A quality-assurance inspector periodically exam-ines the output of a machine to determine whether it is properly adjusted. When set properly, the machine pro-duces nails having a mean length of 2.000 inches, with a standard deviation of 0.070 inches. For a sample of 35 nails, the mean length is 2.025 inches. Using the 0.01 level of significance, examine the null hypothesis that the machine is adjusted properly. Determine and interpret the p-value for the test.

Answers

Answer 1

Answer:

Step-by-step explanation:

From the given information;

The null hypothesis & alternative hypothesis:

[tex]\mathbf{H_o:\mu = 2} \\ \\ \mathbf{H_1 : \mu \ne 2}[/tex]

The test statistics can be computed as:

[tex]Z = \dfrac{\overline x - \mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]

[tex]Z = \dfrac{2.025- 2}{\dfrac{0.07}{\sqrt{35}}}[/tex]

[tex]Z = \dfrac{0.025}{\dfrac{0.07}{\sqrt{35}}}[/tex]

[tex]Z =2.11[/tex]

The p-value = 2(Z > 2.11)  since this is a two-tailed test

The p-value = 2( 1 - Z < 2.11)

The p-value = 2 (1 -0.9826)

The p-value = 2 (0.0174)

The p-value = 0.0348

Decision Rule: To reject the [tex]\mathbf{H_o}[/tex]  if the p-value is less than [tex]\mathbf{H_o}[/tex]

Conclusion: We fail to reject [tex]\mathbf{H_o}[/tex] and conclude that the population mean = 2, thus the machine is properly adjusted.


Related Questions

1. Which expression is equivalent to the given expression? * -0.25 (84 – 32n) - n

a. 21 – 9n

b. -21 – 9n

c. - 21 + 8.25n

d. -21 + 7n

PLS HURRY​

Answers

Hi! Multiply -0.25 by the inner numbers.

-0.25 times 84 = 21
-0.25 times -32n = -8n

Then take the -n and add that
21 -8n - n

-8n - n (or -1n) = -9n

therefore, answer would be a) 21 - 9n


The product of the areas of two rectangular rugs is 140. If each of the dimensions is a prime number, what are the four dimensions?

A. 2,4,5,7
B. 2,2,5,7
C. 2,2,5,5
D. 2,5,7,7

Answers

D..............I think am sorry if am wrong

Answer:

The correct answer is B. 2,2,5,7

Step-by-step explanation:

To answer this just multiply them in the order you see them in so 2*2=4 4*5=20 *7=140

fill in the blanks

1. Hindu deity known as “the Absolute” _______________________.
2. Hindu deity of knowledge and creativity _____________________.
3. Hindu deity that represents transformation of the universe ____________________.
4. Demon king mentioned in the Ramayana ___________________.
5. Hindu deity the represents the creation of the universe ______________________.
6. Hindu deity that represents preservation of the universe _____________________.
7. Hindu deity of good health and prosperity ____________________.
8. Hindu deity of love and devotion ______________________.

Answers

Answer:

I can answer a couple

4. Ravan (i am sure)

5. Bhramha (i think)

6. Vishnu

Step-by-step explanation:

hope this helps!

Can anyone tell me what 9/2 simplified completely is??

Answers

Answer:

You can't simplify 9/2, but 9/2 as a mixed number is 4 1/2

hope this helped

Step-by-step explanation:

Answer:

You can't simplify 9/2, but 9/2 as a mixed number is 4 1/2

Step-by-step explanation:

how many square yards of carpet are needed to completely cover a rectangular floor that measures 15 feet by 9 feet?​

Answers

Answer:

0.6

Step-by-step explanation:

Factor out the greatest common factor from –12a – 8a2.
Question 3 options:

A)

–4a(3 + 2a)

B)

2a(6 – 4a)

C)

–2a(6 + 4a)

D)

4a(3 – 2a)

Answers

Answer:

A  -4a(3 + 2a)

Step-by-step explanation:

-12a - 8a^2) factor out a -4

-4(3a + 2a^2) factor out an a

-4a(3 + 2a)

A trial balance has total debits of $36,000 and total credits of $48,500. Which one of the following errors would create this imbalance?

