1. (20 points) One step in the manufacture of a certain metal clamp involves the drilling of four holes. In a sample of 150 clamps, the average time needed to complete this step was 72 seconds and standard deviation was 10 seconds. (a) Find a 99.5% confidence interval for the mean time needed to complete the step. (b) What is the confidence level of the interval (71, 73)? (c) How many clamps must be sampled so that 99.5% confidence interval specifies the mean to within ±1.5 seconds? (d) Can you conclude that the mean time needed to complete the step is greater than 73 seconds? i. State hypothesis. ii. Compute P-value. iii. What is your conclusion?

Answers

Answer 1

Answer:

(69.708 ; 74.292) ; 78% ; 350 ;

H0 : μ = 72

H0 : μ > 72

Pvalue = 0.8897

there is not enough evidence to support the claim that the mean time needed to complete the step is greater than 73.

Step-by-step explanation:

99.5% confidence level, = 2.807

Sample size, n = 150

xbar = 72

Standard deviation, s = 10

Xbar ± Margin of error

Margin of Error = Zcritical * s/sqrt(n)

Margin of Error = 2.807 * 10/sqrt(150)

Margin of Error = 2.292

Lower boundary = 72 - 2.292 = 69.708

Upper boundary = 72 + 2.292 = 74.292

(69.708 ; 74.292)

B.)

Confidence level of the interval (71, 73)

(72 - 71 ) or (73 - 72)

Margin of Error = 1

Margin of Error = Zcritical * s/sqrt(n)

1 = Zcritical * 10/sqrt(150)

1 = Zcritical * 0.8164965

Zcritical = 1 / 0.8164965

Zcritical = 1.2247

α = 0.22 = 1 - 0.22 = 0.78 = 78%

C.)

Margin of Error = ±1.5

1.5 = Zcritical * s/sqrt(n)

99.5% confidence level, = 2.807

1.5 = 2.807 * 10/sqrt(n)

1.5 = 28.07 / sqrt(n)

Square both sides

1.5² = 28.08² / n

2.25n = 788.4864

n = 788.4864 / 2.25

n = 350.4384

n = 350 samples

D.)

H0 : μ = 72

H0 : μ > 72

Test statistic :

(xbar - μ) ÷ s/sqrt(n)

(73 - 72) ÷ 10/sqrt(150)

Test statistic = 1.2247

Pvalue :

P(Z < 1.2247) = 0.8897

Pvalue > α

0.8897 > 0.005

We fail to reject the Null ; Hence there is not enough evidence to support the claim that the mean time needed to complete the step is greater than 73.


Related Questions

Ex: You invested $1000 in a savings account. The account pays 5% annual interest.
How much will be in the account after 6 years?||
1

Answers

Answer:

I KNOW THE ANSWER ITS  5000

Step-by-step explanation:

SUB to sir sir bmgo

what is the value of x?

Answers

Answer:

16

Step-by-step explanation:

8x-8 = 7x-8 (vert. opp. angles)

8x = 7x + 16

x = 16

18 meters in 15 minutes

Answers

Formart:

18y=15mx/m

I rlly didn’t know what yhu needed

keaton hasan aquarium 30 inches long, 24 inches wide and 15 inches high. if he fills the aquqrium with watef up to 4 inches from the top, what will be the volume of water in the aquarium?​

Answers

Answer:

7920

Step-by-step explanation:

Calculator

HELP PLSS IT'S VERY IMPORTANT
Determine the area of the composite figure.
Determine the perimeter of the composite figure.​​​​​

Answers

Answer:

area = 255 [tex]m^{2}[/tex]

perimeter = 20+6.7+8+8+15+26 = 83.7m

Step-by-step explanation:

top left triangle - base is 3 because (20-8-9).  so 1/2 bh = 1/2 (3) (6) = 9

left rectangle = l x w = 20 x 6 = 120

middle square = l x w = 8 x 9 = 72

lower right triangle = height is 12 because (26-8-6), so 1/2 bh =1/2 (9)(12) = 54

9+120+72+54 = 255

Helpp!!! I’ll mark as brainlistt

Answers

Your answer is 78.5!


