1. Find the 90% Cl for the population mean if sample
mean= 12, SD=2.3 and sample size is 65.
2. Find the 88% Cl for the population mean if sample
mean=23, SD=12, and sample size is 45.
3. Interpret #1 and #1.

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

1)

mean (μ) = 12, SD(σ) = 2.3, sample size (n) = 65

Given that the confidence level (c) = 90% = 0.9

α = 1 - c = 0.1

α/2 = 0.05

The z score of α/2 is the same as the z score of 0.45 (0.5 - 0.05) which is equal to 1.65

The margin of error (E) is given as:

[tex]E=Z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } =1.65*\frac{2.3}{\sqrt{65} } =0.47[/tex]

The confidence interval = μ ± E = 12 ± 0.47 = (11.53, 12.47)

2)

mean (μ) = 23, SD(σ) = 12, sample size (n) = 45

Given that the confidence level (c) = 88% = 0.88

α = 1 - c = 0.12

α/2 = 0.06

The z score of α/2 is the same as the z score of 0.44 (0.5 - 0.06) which is equal to 1.56

The margin of error (E) is given as:

[tex]E=Z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } =1.56*\frac{12}{\sqrt{45} } =2.8[/tex]

The confidence interval = μ ± E = 23 ± 2.8 = (22.2, 25.8)


Related Questions

If Alicyn makes $8 everyday for babysitting her little sister, how long will it take her to make $128?

Answers

Answer:

16 Days

Step-by-step explanation:

$8 x 1 = 8

$8 x 16 =  128

16 Days!!!!

If Alicyn makes $8 everyday for babysitting her little sister, It'll take her 16 days to make $128.

Answer:

16 days

Step-by-step explanation:

8x _ = 128

8x 16= 128

Could anyone that has taken or is currently taking math 3 go look at my profile pls? I posted a question and got a fake answer. I'll give you brainliest pls help .-_.-

Answers

Answer:

I tried

Step-by-step explanation:

i need help asap thank you

Answers

Answer:

250

Explanation:

2,000 plus 250 × 3 is 2,750 so that is the answer.

jesse bought 2 sheets of stamps. on each sheet there are 5 rows of stamps with 6 stamps in each row. how much did he buy.

Answers

Answer:

he bought 60 stamps

Step-by-step explanation:

6*5=30

30*2=60

34 < 6 + d
Solve the inequality

Answers

Answer:

28< 6

Step-by-step explanation:

34 < 6 + d

Subtract 6 from each side

34-6 < 6 + d-6

28< 6

Answer:

28<d

Step-by-step explanation:

Since all you need to do is find d, to do this do the inverse operation of 6 which is -6 and add them to both sides which gives you 28<d

find the slope that passes between (-3, 2) and (-6, 5)

Answers

Answer:

m= -2/3

Step-by-step explanation:

m= 4-2/-6-(-3) = -2/3

Please help asap 20 points

Answers

Answer:

5.3

Step-by-step explanation:

(4x_2.6). 21.2x+= Mc²

21.2x + c = 5.3(4x - 2.6)
21.2x + c = 21.2x - 13.78
c = -13.78

Tamara looked at the expression 35 + z < 59. She believes that z can equal more than one value.

Answers

Answer:

z<24

Step-by-step explanation:

It can't be more than one value. All you do is subtract 35 from both sides to isolate z.

Hope this helped!

Answer:

Tamara is correct here. With the expression: 35 + z < 59, Some examples could be; 10,20,15,21,22,23,24, or really anything under the number 24 will be acceptable for this expression to be true.

Step-by-step explanation:

Hope that this helps! :)

Can 65536 be simplified to the 2nd power if so what is it?

Answers

Answer:

Yes; 256

Step-by-step explanation:

Take the square root of 65536

[tex]\sqrt{65536} = 256[/tex]

256 to the power of 2 = 65536

Answer:

             

Step-by-step explanation:

                                                               

enzymes : Fish that has been dried in the song keeps longer than wet fish. ​

Answers

Answer:

If the question is fix the sentence than here:

Step-by-step explanation:

A fish that has been dried in the sun lasts longer than a wet fish.


With which set of information can you construct a unique triangle?
Α.
the measurements of all the angles
B.
the lengths of two sides
C.
the measurements of two angles
D.
the lengths of all the sides
E.
the measurement of one angle

Answers

The answer is the lengths of all the sides/D you welcome

Answer:

I hope this helps

Step-by-step explanation:

Solve the area of a rhombus

Answers

Answer:

67.5

Step-by-step explanation:

A=pq/2= (45)(3)/2= 67.5

PLS HELP i will give brainliest

Answers

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[Content Deleted]

if same earns $2 more, he’ll have $24. How much does he have to start out with?

Answers

Answer:2

Step-by-step explanation:

Answer: 22

Step-by-step explanation:

I need help I dont understand this​

Answers

Answer:

13

Step-by-step explanation:

Quadrilateral BCDE is inscribed in circle A. The measure of ⏜ is 73°. The measure of ⏜ is 53° and the measure of ⏜ is 102°. Determine the measure of ∠ BCD.

Answers

Answer:

oh ok I think it’s 63>

Step-by-step explanation:

.

please answer asap! Please dont get it wrong T0T

Answers

Answer:

Step-by-step explanation:

x + 165° = 180° ( being linear pair )

x = 180° - 165°

x = 15°

hope it helps :)

9-3X+1/3-2+10- -3/2=

Answers

Answer:

9-3x+1/3-2+10+3/2

17-3x+11/6

113/6-3x

Step-by-step explanation:

Which ordered pair describes a point that is located 1 unit to the left of the origin and 3 units above the x-axis?​

Answers

Answer:

Cartesian plane

Step-by-step explanation:

(–1 , 3)

Answer:

-1 3

Step-by-step explanation:

describe two sequences of transformation that map figure ABCD onto figure EFGH

Answers

Answer:

Reflection on y=1

Dilation by 2 (Enlargement)

Translation 1 to the right

Step-by-step explanation:

Im not that sure tho sorry

Answer:

Dilate ABCD by a scale factor of 2. Then reflect the image.