A.) A $6,250 debit to utilities expense in a journal entry was incorrectly posted to the ledger as a $6,250 credit, leaving the utilities expense account with a $7,000 debit balance.

B.) A $12,500 debit to salaries expense in a journal entry was incorrectly posted to the ledger as a $12,500 credit, leaving the salaries expense account with a $2,350 debit balance.

C.) A $6,250 credit to consulting fees earned (revenues) in a journal entry was incorrectly posted to the ledger as a $6,250 debit, leaving the consulting fees earned account with a $14,300 credit balance.

D.) A $6,250 debit posting to accounts receivable was posted mistakenly to land.

E.) A $12,500 debit posting to equipment was posted mistakenly to cash.

F.) An entry debiting cash and crediting accounts payable for $12,500 was mistakenly not posted.


Please answer which one is it. Thank you!

Answers

Answer:

__________

Step-by-step explanation:

Is the answer A?

BRAINLIEST + 25 POINTS
Part A: a^2 + 6 for a = 5

Part B: Show your work and/or explain how you arrived at your answer

Answers

Answer:

31

Step-by-step explanation:

Plug in 5 as a into the expression:

a² + 6

(5)² + 6

25 + 6

= 31

So, the answer is 31 when a = 5

substitute a=5 into the equation.

5²+6

25+6=31

hope that helps^^

Create a word problem that can be represented by the expression in number 4. –6 ÷ 1 1/3 ​

Answers

Answer:

I suppose that we want to use the expression in number 4.

The expression we need to use is:

6/(1 + 1/3)

This is:

"the quotient between the number 6 and the number 1 and 1/3"

We could write a problem like:

"We have 1 and 1/3 pounds of apples, and we have 6 grams of caramel that we want to divide evenly between all the apples. How much caramel we will have in each pound of apples?"

Then we need to divide the total amount of caramel by the total amount of apples, this is:

(6gr)/(1 + 1/3 lb) = (6/(3/3 + 1/3  )) gr/lb = (6/ 4/3) gr/lb = 6*(3/4) gr/lb

= 18/4 gr/lb =  (16 + 2)/4 gt/lb = 16/4 gr/lb + 2/4gr/lb = 4 gr/lb + 1/2 gr/lb

= (4 and 1/2) gr/lb

need help on this question plz answer

Answers

Answer:

x≥31

Step-by-step explanation:

3x≥120-27

3x≥ 93

x ≥ 93/3

x≥31

Answer is x≥31

Answer:

x > 31

Step-by-step explanation:

3x > 93

x > 93/3

x > 31

At 1:00 a.m., the temperature is 58º. At 9:00 a.m., the temperature is 76º. Find the rate of change in degrees per hour during this time.​

Answers

Answer:

1 AM = 58 Degrees

9 AM = 76 Degrees

Difference of temperate between the times:

18 Degrees

Divide every hour that passes by the total difference of temperate, which the hours are: 2, 3, 4, 5, 6, 7, 8, 9

18 / 8 = 2.25

Which means, the rate of change in degrees per hour is 2.25 degrees.

Step-by-step explanation:

Benjamin has 16 coins in his wallet consisting of quarters and dimes. The total worth of
the coins is $3.10. Benjamin created two linear equations to model this scenario, where
q represents the number of quarters in his wallet, and d represents the number of
dimes.

Answers

Answer:

6 dimes & 10 quarters

Step-by-step explanation:

Here are the two equations. The first one deals with the numbers of coins. The second one deals with the values of the coins.

d + q = 16

0.1d + 0.25q = 3.1

Solve the first equation for d and plug into the second equation.

d = 16 - q

0.1(16 - q) + 0.25q = 3.1

1.6 - 0.1q + 0.25q = 3.1

0.15q = 1.5

q = 10

d + q = 16

d + 10 = 16

d = 6

Answer: 6 dimes & 10 quarters

Benjamin has 6 dimes and 10 quarters.

