A random sample of 23 items is drawn from a population whose standard deviation is unknown. The sample mean isx⎯ ⎯ x¯ = 840 and the sample standard deviation is s = 15. Use Appendix D to find the values of Student's t. (a) Construct an interval estimate of μ with 98% confidence. (Round your answers to 3 decimal places.) The 98% confidence interval is from to

Answers

Answer 1

Answer:

[tex](832.156, \ 847.844)[/tex]

Step-by-step explanation:

Given data :

Sample standard deviation, s = 15

Sample mean, [tex]\overline x = 840[/tex]

n = 23

a). 98% confidence interval

[tex]$\overline x \pm t_{(n-1, \alpha /2)}. \frac{s}{\sqrt{n}}$[/tex]

[tex]$E= t_{( n-1, \alpha/2 )} \frac{s}{\sqrt n}}[/tex]

[tex]$t_{(n-1 , \alpha/2)} \frac{s}{\sqrt n}$[/tex]

[tex]$t_{(n-1, a\pha/2)}=t_{(22,0.01)} = 2.508$[/tex]

∴ [tex]$E = 2.508 \times \frac{15}{\sqrt{23}}$[/tex]

  [tex]$E = 7.844$[/tex]

So, 98% CI is

[tex]$(\overline x - E, \overline x + E)$[/tex]

[tex](840-7.844 , \ 840+7.844)[/tex]

[tex](832.156, \ 847.844)[/tex]


Related Questions

Solve the equation. The letters a, b, and c are constants and a≠0
ax-7b = 9c

i got confused bc it doesn’t tell me what to solve for. please help! thank you!

Answers

yo no see heheh ooos wish 37/

Two observers are 300 ft apart on opposite sides of a flagpole. The angles of
elevation from the observers to the top of the pole are 20°
and 15°. Find the
height of the flagpole.

Answers

I know similar questions and have answers. do you want

What is the area of a rectangle with vertices at (7,3) (12,3) (12,11) (7,11)

Answers

Answer:

Area = 5 × 8

= 40 square units

Answer:

40^2

Step by Step Solution:

I counted the difference between the length and the width, which was 5 and 8, then using the formula for area, lw=a^2, I did 5(8)=40^2.  Some people leave out the squared part of the area, but 40^2 would be the most correct option if they do not square any of the answers, just put 40 that'll probably be accepted too.

If a man wishes to glue 5 lengths of board each 2'3" long, what is the total length?
(A) 10'
(B) 10'3"
(C) 11'
(D) 11'3"
(E) 12

Answers

Answer:

The answer is D: 11'3"

Step-by-step explanation:

If a line has a midpoint at (2,5), and the endpoints are (0,0) and (4,y), what is the value of y? Please explain each step for a better understanding:)

Answers

Answer:

y = 10

Step-by-step explanation:

To find the y coordinate of the midpoint, take the y coordinates of the endpoints and average

(0+y)/2 = 5

Multiply each  die by 2

0+y = 10

y = 10

3a + 2 = 20

5(b+1) = 10

3 (2y - 3) - 2y = y-3

2+ (2+4p) =6p

Please answer these questions with steps please!

Answers

1. 3a=20-2
3a=18
a=6

2. b+1=2
b=2-1
b=1

3. 6y-9-2y=y-3
4y-9=y-3
4y-y=-3+9
3y=6
y=2

4. 2+2+4p=6p
4+4p=6p
4p-6p=-4
-2p=-4
p=2

PLS HELP ME ON THIS QUESTION I WILL MRK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Which of the following measures is a measure of spread?
A. median
B. range
C. mode
D. mean

Answers

Answer:

range

Step-by-step explanation:

Answer:

B. range.

Step-by-step explanation:

others are:

» Standard variation.

» Interquatile range.

» Quatiles, deciles and percentiles.

» variance.

[tex]{ \underline{ \blue{ \sf{christ \: † \: alone}}}}[/tex]

the cost of an article is Rs 10,000 and it is sold at same profit. if a customer bought it for Rs 12430 with 13% VAT calculate the profit percent on the article.​

Answers

Answer:

Percentage profit = 11.3%

Step-by-step explanation:

Given the following data;

Vat = 13% = 13/100 = 0.13Cost price = 10,000Selling price = Rs 12430

To calculate the profit percentage on the article;

First of all, we would determine the value-added (vat) tax levy;

Vat levy = 0.13 * 10000

Vat levy = Rs. 1300

Profit = selling price - cost price

Profit = 12430 - 10000

Profit = 2430

Profit after vat;

Profit after vat = Profit - Vat levy

Profit after vat = 2430 - 1300

Profit after vat = 1130

Next, we would calculate the profit percentage on the article;

[tex] Percentage \; profit = \frac {Profit \; after \; vat}{Cost \; price} * 100 [/tex]

Substituting the values into the formula, we have;

[tex] Percentage \; profit = \frac {1130}{10000} * 100 [/tex]

[tex] Percentage \; profit = \frac {113000}{10000} [/tex]

Percentage profit = 11.3%

Help ASAP please :))

Image attached

Answers

No Sophie made a mistake going from step one to two. (She should’ve multiplied 9*2 and 6*7 instead of dividing first, she didn’t follow PEMDAS)

Help ASAP I’ll mark you as brainlister

Answers

Answer: Try 2. This is my best guess

3,125 subtracted by what can give me 514

Answers

Answer:

2611

Step-by-step explanation:

3125-2611= 514

for more answers check my bio

If LM = 9x + 27 and RS = 135, find x.

