A random sample of 144 observations has a mean of 20. The population standard deviation is known to equal 4.8. The 95.44% confidence interval for the population mean is

Answers

Answer 1

Answer:

The population mean is 19.2 to 20.8.

Step-by-step explanation:

The formula of Confidence interval is

CI = mean ± z*[tex]\frac{s}{\sqrt{n} }[/tex]

where

n = sample size

s  = Population standard deviation.

mean = Sample mean

z(α/2) = Two tailed z-value for significance level of .

Given : Confidence level = 95.44% = 0.9544

Significance level =  α = 1-0.9544 = 0.0456

Now we Use standard z-value table  

z-value for Significance level of 0.0456 :

z(α/2) = z(0.0228) = 1.99 = 2(approximately)

And we are given

n=144

s = 4.8

mean = 20

so the required Confidence interval is

CI = 20± 2*[tex]\frac{4.8}{\sqrt{144} }[/tex]

     = 20 ± 2*[tex]\frac{4.8}{12}[/tex]

      = 20 ± (0.8)

      = (20-0.8, 20+0.8 )

       = (19.2 , 20.8)

Therefore the 95.44% CI value  for the population mean of 20 is 19.2 to 20.8.


Related Questions

please help asap!! im on a time limit geomtry

Answers

Answer:

[tex]B.\ TE\ congruent\ to\ EN[/tex]

Step-by-step explanation:

[tex]As\ we\ know\ that,\\A\ median\ bisects\ the\ base\ side\ of\ a\ triangle.\\Hence,\\As\ AE\ is\ the\ median\ in\ this\ case,\\it\ bisects\ TN\ into\ congruent\ sides\ TE\ and\ EN.\\Hence,\\TE\ congruent\ to\ EN\\[/tex]

Translate the phrase "2 times the sum of −3 and m" into an algebraic expression.

Answers

The algebraic expression of the phrase "2 times the sum of −3 and m" is 2(-3+m)

Given,

The expression

"2 times the sum of −3 and m"

We know algebraic expression is the expression which consist of variables and constants with the algebraic operation.

Here,

2 times the sum of -3 and m

sum of -3 and m = -3+m

2 times the sum of -3 and m = 2×(-3+m)

The algebraic expression is 2(-3+m)

Hence, The algebraic expression of the phrase "2 times the sum of −3 and m" is 2(-3+m)

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Divide 3 over 4 ÷ 1 over 8 = ____. Numerical Answers Expected! Answer for Blank 1:

Answers

Answer:

0.09375

Step-by-step explanation:

brainest plz

Need some help with this!

Answers

Answer:

x = ?

Step-by-step explanation:

2
1. Vyjadrite v percentách: a) 0,08
60
b)
100
c)
5
2. Vypočítaj 1% z týchto čísel :a) 1 320 litrov; b) 80 kg
3. Zo 650 žiakov školy malo čisté jednotky 52 žiakov. Koľko je to percent ?
4. Vypočítaj : a) 12% z 2500 km
b) 76% z 24 cm
5. Koľko %je : a) 72 zo 400
b) 18 min z 1 hod (1hod. = 60min.)
6. Vypočítaj základ, ak 35%je 525
7. Playstation zlacnelo o 25% Jeho pôvodná cena bola 500 € Aká je jeho nová cena ?
8. Hokejový brankár chytil počas jedného zápasu 36 striel, čo je 90% všetkých striel
vystrelených na bránku.
a) Kolkokrát hráči vystrelili na bránku?
b) Kolko gólov dostal?
BONUSOVA ULOHA​

Answers

Answer:

5

Step-by-step explanation:

What is the slope of the line shown below?
A. -1/4 B.1/4
C. 4
D.-4
I

Answers

Answer:

D -4

Step-by-step explanation:

rise over run rise=-12 run= 3 - 12/3 simplified is -4

Answer:

4

Step by step

you move 12 spots to get to 8 from -4 and 3 to get from -1 to 2 then you do 12/3

tony earns $45 for walking 5 dogs. how much would he earn for each dog​

Answers

Answer:

9 dollars per dog

Step-by-step explanation:

45/5=9

you divide to find the unit rate per 1 dog walked.

