6.2 Margin of error and the confidence interval. A study of stress on the campus of your university using the College Undergraduate Stress Scale (CUSS) reported an average stress level of 1123 (a higher score indicating more stress) with a margin of error of 43 for 95% confidence. The study was based on a random sample of 400 undergraduates. a. Give the 95% confidence interval. b. If you wanted 99% confidence for the same study, would your margin of error be greater than, equal to, or less than 43

Answers

Answer 1

Using confidence interval concepts, it is found that:

a. The 95% confidence interval is (1080, 1166).

b. The margin of error would be greater than 43.

Item a:

The interval is the sample mean plus/minus the margin of error, hence:

[tex]1123 - 43 = 1080[/tex]

[tex]1123 + 43 = 1166[/tex]

The 95% confidence interval is (1080, 1166).

Item b:

The margin of error is direct proportional to the critical value.The higher the confidence level, the higher the critical value, and thus, the higher the margin of error.

Hence: The margin of error would be greater than 43.

A similar problem is given at https://brainly.com/question/25675821


Related Questions

here's my question. ​

Answers

Answer:

use reciprocal

Step-by-step explanation:

How many odd numbers from 2000 and 6666 (including 2000 and 6666 itself) that all the numbers are different?

Answers

Answer:

That's is not Different

Step-by-step explanation:

Including to 2000 and 6666 itself is not Different

Answer:
That is not different

Quadrilateral BCHS is a parallelogram with diagonal BH

intersecting diagonal CS at P.

angle BCH = 3x-3.86

angle CHS = 2x+6.58

Find the measure of angle HSB

Answers

Answer:

Step-by-step explanation:

HSB will equal BCH

The four internal angles of a parallelogram sum to 360°

Opposite internal angles are equal.

2(3x - 3.86) + 2(2x + 6.58) = 360

6x - 7.72 + 4x + 13.16 = 360

10x = 354.56

x = 35.456

HSB = (3(35.456) - 3.86) = 102.508°

need some help with these!!

Answers

The answer is 24

Explanation: just divide by 2
It is C. 24

Because triangle A is double the size of triangle D

32/2 =16
40/2 = 20

48/2 = 24

There are 12 girls and 8 boys in Ms. Crabapple's class. If 25% of the girls and 25% of the boys are going on a field trip to a nuclear power plant, what percent of the entire class is going on the field trip?

Answers

Answer:

25%

Step-by-step explanation:

25% of 12 is 3

25% of 8 is 2

5 people out of 20 people

5/20 = 25%

25% percent of the entire class is going on the field trip

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given,

There are 12 girls and 8 boys in Ms. Crabapple's class.

The total number of students

12+8=20

25% of the girls and 25% of the boys are going on a field trip to a nuclear power plant,

25% of the girls =0.25×12=3

25% of the boys =0.25×8=2

So the total number of students went to field trip

3+2=5

So out of 20 student, 5 students went to the field trip.

Which means 25% of the entire class is going on the field trip

Hence, 25% percent of the entire class is going on the field trip

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ2

Can anyone help me with this one asap? Thanks in advance.

Answers

The answer to your question is in the image above.

PLEASE HURRY!! (No links)

Solve the inequality

−2 (k − 5) < −2k + 2

Answers

Answer: simplify 0<-8 no solution

Step-by-step explanation:

an alloy is 70% iron. How much of this alloy do you need if you want to obtain 50.35 lb of iron?

Answers

Answer:

1007/20

Step-by-step explanation:

You helped me so i help you. Here you go my friends sorry i dont have an explanation. Good luck !

Use proportions.  X is what you want.

70      50.35lb

__  =   _____

100          x

Cross multiply to get 70x = 5035

Solve to get about 71.93 lbs of the alloy.

In the figure, a || b || c. Find the value of m<1 + m<2 + m<3 + m<4 + m<5.
(A). 360°
(B). 180°
(C). 270°
(D). Cannot be determined

Answers

Answer:

The answer is D cannot be determined

Step-by-step explanation:

this is because you don't have enough information

There is a puddle 1.4 cm deep in your backyard. After one minute of rain, the puddle was 1.45 cm deep. The puddle was 1.5 cm deep after it rained for two minutes. If the pattern continues, how deep will the puddle be after it rains for 45 min?

Answers

Answer:

I know answer. give me money I will tell everything..

how many feet in 13 miles, 176 yards?

