A 98% confidence interval is found to be (32, 42). What is the margin of error?
A. 5
B. 4.9
C. 9.8.
D. 10

A 98% Confidence Interval Is Found To Be (32, 42). What Is The Margin Of Error?A. 5B. 4.9C. 9.8.D. 10

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Just took the exam

Answer 2

Using confidence interval concepts, it is found that the margin of error is 5.

What is a confidence interval?

A confidence interval (CI) is a range of estimates for an unknown parameter in frequentist statistics. A confidence interval has the format (a,b).

The margin of error is half the difference between the two bounds, that is:

M  =  (  b  -  a  )  /  2

In this problem, the interval is (32, 42), hence, and the margin of error is:

M  =  (  42  -  32 )  /  2  =  10  /  2  =  5

Therefore the margin of error is 5.

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Related Questions

At Nick's school, 25% of the 72 sixth-grade students wear either glasses or contact lenses. How many sixth-grade students wear either glasses or contact lenses?​

Answers

Answer:

18 kids

Step-by-step explanation:

72 x .25

18 is 25% or 72

(x+0)(x-3)(x+0)(x+5)

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Answer:

x^2 + 2x - 15

Step-by-step explanation:

(x-3)(x+5) = x^2 + 2x - 15

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Consider the function f(x) = 6 sine (x minus StartFraction pi Over 8 EndFraction) + 8. What transformation results in g(x)6 sine (x minus StartFraction 7 pi Over 16 EndFraction) + 1?

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Translate StartFraction 5 pi Over 16 EndFraction units right and 7 units up.
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Translate StartFraction 5 pi Over 16 EndFraction units right and 7 units down.

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Answer:

C

Step-by-step explanation:

edge correct

Answer:

c

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This symbol means that both sets could have the same elements. (A ⊆ B)
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Step-by-step explanation:

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Answer:

True

Step-by-step explanation:

Lifetimes of AAA batteries are approximately normally distributed. A manufacturer wants to estimate the standard deviation of the lifetimes of the AAA batteries it produces. A random sample of 23 batteries produced by the manufacturer lasted a mean of 10.3 hours with a standard deviation of 2.4 hours. Find a 95% confidence interval for the population standard deviation of the lifetimes of the batteries produced by the manufacturer.

Answers

Answer:

95% confidence interval for the population standard deviation of the lifetimes of the batteries produced by the manufacturer.

(8.889, 11.7106)

Step-by-step explanation:

Step(i):-

Given sample size 'n' = 23

Mean of the sample x⁻ = 10.3

Standard deviation of the sample (s) = 2.4

Level of significance = 0.05

Degrees of freedom = n-1 = 23-1 =22

Step(ii):-

95% confidence interval for the population standard deviation of the lifetimes of the batteries produced by the manufacturer.

[tex](x^{-} - t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } , x^{-} +t_{\frac{\alpha }{2} } \frac{S}{\sqrt{n} } )[/tex]

[tex](10.3 - t_{\frac{0.05}{2} } \frac{2.4}{\sqrt{23} } , 10.3 +t_{\frac{0.05}{2} } \frac{2.4}{\sqrt{23} } )[/tex]

(10.3 -  2.8188 (0.50043) , 10.3 + 2.8188(0.50043)

(10.3-1.4106 , 10.3+1.4106)

(8.889, 11.7106)

final answer:-

95% confidence interval for the population standard deviation of the lifetimes of the batteries produced by the manufacturer.

(8.889, 11.7106)

. Beth is making gingerbread men. She uses 2 raisins for eyes and 3 raisins for buttons for each gingerbread man. She buys 4 boxes of raisins, each with 120 raisins in it. How many dozens of gingerbread men can she make​

Answers

i think the answer is Beth can make 8 dozen gingerbread men

The number of gingerbreads that Beth can be made from 4 boxes of raisins is 8 dozens.

What is Proportion?

Proportions are mathematical statements where two or more ratios are made to be equivalent to each other.

Number of raisins Beth uses for one gingerbread man = 2 raisins for eyes and 3 raisins for buttons.

Number of raisins used for 1 gingerbread man = 2 + 3 = 5 raisins

Beth buys 4 boxes of raisins, each with 120 raisins in it.

Total number of raisins Beth bought = 4 × 120 = 480 raisins

So, 1 gingerbread can be made from 5 raisins.

Let x be the number of gingerbreads made from 480 raisins.

