A teacher would like to estimate the mean number of steps students take during the school day. To do so, she selects a random sample of 50 students and gives each one a pedometer at the beginning of the school day. They wear the pedometers all day and then return them to her at the end of the school day. From this, she computes the 98% confidence interval for the true mean number of steps students take during the school day to be 8,500 to 10,200. If the teacher had used a 90% confidence interval rather than a 98% confidence interval, what would happen to the width of the interval?

It would increase by 8%.
It would decrease by 8%.
It would increase, but not necessarily by 8%.
It would decrease, but not necessarily by 8%.

Answers

Answer 1

Answer:

It would decrease, but not necessarily by 8%

Answer 2

If the teacher had used a 90% confidence interval rather than a 98% confidence interval, the width of the interval would decrease, but not necessarily by 8%.

Option D is the correct answer.

What is a confidence interval?

A confidence interval is a range of values that is likely to contain the true value of an unknown parameter, such as a population means or proportion, based on a sample of data from that population.

It is a statistical measure of the degree of uncertainty or precision associated with a statistical estimate.

We have,

The width of a confidence interval is determined by the level of confidence and the sample size.

A higher confidence level requires a wider interval, and a larger sample size typically results in a narrower interval.

Since the sample size is fixed in this case, changing the confidence level will result in a change in the width of the interval.

As the confidence level increases, the width of the interval also increases. This is because a higher confidence level requires a larger margin of error, which is added to the point estimate to create the interval.

Therefore,

If the teacher had used a 90% confidence interval rather than a 98% confidence interval, the width of the interval would decrease, but not necessarily by 8%.

Learn more about confidence intervals here:

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Related Questions

can someone help me I’m stuck on this and can’t figure it out

Answers

Answer:

20%

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

19.99 - 3.998(20%) = 15.992 which when rounded is 15.99

What’s the answer ?

Answers

The answer should be D
Last one
Is the correct answer

What is the difference, in meters, between the length of the longest line and the length of the shortest line?

Answers

Answer:

[tex]Range = 3.169m[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

Determine the difference between the shortest and the longest

This question implies that we calculate the range.

[tex]Range = Longest - Shortest[/tex]

From the table, we have:

[tex]Longest = 8.7m[/tex]

[tex]Shortest = 5.531m[/tex]

So, we have:

[tex]Range = 8.7m- 5.531m[/tex]

[tex]Range = 3.169m[/tex]

Can someone plz help me with #2 and #6 plz thank oyu

Answers

Answer:

njbrdjbbgdbjbfjfj

Step-by-step explanation:

Clara visits the aquarium while on vacation. The aquarium is 2 1/2 from her hotel. She walks 1/4 mile to the bus stop, take the bus for 1 3/4 miles, and walks the rest of the way to the aquarium.

Answers

Answer:

1/2

Step-by-step explanation:

which is the simplified form for
2(3a+5)+8(a-1)

a. 20a+10
b. 18a+9
c. 12a+14
d. 14a+2


miku nakano here

Answers

LOL.

2(3a + 5) + 8(a - 1)

= 6a + 10 + 8a - 8

= 6a + 8a + 10 - 8

= 14a + 2

Answer: Choice C. [ 14a + 2 ]

Which transformation carries the parallelogram onto itself?

Answers

rotations this’s the correct answer

Answer: D) a rotation of 180 degrees Clockwise about the center of the parallelogram

Step-by-step explanation:

do perpendicular lines intersect at a 60 degree angle?

Answers

No, they intersect at a 90 degree angle.

Answer:

Perpendicular angles create a 90 degree angle

Step-by-step explanation:

Which values are solutions to the inequality below? Check all that apply.

Answers

Answer:

C. and D.

Step-by-step explanation:

The root of √x is either equal or bigger than 9

What is the sign of −9⋅( 0/-3)

Answers

Answer:

hi

Step-by-step explanation:

sorry

Answer:

0

Step-by-step explanation:

The sine function of 0 is 0.

We got 0 because you multiplied -9 by 0 divided by -3. DIviding by 0 really doesn't have an answer, but it'd most logically be 0.

10 x 10 = ? for easy points

Answers

100! Thanks for the easy points

Answer:

[tex]\huge\mathfrak{Heya\:Mate}[/tex]

[tex]\huge{\boxed{\bold{ANSWER}}}[/tex]

[tex]10 \times 10 \\ = 10^{2} \\ = 100[/tex]

⁺˚*・༓☾✧.* ☽༓・*˚⁺‧

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

How to write the equation for ¨The quotient of x and three increased by 12 is 20. What is x?

Answers

Answer:

x/3 + 12 = 20

Step-by-step explanation:

Please answer and not give me links that make me download a whole bunch of stuff then just turn out to be an inappropriate picture (Yeah that's happened to me twice on here :/)

Answers

Answer:

3

Step-by-step explanation:

12/4=3

6р + 22 – 10
Help me please

Answers

Answer:

P = -2

Step-by-step explanation:

6p +22 =10

     -22    -22

6p= -12

6       6

p=  -2

Im pretty sure thats it.