What is linear equation?

A linear equation is  defined as an equation in which the highest power of the variable is always one.

Given that two equations,

d + q = 16

0.1d + 0.25q = 3.1

Where q represents the number of quarters in his wallet, and d represents the number of dimes.

d = 16 - q

0.1(16 - q) + 0.25q = 3.1

1.6 - 0.1q + 0.25q = 3.1

0.15q = 1.5

q = 10

d + q = 16

d + 10 = 16

d = 6

Hence Benjamin has 6 dimes and 10 quarters.

Learn more about linear equation

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Plz help with the problem in the picture. Thanks

Answers

x = 3.4

They call me human calf

Answer:  x(0,0)y(0,0) tell me more I don't really understand it

x=3.4

Step-by-step explanation:

which is a common denominator of 1/4 and 3/5?
and
A.
9

B.
15

C.
16

D.
20

Answers

Answer:

20

Step-by-step explanation:

What is the volume of this rectangular prism?
cm
3
cm
5
cm
3
cm

Answers

Answer:

2cm³

Step-by-step explanation:

Describe what you notice when you create the inverse ratio.

Answers

➜︎Question
Describe what you notice when you create the inverse ratio.

- How do you describe it?

- What do you notice?

- How do you create it?

➜︎Answer
A function composed with its inverse function yields the original starting value. Think of them as "undoing" one another and leaving you right where you started. Basically speaking, the process of finding an inverse is simply the swapping of the x and y coordinates.

- You can describe a inverse ratio by saying how it works

- You can notice the difference

- You could possibly know

What is the equation of the function that is graphed as line b?
YA
D.
5
Oy=2x+1
O y=-4x

Answers

Answer:

C

Step-by-step explanation:

so taking the slope from the points (0,1) and (2,2)

we get slope= 2-1/2-0=1/2 the y intercept is one

so y=mx+b(where m is the slope and b is the y intercept)

we get= y=1/2x+1

which is C

if my answer helps please mark as brainliest.

5x - 4 = 2 (x + 3) + x

Answers

Step-by-step explanation:

5x - 4 = 2x + 6 × x

-----> 5x-3x = 6 + 4

-----> 2x = 10

----> x = 5

How long will it take John to walk 9 miles if he is walking at a speed of 3 miles per hour?
A.
5 hours
B.
4 hours
C.
9 hours
0 O
D.
3 hours

Answers

Answer:D. 3 hours

Step-by-step explanation:

The answer is D.

But I doubt he'll be walking for three hours straight.

help me please!!!!!....

Answers

If it’s Kano look it up there is either a pdf or a pic of all the answers

Un jugador encesta con probabilidad de 0.73 Calcula la probabilidad de que al tirar 6 veces enceste:
a) al menos 4 veces
b) ninguna vez
c)todas las beces
d)dos veces
e) menos de tres veces
f) 5 o mas veces​

Answers

I don’t speak this language can please

4x 4/4 is equal to 1 , since 4/4 is equal to 1

Answers

Answer:

False, it is equal to 4.

Step-by-step explanation:

The current question asks that 4 x 4/4 is equal to 1, since 4/4 is equal to 1, but this stems from a gross misinterpretation of mathematics.

Although it is true that 4/4 is equal to one, since the 4 parts that make up an integer are completed, when multiplying the number 1 4 times this mathematical operation will result in 4, since 4 x 1 = 4.