Madelyne made 2 liters of fruit punch for her party. Her brother
drinks 500 milliliters before the party. How many milliliters of punch
does she have left?
A. 1.5 liters
B. 15 milliliters
10. Cassandra needs 2 meters of string
C. 150 milliliters
D. 1,500 mililiters
centimeters of string do

Answers

Answer: D 1,500

Step-by-step explanation:

Because there is 2,000 milliliters in 2 liters, so if we do 2,000 - 500 we get 1,500 left

Answer:

Both A and D

Step-by-step explanation:

Because 500 milliters is half of one liter which makes the total 1.5 liters or 1500 mililliters

Solve the following equation for x.

6x = 1.5

Answers

Answer:

x = .25

Step-by-step explanation:

6x = 1.5

Divide each side by 6

6x/6 = 1.5/6

Multiply the top and bottom by 10

x = 1.5*10/ (6*10)

x = 15/60

x = 1/4

x = .25

answer: x=0.25




work: 6x= 1.5

6x/6 = 1.5/6

simplify = 6 divided by 6 = 0
1.5 divided by 6 = 0.25

0.25 is the answer

please help with this :D

Answers

Answer:

130°-85°=45°

x=45°

Hope it will help you

Pls help 10 ptsssssssssssss
NO LINKS

Answers

Answer: If m=2, then 28 divided by 2 equals 14. Plug m into the equation.

HELP PLZZZ HELP I’ll give u BRAINLY

Answers

Answer:

1 Factor out the common term 22.

2(x+3y)=6

2(x+3y)=6

2 Divide both sides by 22.

x+3y=\frac{6}{2}

x+3y=

2

6

3 Simplify \frac{6}{2}

2

6

to 33.

x+3y=3

x+3y=3

4 Subtract 3y3y from both sides.

x=3-3y

x=3−3y

Answer:

x=3 and y=2

Step-by-step explanation:

I hope I"m right and if I am can I be marked brainliest.

need help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

9514 1404 393

Answer:

  1) 2/3

  2) 5x/2

Step-by-step explanation:

The fraction simplification process involves finding the largest common factor in the numerator and denominator, then dividing that from both.

1)

  [tex]\dfrac{8}{12}=\dfrac{2\cdot4}{3\cdot4}=\dfrac{2}{3}\cdot\dfrac{4}{4}=\dfrac{2}{3}\cdot1 =\boxed{\dfrac{2}{3}}[/tex]

__

2)

  [tex]\dfrac{15x^2}{6x}=\dfrac{5x\cdot3x}{2\cdot3x}=\dfrac{5x}{2}\cdot\dfrac{3x}{3x}=\dfrac{5x}{2}\cdot1=\boxed{\dfrac{5x}{2}}[/tex]

Calculate the circumference. show me process​

Answers

Answer:

Radius is 13

13 x 3.14 x 2 = 81.64

Formula of circumference:

2 x pie(3.14 or 22/7) x r (radius

Find the 20th term in the following
arithmetic sequence :
12, 15, 18, 21, ..

Answers

So basically its arithmetic sequence cause u keep on adding 3
Rule: an=a1+(n-1)d
12+(20-1)(3)
Answer : 69

In simplest form, what fraction of the figure is shaded?
2/3
3/4
5/6
7/8

2. Which fraction is equivalent to 3/9? *
1/4
1/3
2/5
1/2

Answers

5/6, 1/3 hope this helps :))

What are some random numbers that add up to 50?

Answers

Answer:

25+25, 40+10, 35+15 If that's your question, not sure. But if you mean what's divisible by 50, maybe 10, 5

Step-by-step explanation:

The price of the sweater was reduced by 40%

Answers

The answer is here have a good day :)

i-Ready
Equivalent Linear Expressions - Instruction - Level G
3
-2 +1+
4
2
) Write an expression that is equivalent to
2
3
1
20.
2
2
1
3
-2 +1+ 2
4
4
1
2
2
2 +
?
3

Answers

Answer:

LEavel ^ 9-8=1

Step-by-step explanation:

A 32 ft board is cut into three pieces at a sawmill. The second piece is 5 ft longer than the first and the third piece is 1 ft longer than the second.
What are the lengths of the three pieces?