Using proportion,

1 : 5 = x : 480

1 / 5 = x / 480

Applying cross multiplication,

5x = 480

x = 480 / 5

x = 96

96 gingerbreads or 96/12 = 8 dozens of gingerbread can be made.

Hence 8 dozens of gingerbreads can be made from 4 boxes of raisins.

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Step-by-step explanation: The point where the two graphed lines cross is where the values are equal.

The Drone has been hovering at 20 feet between 2 and 5 seconds. The Rocket passed through that height for a brief (millisecond) time as it was falling back to the ground.

Without grid lines it is my best estimation (using a ruler to create a verticla line from the intersection of the lines to the time scale) that t = 4.25. It is between 4 and 4.5 seconds.

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Answers

We are given the expression:

√-3 * √-27

__________________________________________________________

Explaining the concept:

We know that:

√ab = √a * √b

Using this concept, we will simplify the given expression and solve it

__________________________________________________________

Simplifying the expression:

√-3 * √-27

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Step-by-step explanation:

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Step-by-step explanation:

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Carissa has a fish tank that can hold up to 50 gallons of water but it is leaking at a constant rate. When Carissa first notices the leak, the tank has 40 gallons of water. Two hours later the tank has 30 gallons. At what rate is the water leaking? Use a signed number, and include the unit of measurement in your answer.​

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Step-by-step explanation:

Suppose that Algeria has a workforce of 9,416,534, each of whom earns an average annual salary of (equivalent US dollars) $6,844. If the Algerian government wishes to raise $9 billion in tax revenue, approximately where should it set the income tax rate?
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Answers

Answer:

its B on e2020

Step-by-step explanation:

14%

If the Algerian government wishes to raise $9 billion in tax revenue, income tax rate should be 14%.

What should the income tax rate be?

Income tax is a form of tax levied on the income of labor by the government. Income tax reduces the income earned by labor.

In order to determine the income tax rate, take the following steps:

Determine the total income of the workforce: 9,416,534 x $6,844 = 64.45 billion

Now, divide the desired tax revenue by the total income: (9 billion / 64.45 billion)  x 100 = 14%

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

[tex]\frac{33}{20}[/tex]

Hope this helps!

-2(3x+5y)=10 in slope intercept form

Answers

Answer:

The equation in the slope-intercept form is:

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Step-by-step explanation:

Given the equation

[tex]-2(3x+5y)=10[/tex]

We know that the slope-intercept form of a line equation is

[tex]y = mx+b[/tex]

where

m is the slope b is the y-intercept

Writing the equation in slope-intercept form

-2(3x+5y)=10

-6x -10y = 10

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Thus, the equation in the slope-intercept form is:

y = -3/5x - 1

2 (t + 1) = 10
SOLVE FOR T

Answers

t = 4

divide each term by 2 and simplify

2(t+1)/2 = 10/2

t+1 = 10/2

t+1=5

t=5-1

t=4
2 (t+1) = 10

distribute the 2
2t+2=10

subtract the 2 over
2t=8

divide the 2
t=4

hope this helped!

Identify the type of sequence shown and select the appropriate response.
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A) Geometric sequence, common ratio is 6
B) Geometric sequence, common ratio is 20
C) Arithmetic sequence, common difference is 6
D) Arithmetic sequence, common difference is 20​

Answers

Answer:

the answer is A

Step-by-step explanation:

if you multiple 6 to 4 you get 24. if you multiple 24 to 6 you get 144. if you multiple 144 to 6 you get 864.

Betty tabulated the miles-per-gallon values for her car as 26.5, 28, 30.2, 29.6, 32.3, and 24.7. The sample standard deviation is 2.728. The driver’s manual for Betty’s car lists the mpg for her car as 25. t equals fraction numerator x with bar on top minus mu over denominator begin display style beveled fraction numerator s over denominator square root of n end fraction end style end fraction The t test statistic for a two-sided test would be __________.

Answers

Answer:

3.188

Step-by-step explanation:

Given that :

Sample data: 26.5, 28, 30.2, 29.6, 32.3, 24.7

Sample standard deviation (s) = 2.728

Mean (mu) = 25

Tstatistic formula :

(x - mu) / (s/sqrt(n))

n = sample size = 6 ; s = 2.728 ; mu = 25

Sample mean (x) = (26.5 + 28 + 30.2 + 29.6 + 32.3 + 24.7) / 6

Sample mean (x) = 171.3 / 6 = 28.55

Tstatistic = (28.55 - 25) / (2.728 / sqrt(6))

Tstatistic = 3.55 / 1.1137013

Tstatistic = 3.1875692

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