How will increasing the level of confidence without changing the sample size affect the width of a confidence interval for a population mean?
Answer:
The width of the confidence interval is going to be wider
Step-by-step explanation:
When we Increase the level of confidence without changing the sample size the width of the confidence interval is going to be affected in the following way;
The margin of error (M.E) is going to be larger or be increased. This increase is due to the fact that the critical value is going to increase. Then the increased margin of error would cause the width of the confidence interval to become wider.
This answers your question.
The mean volume for a bottle of cologne is 4 ounces and the standard deviation is 0.22 ounces. A random sample of 121 bottles is taken. What is the probability of obtaining a sample mean within 0.04 ounces of the population mean?
a. 0.9545
b. 0.0363
c. 0.3085
d. 0.5000
Answer:
The standard error of the mean is 0.02
Step-by-step explanation:
Here, we want to calculate the standard error of the mean.
Mathematically;
standard error of mean = SD/ √n
where SD is the standard deviation and n is the number of samples
From the question, SD = 0.22 and n = 121
Inserting this into the equation
Standard error of the mean = 0.22/√121
= 0.22/11 = 0.02
The probability of obtaining a sample mean is "0.9545".
According to the question,
Mean,
[tex]\mu = 4[/tex]
Standard deviation,
[tex]\sigma = 0.22[/tex]
Random sample,
[tex]n = 121[/tex]
By Central limit theorem,
→ [tex]\bar {x} \sim (4, \frac{0.22}{\sqrt{121} } )[/tex]
[tex]= 0.2[/tex]
Now,
→ [tex]P(|\bar{x} - \mu| \ \alpha \ 0.04) = P(-0.04 \ \alpha \ \bar{x} - \mu \ \alpha \ 0.04)[/tex]
[tex]= P(\frac{-0.04}{0.02} \ \alpha \ z \ \alpha \ \frac{0.04}{0.02} )[/tex]
[tex]= P(-2 \ \alpha \ z \ \alpha \ 2)[/tex]
[tex]= 0.9545[/tex]
Thus the above response i.e., "option a" is appropriate.
Learn more:
https://brainly.com/question/16943601
The chart below contains the results of a survey in which students were asked about their cell phone plan.
Cell Phones Plans
Plan
Students
No cell phone
20
Voice only
14
Voice and texting
12
Voice, texting, and data
4
What percent of the students surveyed have a phone plan with texting?
16%
24%
32%
68%
If you get it right you get the crown brain thing
Answer:
It is option C.
Step-by-step explanation:
I did the test.
Answer:
it c
Step-by-step explanation:
i did the unit test hope this helps :)
Simplify (10x^2− 8x − 1) + (4x^2− 8x − 5).
Answer: 14[tex]x^{2}[/tex] − 16x − 6
please
help i’ve been stuck on
this all day
Answer:
CPB
Step-by-step explanation:
acute is less than 90 degrees and right is 90 degrees and obtuse is over 90 degrees
Answer: The answer is CPB
Yoooo who’s smart I need help in this ASAP
Answer:
3[tex]\sqrt[9]{Z}[/tex]²
Step-by-step explanation:
Expression -
(27[tex]\sqrt[3]{Z}[/tex]²) ^1/3
Transform the expression -
³[tex]\sqrt[3]{27}[/tex][tex]\sqrt[3]{Z}[/tex]²
Simplify - //Note: ignore the ' * '//
3[tex]\sqrt[3]{*}[/tex][tex]\sqrt[3]{z}[/tex]²
Simplify (Again) -
3[tex]\sqrt[9]{Z}[/tex]²
If the simple interest on $3000 for 3 years is $720 , then what is the interest rate?
Answer:
8%
Step-by-step explanation:
Starting Principal: $
3,000.00
Years:
3
Annual Interest Rate:
8
%
Results
Future Value, using...