Answers

Answer:

x=12

Step-by-step explanation:

LM = RS

9x+27 = 135

Subtract 27 from each side

9x+27-27 =135-27

9x=108

Divide each side by 9

9x/9 = 108/9

x = 12

the boxes are equivalent so the one with a single dash is equal to the other with a single dash.

the one with 2 dashes is equal to the other with 2 dashes so on and so forth

SR=LM

LM=9x+27

RS=135

9x+27=135

so I solve it in my own weird way but you can solve it differently. 135-27=108

108/9=12

so your answer is 12

Solve for a. HELPPppppppppppppppp

Answers

Answer:

a = -24

Step-by-step explanation:

[tex]30=26-\frac{a}{6}\\(6)4=-\frac{a}{6}(6)\\24=-a\\-24=a[/tex]

Answer:

-24 = a

Step-by-step explanation:

30 - 26 - a/6

Subtract 26 from each side

30 -26 = 26 - a/6 - 26

4 = -a/6

Multiply by -6 on each side

-6 *4 = -a/6 *-6

-24 = a

how many inches is 775 centimeters

Answers

Answer:

305.11

Step-by-step explanation:

Just use a calculator. A centimeter is 2.5 inches. Divide 775 by that.

PLS HELP ASAP NOW I REALLY NEED HELP ITS PYTHAGOREAN THEOREM

Answers

Answer:

a=7.14yd

Step-by-step explanation:

process same as in above question

Find the measurement of the diagonal indicated in the following parallelogram

Answers

Answer:

If KF = 19, then KM = 38.

Step-by-step explanation:

The point that intersects the two diagonals of a symmetrical quadrilateral marks the halfway point of the diagonals. Since we know that KF = 19 and that 2(KF) = KM, as KM is a diagonal of this parallelogram, we just do the following:

2(KF) = KM

2(19) = KM

38 = KM

what does this equal 2^3 + 6^5=

Answers

[tex]\\ \sf\longmapsto 2^3+6^5[/tex]

[tex]\\ \sf\longmapsto 2^3+(2\times 3)^5[/tex]

[tex]\\ \sf\longmapsto 8+2^5\times 3^5[/tex]

[tex]\\ \sf\longmapsto 8+32\times 243[/tex]

[tex]\\ \sf\longmapsto 40+7776[/tex]

[tex]\\ \sf\longmapsto 7784[/tex]

Answer:

2*2*2= 8

6*6*6*6*6= 7,776

7,776+8=

7,784

F is on the bisector of angle BCD. Find the length of FD (with lines over FD)

Answers

Answer:

8n-2 = 6n+9

2n-2 = 9

2n = 11

n = 5.5

So C is correct

Let me know if this helps!

based on the graph the coordinates for do1 of x

Answers

Answer:

(4,0)

Step-by-step explanation:

1. X= (4,0) the coordinates of x

Which value of x makes this equation true?-9x+15=3(2-x)

Answers

Step-by-step explanation:

-9x+15=3(2-x)

expand the bracket by the right hand side

6-6x

2. collect like terms

-9x+15= 6-6x

15-6 = 6x+9x

11= 15x

3. divide both sides by the coefficient of X which is 15

x= 11/15

Two lateral faces of a rectangular pyramid have a base length of 10 inches and a height of 15 inches. The other two lateral faces have a base length of 18 inches and a height of 13 inches. What is the surface area of the rectangular pyramid?

Answers

The surface area of the rectangular pyramid is the sum of the area of its individual surface. The surface area of the pyramid is 384 square inches.

Each surface of the rectangular pyramid has the shape of a triangle.

So that the area of each surface of the pyramid = [tex]\frac{1}{2}[/tex] x base x height.

From the given question;

The area of one of the two lateral faces = [tex]\frac{1}{2}[/tex] x b x h

                                                                 = [tex]\frac{1}{2}[/tex] x 10 x 15

The area of one of the two lateral faces = 75 square inches

Thus,

the area of the first two given lateral faces = 2 x 75

                                                            = 150 square inches

The area of the first two given lateral faces = 150 square inches

Also,

The area of one of the other two lateral faces = [tex]\frac{1}{2}[/tex] x b x h

                                                                             = [tex]\frac{1}{2}[/tex] x 18 x 13

The area of one of the other two lateral faces =  117 square inches

So that;

the area of the first two other lateral faces = 2 x 117

                                                            = 234 square inches

The area of the first two other lateral faces = 234 square inches

Thus,

the surface area of the pyramid = 150 + 234

                                                              = 384 square inches

Therefore, the surface area of the rectangular pyramid is 384 square inches.

For more clarifications: https://brainly.com/question/23564399

Answer:

Step-by-step explanation:

The surface area of the rectangular pyramid is the sum of the area of its individual surface. The surface area of the pyramid is 384 square inches.

