex]25^{2m - 1} = \frac{25^{2m}}{25}[/tex]

This is not equivalent to [tex]\frac{25^m}{5}[/tex]

[tex](c)\ 5^{2m-1}[/tex]

We have:

[tex]5^{2m-1}[/tex]

Apply law of indices

[tex]5^{2m-1} = \frac{5^{2m}}{5^1}[/tex]

[tex]5^{2m-1} = \frac{5^{2m}}{5}[/tex]

Evaluate the numerator

[tex]5^{2m-1} = \frac{25m}{5}[/tex]

This is an equivalent expression

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6/ 56 this is the correct answer

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Answers

Answer:

How can I help you?

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Simplify

Simplify the expression.

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Answer:

the difference of 5 and the cube of the sum of x and y

5 t-shirt cost R120.how much will 9t-shirt cost​

Answers

Answer:

5 t-shirt = 120

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9 t-shirts = 24*9= 216

rs 216

Find a formula for a geometric sequence that begins with 11, -33, 99

Answers

Answer:

17

Step-by-step explanation:

plz help will give crown

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Answer:

C

Step-by-step explanation:

Can I have crown

Find the zeros of the polynomial m2 - 11m + 18.

Answers

Answer:

Step-by-step explanation:

The zeroes are the values of such that

m² - 11m + 18 = 0

Quadratic formula:

m = [11 ± √(11² - 4∘1∘18)]/[2∘1]

= [11 ± √49]/2

= [11 ± 7]/2

= 9, 2

18 is 32% of what number w

Answers

Answer:

56.25

Step-by-step explanation:

100% of 56.25 is 56.25, therefore 32% of 52.25 equals 18

Joey is buying a new flat screen TV for $359.99. Sales tax in Jeoy's state is 8.25%. Calculate the amount of sales tax that Jeoy will pay for the purchase

Answers

Answer: 389.69

Step-by-step explanation:

Answer: $29.70

Step-by-step explanation:

total x tax rate= 359.99 x 8.25 = 2969.92

divide by 100% = $29.70

sales tax total: $29.70

Which of the following statements about rotations are true? Select all that apply.

a. The shape of the figure does not change.

b. The position of the figure does not change.

c. The size of the figure does not change.

d. The orientation of the figure does not change.

e. The coordinates of the figure do not change.

Answers

Answer:

hmmm I guess it has to be e. if I 'm wrong

A quantity with an initial value of 140 decays continuously at a rate of 4% per decade. What is the value of the quantity after 98 years, to the nearest hundredth?
(pls answer)

Answers

9514 1404 393

Answer:

  93.84

Step-by-step explanation:

The exponential function will be of the form ...

  q = a×b^t

where 'a' is the initial quantity and b is the growth factor per time period t.

If we use decades as the time period, then the growth factor is 1 more than the growth rate of -4%. For the initial value 140, the function is ...

  q = 140×(1 -4%)^t

  q = 140×0.96^t

98 years is 9.8 decades, so the quantity q remaining will be ...

  q = 140×0.96^9.8 ≈ 93.84

The quantity remaining will be 93.84 after 98 years.

Answer:

94.6

Step-by-step explanation:

Find the volume of the composite figure.​

Answers

I have no idea have a good day

I need the answer for both of them I’ll give your Brainly help

Answers

Answer:

11. a)50      12. a)40

Step-by-step explanation:

sum of  all three angles of  trinagle=180

so

111.

80+50+x=180

130+x=180

x=180-130

x=50

12.

60+90+x=180

150+x=180

x=190-150

x=40

Answer:

A and C

Step-by-step explanation:

GIVING BRAINLIEST TO FIRST COMPLETE ANSWER
View the work below from a student last year. What was their mistake? Be detailed in their response.
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-3x + 4 = 2x - 5

4 = 5x - 5

9 = 5x

1.8 = x

Answers

Answer:

x = -1.4

Step-by-step explanation:

-3(x + 4) = 2x - 5

-3x + (-3*4) = 2x - 5

The mistake was in the above equation where -3 should be multiplied with 4.

-3x -12 = 2x -5

5 -12 = 2x+3x

-7 = 5x

x = -7/5 = - 1.4

Give the ordered pair of the 3rd Critical point.
Y = 4cos10(x - 12°) +16

Answers

so it would be x12 to the 2nd power, kinda hard to explain but i really hope this helped
12x to the 2nd power hope this helped and a brainliest will hell :)

13. Find the measure of angle ABC. B 8x 6x 6x A С​

Answers

Answer

Angle A = 54 degree

Angle B = 72 degree

Angle C = 54 degree

Explain

It is a triangle, so the total of angle is 180 degree

Find X

8x + 6x + 6x = 180

20x = 180

x = 180/20

x = 9°

Value of x is 9°

Substitute a score of x for every angle =

Angle A

= 6x

= 6(9)

= 54°

Angle B

= 8x

= 8(9)

= 72°

Angle C

= 6x

= 6(9)

= 54°

#LearnWithBrainly

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