Simple Interest: $
3,720.00
Annually Compounded Interest: $
3,779.14
The employee e-mail accounts in one company are using a mean of 1.071.071, point, 07 gigabytes of memory with a standard deviation of 0.210.210, point, 21 gigabytes.
Answer:
Mean: 1096 megabytes
Standard deviation: 215 megabytes
Step-by-step explanation:
I got the answer on Khan Academy
A pool drains 5000 gallons of water over the course of 5 hours. How many gallons of water, on average, does the pool drain each hour?
A. -5000 gallons per hour
B. -1000 gallons per hour
C. -100 gallons per hour
D. 1000 gallons per hour
Answer:
D. 1000 gallons per hour
Step-by-step explanation:
5000 / 5 = 1000
Answer: If it drained 5000 gallons and there were 5 hours, then 5000 divided by 5 is 1 so that would be answer D.
Hoped this helped!
2 1/8 and 17/8 are reciprocal numbers. True False
Answer:
False
Step-by-step explanation:
If make 2 1/8 into an improper fraction, it will be 17/8. a reciprocal is a flip of a number, so it is false.
Find the variance for the given data. Round your answer to one more decimal place than the original data.
{12.4, 10.7, 14.5, 10.1, 16.5}
Answer:
5.6864
Step-by-step explanation:
Find the variance for the given data. Round your answer to one more decimal place than the original data.
{12.4, 10.7, 14.5, 10.1, 16.5}
what is the rate and unit rate of 13 inches of snow in 7 hours
Answer:
1 6/7 inches of snow in 1 hour
Step-by-step explanation:
13 divided by 7 is 1 6/7
use approximations to 1 significant figure, estimate the value of
0.482x61.2²÷√98.01
Answer:
182.353745455
Answer:180
Step-by-step explanation:
8.
Andrew has $76.50. Elijah has $94.30. How much more money does Elijah have than
Andrew
Answer:
$17.80Step-by-step explanation:
This is a fairly simple question. All we need to do is find the difference between the two amounts.
$94.30 - $76.50 = $17.80
7. What is the equation of the line that passes through (-1, -4) and (0,5)?
A.) y = 9x + 5 B.) y = 5x + 9 C.) y = -9x + 5 D.) y = -5x + 9 E.) none of these
1
Answer:
A)y=9x+5
Step-by-step explanation:
If x=-1, y=-4,
y=9*-1+5=(-9)+5=-4
If x=0, y=5,
y=9*0+5=5
Three six-sided dice are rolled, one red, one green, one blue. How many ways are there to roll the three dice so that two of the dice have the same value and the other die has a value smaller than the common value on the other two?
Answer:
15
Step-by-step explanation:
Given that:
Three six-sided dices are to be rolled.
The number of ways to have the same value on the two dices is:
{(1,1) ,(2,2) ,(3,3) ,(4,4) , (5, 5 ) ,(6 ,6) } = 6 ways
Thus; the objective is to determine the number of ways to a get smaller value on the third dice while the two other dice have the same value.
To get started:
The number of ways for getting a value smaller than 1 = 0
The number of ways for getting a value smaller than 2 = 1
{i.e. (2,2,1)}
The number of ways for getting a value smaller than 3 = 2
{ i.e. (3,3,1) ,(3,3,2) }
The number of ways for getting a value smaller than 4 = 3
{ i.e. (4,4,1) , (4,4,2), (4,4,3)}
The number of ways for getting a value smaller than 5 = 4
{i.e. (5 ,5,1) ,(5,5,2) ,(5,5,3), (5,5,4)}
The number of ways for getting a value smaller than 6 = 5
{i.e. (6,6,1), (6,6,2), (6,6,3), (6,6,4), (6,6,5) }
Thus, the total number of ways = 0 + 1 + 2 + 3 + 4 + 5 = 15
Therefore, the total number of ways getting the value same on two dices and smaller value on the third dice = 15
Which of the following correctly represents the given data in the problem?
a = 24, g = 48, h = 22, i = 80
a = 22, c = 80, d = 24, i = 48
a = 24, b = 48, c = 22, i = 48
a = 24, c = 48, e = 22, i = 80
Answer:
D
Step-by-step explanation:
100% true
Answer:
It is D
Step-by-step explanation:
Place the following numbers from least to greatest.