Step-by-step explanation:

Jasmine found a wooden jewelry box shaped like a right rectangular prism what is the volume of the jewelry bow

Answers

since you are giving no numbers, in order to solve you would multiply the length, width, and height of the jewelry box

HELP I NEED HELP WITH CIRCUMFERENCE!! What is the radius of a circle with circumference of 50 cm? Round your answer to the nearest whole number. Use π = 3.14.

A. 4 cm
B. 3 cm
C. 8 cm
D. 7 cm

Answers

Answer:

8cm

Step-by-step explanation:

circumference formula[tex]2\pi \: r[/tex]

50 = 2(3.14)(r)

50 = 6.28r

7.9 = r

8 = r

Find the value of x. Round to the nearest tenth.

Answers

Answer:

9.8

Step-by-step explanation:

12x cos(35) = 9.8

The line l is tangent to the circle with equation x^2 + y^2=10 at the point P.
Determine the equation of line l.

Answers

Given:

The equation of a circle is

[tex]x^2+y^2=10[/tex]

A tangent line l to the circle touches the circle at point P(1,3).

To find:

The equation of the line l.

Solution:

Slope formula: If a line passes through two points, then the slope of the line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Endpoints of the radius are O(0,0) and P(1,3). So, the slope of radius is

[tex]m_1=\dfrac{3-0}{1-0}[/tex]

[tex]m_1=\dfrac{3}{1}[/tex]

[tex]m=3[/tex]

We know that the radius of a circle is always perpendicular to the tangent at the point of tangency.

Product of slopes of two perpendicular lines is always -1.

Let the slope of tangent line l is m. Then, the product of slopes of line l and radius is -1.

[tex]m\times m_1=-1[/tex]

[tex]m\times 3=-1[/tex]

[tex]m=-\dfrac{1}{3}[/tex]

The slope of line l is [tex]-\dfrac{1}{3}[/tex] and it passs through the point P(1,3). So, the equation of line l is

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-3=-\dfrac{1}{3}(x-1)[/tex]

[tex]y-3=-\dfrac{1}{3}(x)+\dfrac{1}{3}[/tex]

Adding 3 on both sides, we get

[tex]y=-\dfrac{1}{3}x+\dfrac{1}{3}+3[/tex]

[tex]y=-\dfrac{1}{3}x+\dfrac{1+9}{3}[/tex]

[tex]y=-\dfrac{1}{3}x+\dfrac{10}{3}[/tex]

Therefore, the equation of line l is [tex]y=-\dfrac{1}{3}x+\dfrac{10}{3}[/tex].

12
Given that
R
=
3
x
+
2
y

Find
x
when
y
=
7
and
R
=
8
x
=

Answers

Answer:

x=-2

Step-by-step explanation:

R=3x+2y

y=7, R=8

x=?

Substitute R and y with the values given

8=3x+2(7)

8=3x+14

Combine like terms

8-14=3x

-6=3x

x=-2

Tom wants to put up Christmas lights around his house.
His house is a rectangle which is 35m long and 15m wide.
How many metres of lights will Tom need to go all around his house?

Answers

Answer:

525 meters

Step-by-step explanation:

Tom needs 100 meters of lights to go all around his house if Tom wants to put up Christmas lights around his house.

What is a rectangle?

It is defined as the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

It is given that:

Tom wants to put up Christmas lights around his house.

His house is a rectangle that is 35m long and 15m wide.

To find the how many meters of lights will Tom need to go all around his house.

Find the perimeter of the rectangle:

The perimeter of the rectangle = 2(length + width)

Length = 35 m

Width = 15 m

The perimeter of the rectangle = 2(35 + 15)

The perimeter of the rectangle = 2(50)

The perimeter of the rectangle = 100

Thus, Tom needs 100 meters of lights to go all around his house if Tom wants to put up Christmas lights around his house.

Learn more about the rectangle here:

https://brainly.com/question/15019502

#SPJ2

Hiiioo can you help me please?❤️:D

For a regular polygon with 3 sides, each interior angle has a measure of-

A. 60

B.45

C.30

D.120

Answers

60

 

The sum of the interior angles of a triangle is 180

if there are 3 sides then there are 3 angles

180/3=60 so each interior angle has a measure of 60

Please answer my most recent question.

Multiplying by which number is equivalent to an increase 49.5%

Answers

Answer:

22.46

Step-by-step explanation:

'Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

49.5% = 49.5/100 = 49.5 ÷ 100 = 0.495.

100% = 100/100 = 100 ÷ 100 = 1.

Increase the number by 49.5% of its value.

Percentage increase = 49.5% × 22.46

New value = 22.46 + Percentage increase

22.46 equivalent an increase 49.5%

The product of 4 and the difference of x and 3 *

Answers

Answer:

4x -12

Step-by-step explanation:

Hope this helps!!

The answer is 4(X - 3) or 4*X - 3

Store A sells a baseball glove for $80 and offers a 20% discount. Store B sells the same glove for $100 and offers a 40% discount. From which store should you buy?

Answers

Store A because 20% of 80 is 48 and 40% of 100 is 60
Store A
80$. 100%
X$. 80%
X=80•80/100
X=$64

Store B
100$ 100%
X$. 60%
X=100•60/100
X=$60

You should buy from store B, it would safe you 4$.
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