The origin was used as the center of dilation to dilate quadrilateral ABCD as shown below.




Which algebraic representation best describes the dilation that was applied to quadrilateral ABCD to create quadrilateral A'B'C'D?​

Answers

I am stuck on same one

Answer:

x, y) → (1.5x, 1.5y)

Step-by-step explanation:

PLEASE HURRY ILL GIVE BRAINLIEST Emma is going to invest in an account paying an interest rate of 3.7% compounded continuously. How much would Emma need to invest, to the nearest dollar, for the value of the account to reach $1,130 in 18 years?

Answers

Answer:

581

Step-by-step explanation:

Find the area of the trapezoids

Answers

Answer:

48 square units

Step-by-step explanation:

Each square on the grid is 2 units by 2 units.

Bases: AT = 8; RS = 4

Height: 8

area = (b1 + b2)h/2

area = (8 + 4)(8)/2

area = 48 square units

Answer:

The area of trapezoid is 48 sq units.

Step-by-step explanation:

According to the question,

➻ Trapezoid is consist of many square shapes. Each grid square equals 2 units. We need to find the area of trapezoid.

➻ To find area we need to find the length if base and height of trapezoid.

Calculate the square grids to find base and height. we get.

Base ; SR = 4 units and TA = 8units

Height = 8 units.

Finding the area of trapezoid.

We know that,

Area of trapezoid = ( Base1 + Base2 ) ×Height / 2

plug the values of both base and a height.

Area of trapezoid = ( 4 + 8 ) × 8 / 2

Add the numbers which are in bracket and multiply by 8.

Area of trapezoid = 12 × 8 / 2 = 96/2

Divide 96 by 2.

Area of trapezoid = 48 sq units.

Hence,

The area of trapezoid is 48 sq units.

jsut heklp plkease ive literally beegn sobbing for foirefver

Answers

Answer:

A. Side a is 7 inches long and side b is 6 inches long.

Step-by-step explanation:

a = 21/3 = 7

b = 18/3 = 6

PLS ANSWER THIS AND GET BRAINLIEST !!!
A grocery store collected sales data. It found that when customers buy less bread, they tend to purchase more rice. What can we conclude?


A. There is no correlation between amount of bread bought and amount of rice purchased.

B. There is a correlation between amount of bread bought and amount of rice purchased. However, there is no causation. This is because there is an increase in the amount of rice purchased with a decrease in the amount of bread bought.

C. There is a correlation between amount of bread bought and amount of rice purchased. There may or may not be causation. Further studies would have to be done to determine this.

Answers

Answer:  C

Step-by-step explanation: C because there is obviously a correlation yet we cannot determine if there is causation or not.

Find measure of angle A

Answers

Answer:

angel a is 65 degrees

Step-by-step explanation:

40+2x+10=180

40-40+2x+10-10=180-40-10

2x=130

x=65

checking:

65 + 10 + 40 = 75 + 40 = 115

115+65=180

180=180

find the value of two numbers if their sum is 39 and their difference is 1

Answers

20+19=39

20 is 1 more than 19 making 19 1-less than 20. The difference is 1 between the two numbers

Felicia is solving the expression - 5(3x + 2) + 10x. Gregory is solving the expression -12 - 4x +?+?x.
Both students simplified their answers to get the same expression. What are the values
missing from Gregory's expression?

Answers

Answer:

-5x-10 is the expression. the missing values would be 2 and -x i believe

which value represents the zero of the linear function y=5x-10?
A. -10
B. 10
C. -2
D. 2

Answers

your answer is going to be 10 any negative in a Y=MX+B equation will always turn into a positive
I think the answer is 10

-6,-5,-4,-3,...rule
What is answer ​

Answers

Answer:

[tex]a_{n}[/tex] = n - 7

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence

d = - 5 - (- 6) = - 4 - (- 5) = - 3 - (- 4) = 1

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 6 and d = 1 , then

[tex]a_{n}[/tex] = - 6 + 1 (n - 1) = - 6 + n - 1 = n - 7

Find the slope of the line

Answers

Answer:

2/3

Step-by-step explanation:

Answer:

Slope = -6

Step-by-step explanation:

PLEASE HELP ME I NEED HELP FAST

Answers

Answer: x° = 45°

Steps:

What is the value of x in the equation below?
12 – 2(x-1)=6

Answers

X=25 in this equation. But if u divide by 12 it’s -25
X=-2
You would distribute the -2 and Zoe 1 and 1*-2=-2



A restaurant sells an 8-oz drink for $2.56 and a 12 oz drink for $3.66. Which drink is the better buy? i need help fast :(​

Answers

Answer:

12 oz

Step-by-step explanation:

2.56 ÷ 8 = 0.32 per oz

3.66 ÷ 12= 0.305 per oz

could someone help me with this

Answers

The answer is:

5.7•10^-3

Determine the Y intercept PLEASE HELP!!
X Y
-3 -3
0 -1
3 1

Answers

You are adding two each time
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