On a coordinate plane, 2 lines intersect at (negative 2, negative 5). What point appears to be the solution to the system of equations shown in the graph? ( , )

Answers

Answer:

We conclude that the point of intersection i.e (x, y) = (-2, -5) will appear to be the solution to the system of equations.

Step-by-step explanation:

We know that when two lines meet or intersect at a point in the coordinate plane, the point where they meet is called the point of intersection.

The point of intersection is termed as the solution of the system of equations on a coordinate plane.

Given that the two lines intersect at (-2, -5)

In other words,

at x = -2, y = -5

Thus, the point of intersection = (x, y) = (-2, -5)

Thus, we conclude that the point of intersection i.e (x, y) = (-2, -5) will appear to be the solution to the system of equations.

Answer: -2,-5

Step-by-step explanation: I got it right on edge

Triangle IHJ is similar to triangle RST.



What is the length of side RT?

Answers

Answer:

Length of RT =  6 mm

Step-by-step explanation:

When the triangles are similar the ratio of corresponding sides are equal.

In given triangles we have ( we can take ratio of two sides also)

[tex]\frac{JI}{RT}=\frac{HI}{SR}[/tex]

We need to find length of RT = x

While length of JI= 8 mm

Length of HI = 12 mm

Length of SR = 9 mm

Putting values in formula and finding length of RT

[tex]\frac{8}{x}=\frac{12}{9} \\Cross\:Multiply\\9\times 8= 12\times 8\\72=12x\\x=\frac{72}{12}\\x=6\:mm[/tex]

So, Length of RT = x = 6 mm

How many laps would 50 miles be on a 1/2 mile track?

Answers

Answer:

100

Step-by-step explanation:

Multiply 50 by 2

There are 234 pieces of candy in 9 bags of candy. If there are the same amount of pieces of candy in each bag, how many total pieces of candy are in 5 bags?

Answers

Answer:

130 pieces of candy in 5 bags

Step-by-step explanation:

234/9 equals 26, that means there would be 26 pieces of candy in 9 bags, therefore 26x5 equals 130, and just to make sure, divide 130/26 to check if its wrong, but it should be 130. :) hope this helps you out!

_1. Which of the following is equivalent to 3x - 4y = 6?

Answers

U didn’t give the choices

I NEED HELP ASAP PLEASE AND THANKS.

Answers

Answer:

b=320; slope=-30

Step-by-step explanation:

if you look along the y-axis find the spot that the line intercepts and then that's b

now for the slope

find two points on the line, i chose(8 , 120) and (4 , 240)  

use the slope formula: y2-y1 over x2-x1

240-120=120 and 4-8= -4

so the slope is 120/-4 and that can be simplified to 30/-1 or -30

What is an integer between -5. And -6

Answers

Answer:

There isn't one!

Step-by-step explanation:

Integers are numbers with no fractional or decimal part. There is no non-fractional or decimal number between two consecutive integers, so the answer is there isn't one!

Please help see the attached photo above

Answers

3x - 6 + x - 10 = 180

Combine like terms

4x -16 = 180

Add 16

4x = 196

Divide by 4

X = 49

.
If each 10 x 10 unit square represents one whole, then what
percent is represented by the shaded region?
. In the model above, 25% represents a quantity of 10
students. How many students does the shaded region
represent?

Answers

Answer: 125% and 50 students.


Which shows two products that both result in positive values?
(0.5)(-0.4) and (1,2)(-0,8)
(-0,5)(-0.4) and (1,2)(-0,8)
(0,5)(0.4) and (-1,2)(-0,8)
(0,5)(-0,4) and (1,2)(0,8)

Answers

Answer: A is the answer

Step-by-step explanation:

A store bought an airplane poster and marked it up 100% from the
original cost of $5. Later on, Isabella purchased the airplane poster
and paid 10% sales tax. How much, including tax, did she pay for the
airplane poster?