Answers

69,168

Cause:

1 mile = 5280 ft
13 miles · 5280 ft = 68,640 ft

1 yd = 3 ft
176 yds · 3 ft = 528 ft

Maria finds a local gym that advertises 44 training sessions for $1393. Find the cost of 136 training sessions.

Answers

Answer:

$4305.60

Step-by-step explanation:

1393 divided by 44 = 31.6590909

that's how much for one training session

so to find the pay for 136 sessions you need to do 31.6590909 x 136

which is 4305.63636

if you round that, you get $4305.60


Sue can ride her bike 14 km/hr faster than she can walk. It takes 17.5 min longer to walk 2.5 km
than to ride. Find Sue's walking speed.

Answers

Answer:

6 km/hr

Step-by-step explanation:

Sue can ride her bike 14 km/hr faster than she can walk. So for each step, add 14 km/hr.

Solve

[tex]-17.5r^2-245r+2100=0 \\\\r^2+14r-120=0 \\\\(r-6)(r+20)=0\\\\[/tex]

Therefore, it is 6.

pls help me right now! and answer correctly​

Answers

Answer:

8.a 9.d 10.a 11.b

Step-by-step explanation:

this is multiple one .so no steps

Mr. Haynes wants to expand his rectangular living room to make room for an indoor theater system. He asks the contractor to make the width of the room 5 feet longer and he wants the length of the room to be 5 feet longer than twice the width. When finished the new room will have a perimeter of 140ft around. The new dimensions of the room will be

Answers

Step-by-step explanation:

check the image for detailed solution

Please help! Asap.
I suck at this.
I need to find y

Answers

180 = x + y + 90

x = 180 - 115
x = 65

180 = 65 + 90 + y
180 - 65 - 90 = y
25 = y

Answer:

y° = 25°

Step-by-step explanation:

Given the diagram of a triangle, where it shows an exterior angle with a measure of ∠115°, and that an angle bisector bisects the triangle into two right triangles.  

According to the Exterior Angle Theorem, the measure of the exterior angle is equal to the sum of the measures of two non-adjacent interior angles.  In other words, the given exterior angle, m∠115° is equal to m∠y° + m∠90°.

Solve for y:

Hence, we could simply solve for the value of y algebraically:

m∠y° + m∠90° = m∠115°

y° + 90° = 115°

Subtract 90° from both sides:

y° + 90° - 90° = 115° - 90°

y° = 25°

Double-check:

Verify whether we have the correct value for y by solving for x:

Since the exterior angle, ∠115°, and ∠x° are supplements, then it means that:

m∠115° + m∠x° = 180°

115° + x° = 180°

Subtract 115° from both sides:

115°- 115° + x° = 180° - 115°

x = 65°

According to the Triangle Sum Theorem, the sum of the measures of the interior angles of a triangle is 180°.

Hence:

m∠x° + m∠y° + m∠90° = 180°

65° + 25° + 90° = 180°

180° = 180° (True statement).

Therefore, the correct answer is: y = 25°. This measure represents either one of the ∠y.

what number is its own opposite?

Answers

Answer:

0

Step-by-step explanation:

what number is its own oppositie?

The number 0 is the only number that is its own opposite.

please help me with this sum I will mark you as brainest​

Answers

Answer:

6/8 × 6 = 9/22/5 × 4 = 8/59/3 × 9 = 277/4 × 8 = 148/6 × 2 = 8/34/9 × 7 = 28/93/8 × 3 = 9/87/2 × 4 = 146/3 × 6 = 12 8/9 × 3 = 8/3

Hope It's Help


The original quantity is 10 and the new quantity
is 13. What is the percent change? Is it an
increase or decree?









Answers

Answer:

30 %

Step-by-step explanation:

Assumption: the increase is to be expressed as a percentage of 10.

We change from 10 to 13 so the increase is 3 We now need to change this into a percentage.

In fraction form we have increase Original value → 3 10 But we need to change this into the form some number 100 Let the unknown value be x giving: 3 10 ≡ some number 100 = x 100 To change the 10 from 3 10 into 100 we multiply by 10 Multiply by 1 and you do not change the value.

However, 1 comes in many forms.

3 10 × 1 = 3 10 × 10 10 = 30 100 This is the same as 30 × 1 100 but 1 100 is the same as %.