What are these negative fractions converted to positive ones (I suck at math so I need an explanation): -5/6, -7 3/8, -3/11

Answers

Answer:

multiply each by -1

-5/6 x -1 = 5/6

-7 3/8 x -1 = 7 3/8

-3/11 x -1 = 3/11

Step-by-step explanation:

PLS HELP ITS URGENT!! ANSWER FOR POINTS

A random sample of 95 halogen light bulbs had a mean life of 531 hours with a standard
deviation of 33 hours. Construct a 90% confidence interval for the mean life of all light bulbs
of this type.
A) 525.4 < u <536.6
B) 515.3< u < 526.9
C) 527.2 < u <531.8
D) 523.8 < u < 529.5

Answers

a
and i have to write more people brainly wants me to

The second derivative of the function f is given by f" (x) = sin(x^2/8)-2 cos x. The function f has
many critical points, two of which are at x = 0 and x= 6.949. Which of the following statements is
true?

Answers

The answer choice which is true about the function f as described in the task content is; Choice D; f has a local maximum at x=0 and at x=6.949.

Which answer choice represents a true statement about function f?

Since the equation which represents the second derivative of the function f is given; we have that;

By evaluating f'' (x) at each of the given values of x; we have that;

f'' (0) = sin ( 0² / 8 ) - 2 cos (0) = 0 - 2 (1) = -2

f'' (6.949) = sin ( 6.949² / 8 ) - 2 cos (6.949)

f'' (6.949) = -1.880.

On this note; since -1.880 < 0 and also, -2 < 0; it follows that the function f has a local maximum at x = 0 and x = 6.949.

Complete question includes answer choices;

a) f has a local minimum at x=0 and at x=6.949.

b) f has a local minimum at x=0 and a local maximum at x=6.949.

c) f has a local maximum at x=0 and a local minimum at x=6.949.

d) f has a local maximum at x=0 and at x=6.949.

Read more on local maximum and local minimum;

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During peak growing season, the kudzu vine can grow 6 inches in 12 hours. What is the growth
rate of kudzu in inches per hour?
А 0.25 inches
B
0.5 inches
С
2.0 inches
D
6.0 inches

Answers

Answer:

b

Step-by-step explanation:

Answer:

The answer is B. 0.5 inches.

1.
2.
4.5 4
X 6
answer
bobo gago ​

Answers

Answer:

4.54 x 6 = 27.24

Step-by-step explanation:

Your question is kind of confusing but I suppose you mean: 4.54 x 6. The answer to that is 27.24.

6 family members share 1/4 of a of chocolate fudge what fraction of a pound does each family member get if they share equally .
A.24
B.1/10
C.1/24
D.10​

Answers

Answer:

The answer is 1/10

Step-by-step explanation:

HELPPPP
the last part says select 3 options​

Answers

Answer:

Last three options are correct answers.

Step-by-step explanation:

Hope it helps you in your learning process.

Answer:

Last 3 ones are correct.

Step-by-step explanation:

The first one isn't it, because there needs to be 3 y's.

The second one isn't it, because the numbers equal 112, which isn't equal to 1120.

So it says to select 3, which means that the last 3 ones are correct.

(sorry if I'm incorrect, I'm bad at these questions)

Components used in a cellular telephone are manufactured with nominal dimension of .3 mm and lower and upper specification limits of .295 mm and .305 mm respectively. the x bar and R control charts for this process are based on subgroups of size 3 and they exhibit statistical control, with the center line on the x bar chart at .3015 mm and the center line of the R chart at .00154 mm.
a) Estimate the mean and standard deviation of this process.
b) Suppose that parts below the LSL can be reworked, but parts above the USL must be scrapped. Estimate the proportion of scrap and rework produced by this process.
c) Suppose that the mean of this process can be reset by fairly simple adjustments. What value of the process mean would you recommend? Estimate the proportion of scrap and rework produced by the process at this new mean.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Xbar = 0.3015 ; Rbar = 0.00154

USL = 0.295 ; LSL = 0.305

For a subgroup size of 3 ; k = 3 ; d2 = 1.693

The mean = xbar = 0.3015 mm

The standard deviation = Rbar / d2 = 0.00154 / 1.693 = 0.0009096

b) Suppose that parts below the LSL can be reworked, but parts above the USL must be scrapped. Estimate the proportion of scrap and rework produced by this process.