Answers

She paid 11 dollars total

Step-by-step explanation:

100% of $5 is $10

10% of $10 is $1

10 + 1 = 11


Please please help me!!!

Answers

Answer:

✔️The correct system of linear equations:

2x + 3y = 34

3x + 2y = 36

Cost of each roast beef sandwich: $8

Cost of each turkey sandwich: $6

Step-by-step explanation:

Cost of each roast beef sandwich = x

Cost of each turkey sandwich = y

First platter consists of:

2 roast beef sandwiches, which costs 2 × x = 2x, and,

3 turkey sandwiches, which costs 3 × y = 3y.

Total cost of first platter is $34.

Thus, an equation that represents this scenario would be:

2x + 3y = 34.

The other platter consists of:

3 roast beef sandwiches, which costs 3 × x = 3x, and,

2 turkey sandwiches, which costs 2 × y = 2y.

Total cost is $36.

Thus, an equation that represents this scenario would be:

3x + 2y = 36.

The correct system of linear equations would be:

2x + 3y = 34

3x + 2y = 36

Find the value of x and y by solving simultaneously.

Thus:

2x + 3y = 34 ----› Eqn. 1 × 2

3x + 2y = 36 ----› Eqn. 2 × 3

4x + 6y = 68

9x + 6y = 108

Subtract

-5x = - 40

Divide both sides by -5

x = 8

Cost of each roast beef sandwich = x = $8

Substitute x = 8 into eqn. 1.

2x + 3y = 34 ----› Eqn.

2(8) + 3y = 34

16 + 3y = 34

3y = 34 - 16

3y = 18

Divide both sides by 3

y = 6

Cost of each turkey sandwich = y = $6

PLEASE HELP
Find the unit rate.
12 slices from 2 cakes =

Answers

Answer:

1 cake 6 slice

Step-by-step explanation:

just divide

12/2=6

n the middle of a game, Dawn has a score of -17. At the end of the game, Dawn’s score increases by 21. What is Dawn’s score at the end of the game? Show your work.

Answers

Answer: Dawn's score is 4

Answer: 4

brainlist pls???

Step-by-step explanation:

7-21=14

14-10=4

Jake solved an equation, as shown.
Step
1
2
3
4
5
+ cor
Statement
x + 7 = 15
x + 7 - 7 = 15
x = 15
32= 3.15
2=45
Which statement is true?
OA Jake made a mistake in step 2.
OB. Jake made a mistake in step 4.
OC. Jake made a mistake in step 5.
OD. Jake solved the equation correctly.

Answers

Two equal expressions combine to make an equation. Jake made a mistake in step 2 and the value of x is 24. The right answer is A.

When two equal expressions are added together with the aid of the equal sign "=," an equation is created.

You may find the solution to the given equation 1/3x + 7 = 15 as shown below.

1/3x + 7 = 15

Subtract 7 from both sides of the given equation

=> 1/3x + 7 - 7

=15 - 7.

1/3x = 8

Multiply both sides of the given equation by 3,

3 x 1/3x = 3 X 8.

x = 24

Hence, X has a value of 24. Jake also erred on the second step.

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Answer:

my boi jake made a mistake at step 2

Step-by-step explanation:

Use the graph to find the slope.

Answers

-1/2 (i need 20 letters so fkfjfjfkwodldlkenfnnndl)

PLZ HELP WILL GIVE BRAINLEST

Answers

B....................

5 over 7 converted into a decimal

Answers

Answer: 5/7=0.(714285)

Step-by-step explanation:

[tex]\displaystyle\\\frac{5}{7}=0.(714285)[/tex]

which equation is equivalent to 10 = 3/2 (2x +4)

a. 10 = 3x +2
b . 10 = 3x + 4
c. 10 = 3x + 6
d. 10 = 3x + 12

Answers

Answer:

A

Step-by-step explanation:

Answer:

C. 10 = 3x + 6

Step-by-step explanation:

10 = 3/2 (2x + 4)

becomes

10 = 3x + 6

In a sample of 80 Americans, 55% wished that they were rich. In a sample of 90
Europeans, 45% wished that they were rich.
a) At a = 0.01, is there difference in the proportions?
b) Find the 99% confidence interval for the differences of the two proportions

Answers

Answer:

hjgkulihjoj;l

Step-by-step explanation:

use a decimal number to describe the shaded amount

5 out of 10

Answers

Answer:

0.5 i believe

Step-by-step explanation:

Answer:

answer:

0.5

Step-by-step explanation:

hope it helps

Help 66 points show your work and I’m giving brainliest

Answers

Based on the calculations on the given expressions, the correct answers are as follows:

Expression = -5.Quotient = 60/12.x = 48.Expression = 13/20.Prime factorization of 64 = 2⁶.Factors of 100 = 1, 2, 4, 5, 10, 20, 25, 50, and 100.The graph of x = 3.5 is shown in the image attached below.Number of bags = 5 bags.Expression = 100.

What is an expression?

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

How to evaluate the given expression?

When x = 6, we have:

Expression = 9 + x + 5 - 20

Expression = 9 + 6 + 5 - 20

Expression = 15 - 20

Expression = -5.

What is quotient?

Quotient can be defined as a mathematical expression that is simply used to represent the division of a number by another number.

How to interpret and simplify the word problem?

The quotient of 60 and 12:

Quotient = 60/12

How to solve the given equation?

x/12 = 4

Cross-multiplying, we have:

x = 12 × 4

x = 48.

How to evaluate the given expression?

1/20 + 3/5 =

Lowest common multiple (LCM) = 20;

(1 + 12)/20 = 13/20.

How to write the prime factorization of 64?

Factors of 64 = 1, 2, 4, 6, 8, 16, and 32

Prime factorization of 64 = 2 × 2 × 2 × 2 × 2 × 2 = 2⁶.

What are factors?

Factors can be defined as the fundamental building blocks of a number. This ultimately implies that, factors refers to numbers which can be multiplied together to get another number.

List of all the factors of 100.

Factors of 100 = 1, 2, 4, 5, 10, 20, 25, 50, and 100.

How to calculate the number of boxes?

In order to calculate the number of boxes that Doritos can buy, we would apply direct proportion:

1 box = $8

X box = $40

Cross-multiplying, we have:

8X = 40

X = 40/8

X = 5 bags.

Number of bags = 5 bags.

How to simplify the given expression?

In order to simplify this expression, we would apply the PEMDAS rule, where operations within the parenthesis are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the expression to the right. Lastly, the operations of addition or subtraction would be performed from left to right.

Expression = 100 + 2(25 - 5²)

Expression = 100 + 2(25 - 25)

Expression = 100 + 2(0)

Expression = 100.

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Pls solve this somebody....

Answers

Answer:  341

=====================================================

Explanation:

When two letters are placed together without any space between them, this implies multiplication.

gf = g times f

So we'll be multiplying the functions g and f.

There are two ways to approach this problem.

----------------------------------------------

Method 1

First we need to find f(4) and g(4)

f(x) = 2x+3

f(4) = 2*4+3

f(4) = 8+3

f(4) = 11

g(x) = 2x^2-1

g(4) = 2(4)^2-1

g(4) = 2(16)-1

g(4) = 32-1

g(4) = 31

Now we multiply the results

gf(4) = g(4)*f(4)

gf(4) = 11*31

gf(4) = 341

----------------------------------------------

Method 2

We'll multiply g(x) with f(x) like so

gf(x) = g(x)*f(x)

gf(x) = (2x^2-1)*(2x+3)

gf(x) = 2x^2*(2x+3) - 1(2x+3) .... distribute

gf(x) = 4x^3+6x^2-2x-3 .... distribute again

Now plug in x = 4

gf(x) = 4x^3+6x^2-2x-3

gf(4) = 4(4)^3+6(4)^2-2(4)-3

gf(4) = 4(64)+6(16)-2(4)-3

gf(4) = 256+96-8-3

gf(4) = 341

We get the same result. Method 1 may be the better method, but it will depend on your preference.

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