To determine whether the pipe welds in a nuclear power plant meet specifications, a random sample of welds is selected, and tests are conducted on each weld in the sample. Weld strength is measured as the force required to break the weld. Suppose the specifications state that mean strength of welds should exceed 100 lb/in2; the inspection team decides to test
H0:μ=100 versus Ha:μ>100.
Explain why it might be preferable to use this Ha rather than μ<100.
A. We want to determine if there is significant evidence that the mean strength of welds differs from 100 lb/in2. The current hypotheses correctly place the burden of proof on those who wish to assert that the specification is not satisfied.
B. We want to determine if there is significant evidence that the mean strength of welds is less than 100 lb/in2. The current hypotheses correctly place the burden of proof on those who wish to assert that the specification is not satisfied.
C. We want to determine if there is significant evidence that the mean strength of welds exceeds 100 lb/in2. The current hypotheses correctly place the burden of proof on those who wish to assert that the specification is satisfied.
D. We want to determine if there is significant evidence that the mean strength of welds equals 100 lb/in2. The current hypotheses correctly place the burden of proof on those who wish to assert that the specification is satisfied.

Answers

Answer 1

Answer:

C. We want to determine if there is significant evidence that the mean strength of welds exceeds 100 lb/in2. The current hypotheses correctly place the burden of proof on those who wish to assert that the specification is satisfied.

Step-by-step explanation:

Given

[tex]\mu = 100[/tex]

[tex]H_0:\mu = 100\\\\H_a:\mu > 100[/tex]

Required

State why it is preferred to [tex]Ha: \mu < 100[/tex]

From the question, we understand that the initial test is the force required to break the weld.

This represents the null hypothesis

Because the required force can not be less than the strength of the weld (it must match the force keeping the weld), the null hypothesis is represented as:

[tex]H_0:\mu = 100[/tex]

Reading the question further;

The specification requires that the mean strength should exceed 100

In inequalities, exceeds means greater than, and it is represented with >

So, the null hypothesis is rightly represented as:

[tex]H_a:\mu > 100[/tex]

Hence: (c) is true


Related Questions

help will give crown

Answers

Answer:

112 meters squared

Step-by-step explanation:

Rectangle area: 72

Triangle area: 20 times 2 (because there are two triangles) = 40

72 + 40 = 112

please help :(
if you can please also give a explanation. thanks

Answers

Answer:

x = 20

Step-by-step explanation:

since the triangle is a right angle, that means the angle is 90 degrees

equation:

30 + 3x = 90

subtract 30 on both sides

30 - 30 + 3x = 90 - 30

3x = 60

then divide each side by 3

[tex]\frac{3x}{3} = \frac{60}{3}[/tex]

x = 20

divide and simplify 3/4 and 1/2

Answers

Answer:

1 1/2

Step-by-step explanation:

3/4x2/1=3/2=1 1/2

Answer:

3/2 or 1 1/2

Step-by-step explanation:

Hi,

3/4 divided by 1/2 is the same thing as 3/4 x 2/1. (when dividing fractions, flip the second fraction) When you do this, you simply multiply straight across. So...

3/4 x 2/1 = 6/4

Simplify...

3/2 (both 6 and 4 can be divided by 2)

3/2 = 1 1/2

I hope this helps :)

Calculate the area of the figure in square centimeters.

Answers

Answer:

20.283

Step-by-step explanation:

1) the formula of the required Area is:

A=A₁+A₂, where A₁ - area of semicircle, A₂ - area of rectangular;

2) the radius of the semicircle is: r=(7-2-1)/2=2 cm, then the area A₁:

A₁=0.5*π*r²=2π≈6.283 (cm²);

3) A₂=7*2=14 (cm²);

4) finally, A=A₁+A₂=6.283+14=20.283 (cm²)

What is the slope of the line that goes through (-3, 2) and (3, 2)?​

Answers

Answer:

m = 0

Step-by-step explanation:

Hope this helps:)

80 POINTS PLEASE HELP!!!
Consider functions f and g.
f(x) = log(x - 1)
g(x) = 1/3x^2 - 4


Which statement is true about the solutions of the equation f(x) = g(x)?