P(X < 0.295)

(x - mean) / standard deviation

(0.295 - 0.3015) / 0.0009096 = 0.00003

0.00003 should be reworked.

P(X > 0.305)

1 - P(X < 0.305)

(x - mean) / standard deviation

(0.305 - 0.3015) / 0.0009096 = 3.847

1 - P(Z < 3.847)

1 - 0.99994

= 0.00006

0.00006 should be reworked.

c) Suppose that the mean of this process can be reset by fairly simple adjustments. What value of the process mean would you recommend? Estimate the proportion of scrap and rework produced by the process at this new mean.

Recommended mean = 0.3000 mm

P(X < 0.295)

(x - mean) / standard deviation

(0.295 - 0.3000) / 0.0009096 = 0.00003

0.00003 should be reworked.

P(X > 0.305)

1 - P(X < 0.305)

(x - mean) / standard deviation

(0.305 - 0.3000) / 0.0009096 = 5.497

1 - P(Z < 5.497)

1 - 0.99997

= 0.00003

0.00003 should be reworked.

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Which of the following would likely be one of your suggestions for measuring the effectiveness and success of a company's recruitment plan?A judge the general atmosphere in the work environment B evaluate the HR managers C determine the ratio of managers to nonD assess the results of various recruitment strategies used Optimum Tech i looking to hire a manager for its research and development. One of the major requirements for this position is that the person hired is able to fully assume job responsibility day 1 without too much orientation. Which of the following would probably be the best HR decision?They should seek an external candidate for the position They should seek an internal candidate for the positionthey should conduct a hiring analysis A company is hiring for several positions, Predict what would happen if they offered potential employees the opportunity to work a flexible schedule. More qualified employees would applymore single parents would applyLess internal candidates would apply less external candidates would applySpeedy trand is developing a personnel recruitment plan. The human resource department has forecasted the company's personnel needs, built an impressive pool of internal and external candidates, and developed an application to begin screening those applicants, The first thing they check for is an applicants age, since they dont want people who would be close to retirement. What could likely result from their process? They could be sued for failing to comply with employment lawsthey could be mandated to create an electronic application they could have trouble identifying applicants with criminal recordthey could have to outsource jobs.Which of the following should a company do before analyzing its competency gapsForecast future staffing needsoutsource less critical positionsdetermine the skills of its current employees consult an employment law expert Which set of numbers below DO NOT make a triangle?7,7,76, 3, 33,4,55, 11,7 What is the value of: (3.3) + (-1) - (-1.7) What is the solution to the equation? Mrs. Wilson wants to buy a portable TV for her kitchen. She has space on her counter for a TV that is 18 inches high by 15 inches wide. The store salesperson asks for the length of the diagonal. What should she tell him? Your friend thinks it is impossible for people and animals to live in the arctic. Write a letter to your friend explaining it is possible to live in the Arctic. Se lanzan 7 volados consecutivos y en todos ellos ha cado guila. Cul es la probabilidad de que en el dcimo volado tambin caiga guila? En todos los eventos la probabilidad ha sido ; por lo cual, en el dcimo volado sigue la misma probabilidad 1/2 Learning Task 1: Decide whether each of the listening strategies below should becategorized as top-down or bottom-up strategies. Write your answers in yournotebook.1. taking down notes2. listening for specific details3. identifying the speaker4. summarizing5. drawing inferences6. recognizing cognates7. recognizing divisions between words8. listening for the main idea9. recognizing word-order patterns10. making predictions Jessie stacked photographs of 6 zoo animals on top of each other to create a display. Each photo is 14 1/4 in. high. How high is the display? Please help!! . CONVECTION topic 9 HoMEwORk FrOm PEarSoN! 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True or False: Although several of the countries have gone through hard times in thepast 50 years, life and safety is improving in most of the countries.TrueFalse There are 5 4/5 cups of milk left in a carton. Write 5 4/5 as an improper fraction. Explain what the fraction represents in this situation.