Each surface of the rectangular pyramid has the shape of a triangle.

So that the area of each surface of the pyramid =  x base x height.

From the given question;

The area of one of the two lateral faces =  x b x h

                                                                =  x 10 x 15

The area of one of the two lateral faces = 75 square inches

Thus,

the area of the first two given lateral faces = 2 x 75

                                                           = 150 square inches

The area of the first two given lateral faces = 150 square inches

Also,

The area of one of the other two lateral faces =  x b x h

                                                                            =  x 18 x 13

The area of one of the other two lateral faces =  117 square inches

So that;

the area of the first two other lateral faces = 2 x 117

                                                           = 234 square inches

The area of the first two other lateral faces = 234 square inches

The area of the rectangle is B x H = 18 x 10 = 180 square inches

Thus,

the surface area of the pyramid = 150 + 234+180

                                                             = 564 square inches

Therefore, the surface area of the rectangular pyramid is 564 square inches.

ok so this... is confusing the hell outta me any help?

Answers

Answer:

y = 24

Step-by-step explanation:

The sum of the angles of a triangle is 180

A+B+C = 180

ABC = 60

We know 2x-4 = 60

2x -4+4 = 60+4

2x = 64

x = 64/2 = 32

A = 3x = 3(32) = 962x-4 = 60

B = 60

Using the first equation

96+ 60 +y = 180

156 +y =180

y = 180-156

y = 24

Help me plezzzzzzzzzzzzzzzzz

Answers

Answer:

Step-by-step explanation:

I am assuming 1 and 2 are asking for factors,

I am only gonna solve 4 for the sake of time,

9x^5-x^3+2x^2-x

x(9x^4-x^2+2x-1)

x(9x^4-(x^2-2x+1)

x(9x^4-(x-1)^2)

x(3x^2+x-1)(3x^2-x+1)

x^4+2x^2-24

x^4+6x^2-4x^2-24

x^2(x^2+6)-4(x^2+6)

(x^2-4)(x^2+6)

(x+2)(x-2)(x^2+6)

a^4+a^2+1

a^4+1+a^2

(a^2+1)^2-2a^2+a^2

(a^2+1)^2-a^2

(a^2+1-a)(a^2+1+a)

(a^2+a+1)(a^2-a+1)

a^3+b^3+c^3-3abc

=(a+b)^3+c^3−3ab(a+b)−3abc

=(a+b+c)^3−(3c(a+b)^2+3(a+b)c^2)−3ab(a+b+c)

=(a+b+c)^3−3c(a+b)(a+b+c)−3ab(a+b+c)

=(a+b+c)^3−(a+b+c)(3ab+3bc+3ac)

=(a+b+c)(a^2+b^2+c^2+2ab+2bc+2ac)−(a+b+c)(3ab+3bc+3ac)

=(a+b+c)(a^2+b^2+c^2−ab−bc−ac)

ax^2-y^2-x-y factorize​

Answers

Answer:

x(ax-1)-y(y+1)

Step-by-step explanation:

you have to group the like terms

ax^2-x-y^2-y

x(ax-1)-y(y+1)

I hope this helps

2. Determine the measure of the angles indicated by letters. Justify your answers with the
properties or theorems you used.

Answers

Answer:

a = 50°

b = 130°

c = 50°

d = 50°

e = 130°

f = 130°

g = 50°

Answered by GAUTHMATH

What is the range of the absolute value function shown in the graph?
A. 3 ≤ y < ∞
B. -∞ < y ≤ 3
C. -6 ≤ y < ∞
D. -∞ < y < ∞

Answers

Answer:

C

Step-by-step explanation:

as we can see on the graph, the lowest y value is the vertex/corner at x=3, y=-6.

all other y values are above (=are larger) that level.

and it goes up without appearant limit, so up to infinity.

Hi, Which option is correct??

Answers

Answer:

B

Step-by-step explanation:

option B is not similar.

the ratio of each side isn't same

What is 3.7 as a mixed number

Answers

Answer:

3 7/10

Step-by-step explanation:

3 is the whole number 7 is the leftover in the decimal and 10 would represent our denominator

3 7/10



Solve for x in the triangle. Round your answer to the nearest tenth.

Answers

Answer:

x = 6.2

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan 32 = x/ 10

10 tan 32 = x

x=6.24869

Rounding to the nearest tenth

x = 6.2

Answer:

x=6.2 (Rounded to the nearest tenth)

Step-by-step explanation:

This problem gives you an angle(32°), and ask for the dimension of the opposite side to that angle(x), along with another dimension the adjacent side(10).

Since you have the opposite and adjacent sides, you can use tangent. opposite (x) over adjacent (10). Tan(32) =[tex]\frac{x}{10}[/tex]. You want (x) so multiply tan(32) by 10. Then round to the nearest tenth.

Remember to put calculator in degree mode!

tan (32) = 0.6248693519 multiply by ten 6.248693519. Round to nearest 10th 6.2.

Hope this helps!

result of 5 and 75 with dividid by 3

Answers

Answer:

your answer is 30

Step-by-step explanation:

I hope this help

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