A lumber company is making boards that are 2638.0 millimeters tall. If the boards are too long they must be trimmed, and if the boards are too short they cannot be used. A sample of 18 is made, and it is found that they have a mean of 2636.5 millimeters with a standard deviation of 12.0. A level of significance of 0.05 will be used to determine if the boards are either too long or too short. Assume the population distribution is approximately normal. Is there sufficient evidence to support the claim that the boards are either too long or too short

Answers

Answer 1

Answer:

The answer is "Fail to reject [tex]H_o[/tex], because  [tex]w_o[/tex] is sufficient evidence for claim".

Step-by-step explanation:

[tex]H_0 \mu=2638.0 \ \ / \ \ H_a \mu \neq 2638.0 \\\\\mu < 2638.0 \ \ or \ \ \mu > 2638.0 \\\\\alpha =0.05 \ \ level \ \ at \ \ sufficient \\\\[/tex]

Test Statistic:

[tex]t =\frac{\bar{x}- \mu}{\frac{S}{\sqrt{n}}}\\\\=\frac{2636.5- 2638.0}{\frac{12.0}{\sqrt{18}}}\\\\= -0.5303\\\\[/tex]

[tex]dt=17\\\\[/tex]

p-value[tex]=0.6028[/tex]  


Related Questions

What is the volume of a sphere with the diameter = 10 cm and the height = 200 cm ​

Answers

the equation is volume = 4/3 * pie * r3
the answer is 4,188.8 cubic centimeters

Solve for x
15 points for prize

Answers

×=20°

Hope this helps :)

Original price New price Calculation Converted to fraction over 100 % change
$20
$16
20 - 16
20
=
4
20
4 20
20 100
$20
$15

Answers

Answer:

1.20%

2.25%

Step-by-step explanation:

in 2.i converted to fraction over 100 and I've changed to percentage.I think that's what you needed hope it helps.

Find the measurement of the angle labeled X


PLEASE IM REALLY BAD AT THESE QUICK!!!!!!!!!!!!!

Answers

Answer:

b.

42+x+90+8=180° linear pair

x=180-140=40°

x=40°

c.

10+x+90+3x=180 linear pair

4x=180-100

x=80/4=20

x=20°

The radius of a circle is changing at the rate of 1/π inches per second. At what rate, in square inches per second, is the circle’s area changing when the radius is 5 inches?

Answers

Answer:

formula for the area A of a circle in terms of its radius r:

    A = πr2

It is important to remember that both r, and hence, A are functions of time, t.  Take the derivative of both sides with respect to t and obtain

    dA/dt = 2πr(dr/dt)

Note that we are using implicit differentiation here, since A and r are (implicit) functions of t.  Now we can find the required answers.

r = 5 inches.

Substitute r = 5 and dr/dt = 3 to get

    dA/dt = 2π5·3 = 30π ≅ 95.25

(the units are in2/min.)

r = 22 inches

    dA/dt = 2π22·3 = 132π ≅ 414.69

Hope that helps.

please answer asap NO SCAM LINKS.

Answers

ITS D !! since his parents give him 10 dollars every certain time amount, so that means the slope is 10

The graph of a linear function is shown on the coordinate grid.
What is they y-intercept of the graph of the linear function?

Answers

Answer:

y=-6

Step-by-step explanation:

just look at the bottom and yahhhh

There are 13 students in the class if every student in the class recycled one piece of paper each school day for the whole school year how many pieces of paper would get recycled versus go in the trash? (There are 172 school days per school year)

Answers

Answer:

dont know the answer but as i see, 13 student in class and each have 1 peice so 13 per day. you said 172 days so, 172 multiply 13 is 2236. its your answer

factoring review 2 terms 1-8

Answers

Answer:

ok

Step-by-step explanation:

whats the question?

Find the quotient of 376 divided by 4

Answers

Answer:

94

Step-by-step explanation:

There are 20 pieces of fruit in a bowl and 5 of them are apples. What percent of the fruit are apples?

Answers

Answer:  25%

Step-by-step explanation:

Total pieces=20

apple pieces=5

 =apple pieces/total pieces

=  5/20

for %age multipilying with 100

= 0.25×100

=25 percent

HELP ASAP!! I will give brainlist!! THANK YOU!

Answers

Answer:

dont trust me but i think its subtraction or division

Step-by-step explanation:

In the figure below, what is the measure of _x?
30
х
O A. 70°
OB. 300
o C. 60°
D. 90°

Answers

Answer:

50

Step-by-step explanation:

The sum of angle on a straight line is 180degres, hence;

X+3+x+20+x+7 = 180

3x+30=180

3x=180-30

3x = 150

X = 150/3

x = 50

Hence the value of x is 50

In the figure ,PS bisects angle RPT.If PS//QR then prove that:PQ=PR​

Answers

5839394849393959493933994493

Evaluate the expression if y = -4. | 2/y + 1/2 (y+6)

DO NOT SEND ANY LINKS.