Answers

Answer:[tex]g (f (x)) = 3^{2} + 24[/tex]

Step-by-step explanation:

The true about the solutions of the equation f(x) = g(x) is

The solution of the graph where the graph of function intersect at

x = 1 and x = 3.642.

What is Function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).

We have function,

f(x) = log(x - 1)

g(x) = 1/3x² - 4

As, f(x) = g(x)

log (x-1) = 1/3 x² - 4

Now, putting x= 1, x= 3.642, x= 4.464, x= 4 , x= 0.422 into the formula for the observation.

So, the solution of the graph where the graph of function intersect at

x = 1 and x = 3.642

Learn more about Function here:

https://brainly.com/question/30721594

#SPJ5

A rectangle and 2 congruent quarter circles were
used to make the figure shown.
Which measurement is closest to the area of the
figure in square centimeters?
7 cm
A 148.5 cm2
110 cm

109.3 cm2
5 cm
C 89.6 cm2
5 cm
D 85.7 cm2

Answers

The correct answer is B. 109.3cm^2

Which is correct a or b

Answers

Answer:

B is correct hope this helps

round to the nearest 10th​

Answers

230 to the nearest 10 240

Plzz help me I am timed plzz!

Answers

It’s b)2. Because if you simplify you divide by 3 ( because 6 is divisible by 3) and get 2/1 so your answer is 2

Answer:

B) 2

Step-by-step explanation:

6/3 = 2

3/3 = 1

6÷3 = 2

Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

Need help plz and thank u

Answers

30 students is the answer :)
30 students................

What do I do from here?

Answers

49627/28000 or you can use the decimal 1.77

Step-by-step explanation:

28x=49.627

divide both sides by 28

Solve for x Enter the solutions from least to greatest . (x - 4)(- 5x + 1) = 0 lesser x = greater x =

Answers

Answer: lesser x = 1/5 greater x = 4

Step-by-step explanation:

A television is discounted 20% in a sale. A shopper has a coupon for an additional 15% off the sale price. Which of the following is the total percent discount from the original price of the television?

Answers

The total is 35% off of the original price.

Step by step explanation:

If the television is discounted by 20% in a sale and the shopper also has a coupon for an additional 15% of the sale price than you just add up the percentages and that’s the total percent of the discount.

I hope this helped you understand! :)

The total percent discount arises from the real price of the television is 32%.

Given that,

The television should be discounted at 20% in the sale i.e. price after discount should be 0.80 of the real price There is an additional 15% off the sale price. So, 15% of 80% i.e. 12%.

So, the total percent discount should be

= 20% + 12%

= 32%

Therefore we can conclude that The total percent discount arises from the real price of the television is 32%.

Learn more about the discount here: brainly.com/question/2736271

GEOMETRY WILL MARK BRAINLIEST

Answers

Answer: 13 and 14 degrees

Step-by-step explanation:

Answer:

Step-by-step explanation:

x+6 = -6+4x

4x-x = 6+6

3x = 12

x =12/3

x = 4

Substituting x into the value of CH:

-6+4(4)

= -6 + 16

CH = 10

The length of a cell phone is 1.41.4 inches and the width is 4.44.4 inches. The company making the cell phone wants to make a new version whose length will be 1.751.75 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?

Answers

Answer:

Step-by-step explanation:

Answer:

5.573.75

Step-by-step explanation:

because math

What is the value of c so that −15 and 15 are both solutions of x^2−c=157?

Answers

Answer: -c= 157+X^2

Step-by-step explanation:

What is the value of x?

Enter your answer in the box.

X=l_l

Answers

9514 1404 393

Answer:

  x = 62

Step-by-step explanation:

The angle marked x° is shown as the complement of the angle marked 28°. This means ...

  x = 90 -28 = 62

with one of these is a function
a
b
c
d​

Answers

Answer:

It's B

Step-by-step explanation:

Answer:

B is a functional answer

equation, find y when x=-3.

y = -x + 5

When x = -3, y =

Answers

I think y = 8. Since x = -3 then the equation would be y = -1(-3) +5. -1 times -3 equals 3. So now the equation is y = 3 +5. That would give you 8.