So 30 100 → 30 %

Find the average of the following numbers: 55.1, 67.9, 59.2, 64.1, 61.8, 62.7. Round
your answer to one decimal place *
Your answer

Answers

Answer:

61.8

Step-by-step explanation:

[tex] \frac{55.1 + 67.9 + 59.2 + 64.1 + 61.8 + 62.7}{6} [/tex]

61.8 is the answer to 55.5 576

HELP ME PLEASE !!!!!!!!

Answers

the picture is black and i can’t see the question, maybe reupload the question??

calculate each angle measure.

Answers

Answer:

m1=90

m2=68

m3=112

m4=112

m5=68

m6=56

m7=124

m8=124

help ASAP DUE in 10 minutes do not spam or you will get reported A farmer wants to increase the area of his rectangular pen but keep the pen a rectangular shape. He decides to add 5.7 yards of fencing to the width of the pen, but the length will remain 9.5 yards. The new area will be 77.9 square yards.​

Answers

Answer:

The one you have selected is correct. 9.5(w+5.7)=77.9

Step-by-step explanation:

Area is length x width, but the length is the same. So, the 9.5 is not in the parentheses. The existing width (w) is having 5.7 yards added on before being multiplied for area calculations. Because of the order of operations, (w+5.7) must be in parentheses so it is done before multiplication.

Answer:

9.5(w+5.7)=77.9

Step-by-step explanation:

took the test

4. How long would it take sound waves traveling through air that is 68°F to
travel 1,372 meters? Use an equation to solve the problem.

Answers

Answer:

2.7 seconds

Step-by-step explanation:

[] Temp of air: 68°F -> 20°C

[] Velocity of sound in air:

[tex]v=331.3\sqrt{1+\frac{T}{273.15} }[/tex]

[tex]v=331.3\sqrt{1+\frac{68}{273.15} }[/tex]

v ≈ 370.25 m/s

[] Last,

t = [tex]\frac{d}{v}[/tex]

t = [tex]\frac{1,372}{370.25}[/tex]

t ≈ 3.7056 ≈ 2.7 seconds

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

The graph below represents the function f(x) and the translated function g(x).
AVA
2x
/g(x)
a
If f(x) = x, which of the following functions could be an algebraic representation of g(x)?

Answers

Answer:

letter A.g(x)=x2+b that's the answer cause g(x) is in the positive

if 1 dollar equals 0.72p what is the exchange rate from pounds to dollars

Answers

Answer:

1 pound = 1.389 dollars  ( to nearest thousandth)

Step-by-step explanation:

1 pound = 1/0.72 =  1.388888...

The question is asking for what 1 pound is in dollars based on the ratio.

0.72p is equal to 72/100 pounds.
On the left is dollars and the right is the pounds
1 = 72/100

Multiply both sides by 100 as we want the right side to equal 1
100 = 72

Divide both sides by 72 to get 1 (pound) on the right

100/72 = 1

This means that the answer is:
1 pound is equal 100/72 or 1.38888888…. Dollars

ratio 12:30 in the form 1:n

Answers

Answer:
1:2.5

Step by step explanation:
12:30
÷ by 12 each side
= 1:2.5

Hope this helps!

HURRY!
Which of the following is a geometric sequence?
1, 2, 4, 6, 8, 10, ..
-1, 0, 1, 2, 3, ...
2, -2, 2, -2, 2, -2, ...
5, 3, 1, -1, -3, ...

Answers

Answer:

C

Step-by-step explanation:

In a geometric sequence there is a common ratio. The common ratio is a number that you multiply each number of the sequence to get the next number.

A.

1, 2, 4, 6, 8, 10, ...

2/1 = 2

4/2 = 2

It looks like the common ratio is 2, but try the next division: 6/4 = 3/2

It is not 2, so there is no common ratio, and this is not a geometric sequence.

B.

-1, 0, 1, 2, 3, ...

0/-1 = 0

1/0 = undefined

There is no common ratio.

C.

-2/2 = -1

2/(-2) = -1

-2/2 = -1

The common ratio is -1.

This is a geometric sequence.

D.

3/5 = 3/5

1/3 = 1/3

No common ratio.

Answer: C

SLOVE I GIVE BRAINLEST
18+ -27

A. -45

B. -9

C. 9

D. 48

Answers

Answer:

B: -9

Step-by-step explanation:

When you add a negative number, you subtract that number.

[tex]18+-27=18-27=-9[/tex]

18 + -27
= 18-27
= - 9
Answer will be B

I'm DJ music is my hobbies what about you:)​

Answers

Answer:

Playing video games or sumthin

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