Answers

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

0.5

Step-by-step explanation:

If y = -4, then we must replace every variable y with the number 4. So, let's do that.

2/-4 + 1/2*(-4 + 6)

All we have to do now, is simplify. Parenthesis first...

2/-4 + 1/2*2

We can replace the 1/2*2 with 2/2 because they are the same thing.

2/-4 + 2/2

Now, solve from left to right.

-0.5 + 1 = 0.5

Therefore, the answer is equal to 0.5. Hope this helps!

I need help on homework its due tomorrow

Answers

look this up on quizlet

85% of x is 51. Write an equation that represents the situation.

Answers

Answer:

85/100*x=51

Step-by-step explanation:

85x=5100

Can someone help me please?

Answers

Answer:

I love pizza math  :P

Step-by-step explanation:

column 1           column 2

2/3                          2/5

1/4                           3/4

1/3                           4/5

1/2                           1/6

Is it time for pizza now?  :P

The sum of the lengths of two opposite sides of the circumscribed quadrilateral is 12 cm, the length of a radius of the circle is 5 cm. Find the area of the quadrilateral

Answers

Answer:

60cm^2

Step-by-step explanation:

We assume that is a circumscribing quadrilateral, rather than one that is circumscribed. It is also called a "tangential quadrilateral" and its area is ...

 K = sr

where s is the semi-perimeter, the sum of opposite sides, and r is the radius of the incircle.

 K = (12 cm) (5cm) = 60 cm²

_____

A quadrilateral can only be tangential if pairs of opposite sides add to the same length. Hence the given sum is the semiperimeter.

Pls help !!!! Due today

Answers

Answer:

Im not so sure but i think its the 3rd option 168cm^2

Step-by-step explanation:

Jonathan went shopping for a new pair of pants. Sales tax where he lives is 4.75%. The price of the pair of pants is $20. Find the total price including tax. Round to the nearest cent.

Answers

Answer:

20.95$

Step-by-step explanation:

To find the total price we need to find 4.75% of the 20 and to do that we need  to multply 20 with 4.75 and divide it by 100

20 × 4.75 ÷ 100 = 0.95

20$ + 0.95$ = 20.95$

Question 1 of 10
What is the solution to this equation?
9x - 4(x - 2) = x + 20
A. X = 3
B. X = 7
C. X = -7
D. X = -3

Answers

Step-by-step explanation:

daddgeyeyeyeye daddd daddy safdad papap

A. x=3
9(3)-4(3-2)=3+23
23=23

how many square feet is in a acre

Answers

43,560 is the answer
43560 square feet in an acre

Janie ordered boxed lunches for a student advisory committee meeting. Each lunch costs $4.25. The total cost of the lunches is $53.75, including a $7 delivery fee.

Part A

Which equation will help you find x, the number of boxed lunches Janie ordered?
a 4.25x = 60.75
b 4.25 + 7x = 53.75
c 4.25x + 7 = 53.75
d 4.25(x + 7) = 53.75

Part B

Solve the equation from Part A to find x.

x = _____

Answers

Answer:

Part A: c. 4.25x+7=53.75

Part B: 11

Step-by-step explanation:

4.25x+7=53.75

4.25x=46.75

x=11

Find the area of the composite figure?

Answers

Answer:

400

Step-by-step explanation:

25*35=700

10*30=300

700-300=400

The answer to your question is four hundred


Please help worth 10 points

Answers

Answer:

2.5%

Step-by-step explanation:

ahhh has to be 20 characters

I would say 50 percent

Find l.
10 in.
l
l = [?] ir
1
1
6 in.

Answers

Answer:

[tex]l=\sqrt{109}[/tex] in

Step-by-step explanation:

[tex]l^{2} =r^{2} +h^{2} \\\\l^{2} =3^{2} +10^{2} \\\\=90+100\\\\l^{2} =109\\\\l=\sqrt{109}[/tex]

hope it helps....

evaluate: (_1_i)^(5/3)​

Answers

Answer:

(

1

)

(

5

/

3

)

Step-by-step explanation:

What slope of the points (9,7) and (3,3)

Answers

Answer:

6/4

Step-by-step explanation:

Answer:

slope

=

21

16

Explanation:

to calculate the slope m use the

gradient formula

x

m

=

y

2

y

1

x

2

x

1

let

(

x

1

,

y

1

)

=

(

7

,

11

)

and

(

x

2

,

y

2

)

=

(

9

,

10

)

m

=

10

11

9

(

7

)

=

21

16

=

21

16

Step-by-step explanation:

Please help givin brainliest

Answers

Answer:

Answer H

Step-by-step explanation:

the answer i think is


H
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