Sabric and Jessica disagree over an inequality statement. Sabric claims that –3.613 > –3.63. Jessica claims that –3.613 < –3.63. Which statement about each student’s claim is true?

Answers

Answer:

Sabric i guess

Step-by-step explanation:

because -3.613 is greater than -3.63

Answer:

D is the correct answer

Step-by-step explanation:

Sabric is correct because  –3.613 lies to the right of –3.63 on a number line.

If 5 people are going to share 9 pizzas how much pizza would each person get

Answers

Answer: 14

Step-by-step explanation:

5x9/8

Answer: Each person would get [tex]1 \frac{4}{5}[/tex] pizzas.

Step-by-step explanation:

9 pizzas divided by 5 people would be:

9 ÷ 5 = 9/5

9/5 = 1 4/5

Therefore, each person would get get [tex]1 \frac{4}{5}[/tex] pizzas.

Last 3 questions thank you so much

Answers

Answer:

Step-by-step explanation:

1)  

we are given ∠17  and the Adj = 200 meters they want to know the Opp

so use  TOA

Tan(17) = Opp / 200

200*Tan(17) = Opp

61.146 = Opp

the mast stands 61.1 meters tall   ( rounded to nearest 10th )

2)

now we know the opp = 40 meters and the angle is 35° and Adj = x

Use TOA again, but w/ the different knowns

Tan(35) = 40 / Adj

Adj = 40 / Tan(35)

57.1259 = Adj

so the boat is 57.1 meters from the cliff  ( rounded to nearest 10th)

3)

we are given two triangles now and are told to find the difference between them to find the distance between the buoys

Opp = 70

∠A = 60

∠B = 40

we want to find the Adj for each so use TOA

for A , then

Tan(60)= 70/a

a = 70 / Tan(60)

a = 40.4145

for B, then

Tan(40) = 70 /b

b = 70 / Tan(40)

b = 83.4227

so subtract  a  from b

83.4227 - 40.4145 = 43.008

so from buoy A to buoy B is 43.0 meters ( rounded to nearest 10th )

:)

6. Missing data, nonrandom samples, and outlying observations True or False: If the data for an observation on either the dependent variable or one of the independent variables are missing at random, then the size of the random sample available from the population must be reduced, which reduces the estimator's precision and introduces a bias.

Answers

Answer:

False

Step-by-step explanation:

The answer to this question is false because the missing observation does not introduce bias to the estimator. But missing observations reduces the size of the sample that is available from the given population. Therefore reducing the precision of the estimators.

In conclusion, no bias is introduced because of missing observations so the answer is false.

13.) If ABCD is a parallelogram, find the measure of angle D?
B-C:
(9x - 1)

D-A:

(13x - 25)

Answers

Answer:

13x-25 = 9x-1

4x-25=-1

4x=24

x=6

9(6)-1  = 54-1 = 53

So, angle d is 180-53 or 127 degrees.

Let me know if this helps!

Answer:

d=127

Step-by-step explanation:

I took the test

Jose Luis desea colocar una línea de azulejos alrededor de toda la piscina de su casa. La piscina tiene forma rectangular con un ancho de 10 m y una longitud de 25 m. , ¿cuántos metros lineales de azulejos necesitará comprar?

Answers

Answer:

70

Step-by-step explanation:

2 x (25 + 10) = 2 x 35 = 70

Pls help I’ll brainlest
Do question 10

Show your work

Answers

Answer:

Step-by-step explanation:

285 - 60= 225

225/45= 5

5 weekdays

True or False?
change in y
change in z
is used to find the constant of proportionality.
O False
O True

Answers

Answer:

False

Step-by-step explanation:

your welcome.

Answer:

false

Step-by-step explanation:

What is the length of leg s of the triangle below?

Answers

Answer:

the answer is F.8

Step-by-step explanation:

A local hamburger shop sold a combined total of 390 hamburgers and cheeseburgers on Wednesday. There were 60 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Wednesday?

Answers

Answer:

225 hamburgers

Step-by-step explanation:

system of equations:

h + c = 390

c = h-60

use Substitution:

h + h - 60 = 390

2h - 60 = 390

2h = 450

h = 225

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