4.14, 3.24, 3.14, 4.24
the tax on a purchase of $20 is 1.12. how much will tax be on a purchase of $45.50
Answer:
$ 1,593.75
Step-by-step explanation:
this is the advanced sale calculation if you wan a simple one i can write that in the comments! hope this help you! :D
Solve: C - 20 = 4 - 3c
Need to solve for C
C=___
Answer:
C = 6
Step-by-step explanation:
Here are steps
C - 20 = 4 - 3C
C + 3C = 4 + 20
4C = 24
C = 6
is 0.75 repeating irrational or rational
Answer:
This is a rational decimal and is not a repeating decimal.
Step-by-step explanation:
a water park is designing an incline for guests to boogie board on as shown below
PLEASE HELP
What is 82,199 rounded to the thousands
Answer:
82.20
Step-by-step explanation:
ill give brainliest please help
9. Solve the equation.
4(6 – x) + 4 = 2 (3x + 1) – 6
Answer:
x=3.2
Step-by-step explanation:
4(6 – x) + 4 = 2 (3x + 1) – 6
24 - 4x + 4 = 6x + 2 - 6
28 - 4x = 6x -4
-4x - 6x = - 4 - 28
-10x = - 32
divide both sides
x = 16/5 or x = 3.2
hope this helps :)
A rectangular garden is divided into four sections. Some dimensions are shown in the diagram, and the distance from
point A to point Cis 16 ft.
12 it
8
15 ft
What is the distance from point A to point B in feet?
A. 8ft B.7ft c.9ft D.6ft
Answer:9 ft
Step-by-step explanation:
The requried measure of the AB is given as 7ft. Option B is correct.
What are Pythagorean triplets?In a right-angled triangle, its sides, such as hypotenuse, and perpendicular, and the base is Pythagorean triplets.
Here,
From the diagram, applying Pythagoras' theorem to the right rectangle,
BC² = 15² - 12²
BC² = 81
BC = 9
Now,
AC = 16
AB + BC = 16
AB + 9 = 16
AB = 7 ft
Thus, the requried measure of the AB is given as 7ft. Option B is correct.
Learn more about Pythagorean triplets here:
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#SPJ2
Given C is the midpoint of BD.
Prove: AACB AACD
Reasons
Statements
1. C is the midpoint of BD
1. given
A
2. BC e CD
2.
3. AC e AC
3. reflexive property
4. given
B
С
4.2BCA and 2DCA
are right 25
5.
D
5. all rights are
Complete the two-column proof.
6. AACB = AACD
6. SAS
Answer:definition of midpoint, angle BCA is congruent to angle DCA
The triangles ΔABC and ΔADC are congruent triangles by
a) definition of mid-point
b) measure of ∠ACB = measure of ∠ACD = 90°
What are Congruent Triangles?Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the first triangle be represented as ΔABC
Let the second triangle be represented as ΔADC
Now , the side AC is the common bisector of both the triangles such that
C is the midpoint of BD
So , the measure of side BC = measure of side CD
And , the perpendicular bisector is right angle
So , the measure of ∠ACB = measure of ∠ACD = 90°
And , the measure of AC = measure of AC ( reflexive property )
Therefore , the triangles are congruent by SAS theorem
Hence , the triangles are congruent
To learn more about congruent triangles click :
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PLEASE HELP ILY IF YOU DO
Answer:
who the holy christmas is ily
Step-by-step explanation:
maybe you call your dog that
wait do you have a dog?
anyways
thanks for the points
Find the hypotenuse of a right triangle with a side of 6 and a side of 8.
(ONLY put the number of your answer.) *
Answer:
10 (can't just write a number bcs i couldn't send yoy if i won't write something else)
helpppp it’s my friends birthday