Answers

Answer:

The first piece is 7 ft long, the second piece is 12 ft long, and the third piece is 13 ft long

Step-by-step explanation:

Let x represent the length of the first piece.

Since the second piece is 5 ft longer than the first, it can be represented by x + 5

Since the third piece is 1 ft longer than the second, it can be represented by x + 6

Create an equation that adds all of these terms up to 32, and solve for x

(x) + (x + 5) + (x + 6) = 32

3x + 11 = 32

3x = 21

x = 7

So, the first piece is 7 ft long.

Using the expressions we created, solve for the lengths of the second and third pieces.

x + 5

7 + 5 = 12

x + 6

7 + 6 = 13

The first piece is 7 ft long, the second piece is 12 ft long, and the third piece is 13 ft long

A rectangle is 13 feet long and 4 feet wide. Find its area.

Answers

Step-by-step explanation:

13 feet long

4 feet wide

13 + 4 = 17

feet long

feet wide

= feet wide

so 13 +14 = 17 feet wide

I'm trying to get this question but all i'm getting is links plz somebody answer my question i'm going to fail my I NEEED AN ANSWERRR
Use the table for 12–17.


In the table above, Mr. Maramonte

recorded the score each student in his

class earned on a recent math test.

12. What is the mean score for the students

in Mr. Maramonte’s class?

_______________________________________

13. What is the mean absolute deviation for

the scores to the nearest hundredth?

_______________________________________

14. What is the median score for the

students in Mr. Maramonte’s class?

_______________________________________

15. What is the mode of the data?

_______________________________________

16. Draw a box-and-whisker plot to display

the data.


17. What is the interquartile

Answers

I don’t know I’m so sorry but how are you today?

Can someone give me the answer plz.

Answers

Answer : 0.3 as it’s 6/20 :)

Tickets to a movie cost $5 for adults and $3 for students m. A group of friends purchased 18 tickets for $82. How many adults tickets did they buy?

Answers

Answer:

1230

Step-by-step explanation:

i multipled to see what i was gone get

for brainliest please help

Answers

The value of x in given figure is 100°

What do you mean by the term Angle ?

An angle is a geometric figure formed by two rays or lines that share a common endpoint, called the vertex. The rays or lines are called the sides of the angle, and they can be measured in degrees or radians.

An angle can be classified as acute, right, obtuse, or straight, depending on its measure. An acute angle is less than 90 degrees, a right angle is exactly 90 degrees, an obtuse angle is greater than 90 degrees but less than 180 degrees, and a straight angle is exactly 180 degrees.

According to question

In ΔABC ,

∠ C is 100°

So,the value of x is also 100°( by vertically opposite angle)

Learn more about Right angle here

https://brainly.com/question/7116550

#SPJ1

John is 70 years younger than Sharon. Sharon is 4 times as old as John.
If you let s = Sharon's age and j = John's age, then the problem can be represented by a system of equations. Which of the
following shows a graph of this system and the solution to this problem?
1

Answers

Answer:

j = 23 years-old s = 92 years old.

Step-by-step explanation:

j = s - 70

s = 4j

j = 4j - 70

-3j = -70

j = 70/3

j = 23

s = 92

Brainliest for correct answer

Answers

Answer:

one third of the volume

Step-by-step explanation:

Find the area of the composite figure

Answers

Answer:

161

(7*11)+(6*14)

answer 161

can you do this math test for me i need it done by 4:00​

Answers

Answer:

14. x=1, x=−9

x^2 + 8x + 20 = 29

x^2 + 8x + 4^2 = 9 + 4^2

(x + 4)^2 = 25

x + 4 = ± 5

15. x = -1/2, x = -3/2

4x^2+8x+3=0

x = -8 ± √8^2-4x4x3/2x4

x = -8 ± √64-4x4x3/2x4

x = -8 ± √64-16x3/2x4

x = -8 ± √64-48/2x4

x = -8 ± √16/2x4

x = -8 ± √4/2x4

x = -8 ± √4/8

x = -4/8

x = -1/2

x = -12/8

x = -3/2

16. -36

Use the values of  a,  b, and  c  to find the discriminant.

17. x=2, x=−2

3x^2 + 5 = 17

3x^2 + 5 - 17 = 0

3x^2 - 12 = 0

x^2 - 4 = 0

(x−2)(x+2)=0

x=2  x=−2

18. x=12

, x=−12

x^2 = 144

x^2 - 144 = 0

(x−12)(x+12)=0

x=12,

x=−12

19. x=2√5+3, x=3−2√5  

x−3=2√5

x−3=−2√5

x−3−(−3)=2√

5−(−3)

x−3−(−3)=−2√5−(−3)

x=2√

5−(−3)

x=−2√5−(−3)

x=2√5+3

x=3-2√5

20. t = -√24-h/4+1, t = √24-h/4+1, h≤24

Word bank:

A) zeroes

B) axis of symmetry

C) y-value of the vertex

Step-by-step explanation:

I hope this helps!

HELP ASAP NO LINKS PLEASE HELP​

Answers

the answer is D !!!!!!

please help asap!!!!!!!!!!!!!!!

Answers

Answer:

x=22

Step-by-step explanation:

two interior angles = exterior angle

2x+2x+8=3x+30

4x+8=3x+30

x=30-8

x=22

Other Questions
No links! Please!!Factor 28x+12y using the GFC A rectangular swimming pool has a width of 42 ft and a diagonal of 70 ft. Find the length of the pool. What are three stages of the learning journey that Kiran Bir Sethi talks about? may someone please help me I would appreciate it AYUDAAAAA!!! Partes de una cantidad Es para hoy en la tarde porfis:-| Anybody please help me Select the correct answer.Which of these is an example of diplomacy?A. the president submitting a proposal for an immigration bill to CongressB. students from different cultures attending school in each other's nationC. representatives from two nations working together to resolve a disputeD. Congress agreeing with the president's request to declare war on a nation Based on her diagram, what is the role of the sunfish in this food web?A. To break down waste products made by insect larvae B. To provide energy for the bass and snapper turtles C. To take in light from the sun and produce food D. To consume the algae and other pond plants What is the pH of a 4.7 x 10-9 M HCl solution? * 4.67 8.33 11.21 2.93 Universal Foods issued 10% bonds, dated January 1, with a face amount of $176 million on January 1, 2021 to Wang Communications. The bonds mature on December 31, 2035 (15 years). The market rate of interest for similar issues was 12%. Interest is paid semiannually on June 30 and December 31. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.) Required: 1. to 3. Prepare the journal entries to record the purchase of the bonds by Wang Communications on January 1, 2021, interest revenue on June 30, 2021 and interest revenue on December 31, 2028 Who is most likely to follow public opinion polls to help them make decisions? Members of the House of Representative, Senators or the President? Why? Please helpppppIn GHI the measure angle I = 90 the measure of angle G = 5 and IG = 57 feet. Find the length of GH to the nearest tenth of a foot select the correct answer if not watch out for your back mate What was the outcome of the battle of Cantigny? Please help! I need the work for this.log(3x-2)=3The answer is 334 I just need to know how to solve it. In a sample of 800 people, 420 are in favor of a proposed scoring system. A golf course wants to implement an electronic scoring system where shots are counted by satellites to reduce human error and to show real-time scores at the clubhouse. Is there enough evidence to conclude that the majority of the golfing community is a proponent of the new system at an alpha level of .05. Determine the number of tails for this problem, the critical value and the test statistic. The price of a DVD is $24.00 plus 8.25% sales tax. What is the sales tax on the DVD in dollars and cents?HELP pleaseeee helpppppI am sick. *5 pointsserestarHe is tall. *5 pointsserestarIt is May 5th. *5 pointsserestarWhere are you from? *5 pointsserestarThe book is on the desk. *5 pointsserestar 9+10=?I hope ya'll understand this when is a tree considered dead