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

Helpp!!! I’ll mark as brainlistt

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Your answer is 78.5!

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Answer:

I KNOW THE ANSWER ITS  5000

Step-by-step explanation:

SUB to sir sir bmgo

What are some random numbers that add up to 50?

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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:

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Answer : 0.3 as it’s 6/20 :)

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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

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6

to 33.

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Answer:

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Step-by-step explanation:

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

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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:

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
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3

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Answer:

LEavel ^ 9-8=1

Step-by-step explanation:

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

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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 ,

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

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https://brainly.com/question/7116550

#SPJ1

The price of the sweater was reduced by 40%

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The answer is here have a good day :)

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

HELP ASAP NO LINKS PLEASE HELP​

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the answer is D !!!!!!

please help with this :D

Answers

Answer:

130°-85°=45°

x=45°

Hope it will help you

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

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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

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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)

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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

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Step-by-step explanation:

I hope this helps!


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
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C. 150 milliliters
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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

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16

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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
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0.25 is the answer

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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

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

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class earned on a recent math test.

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_______________________________________

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14. What is the median score for the

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

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

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1/2

Answers

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

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Answers

9514 1404 393

Answer:

  1) 2/3

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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)

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__

2)

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Answer:

x=22

Step-by-step explanation:

two interior angles = exterior angle

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

4x+8=3x+30

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Answers

Answer:

1230

Step-by-step explanation:

i multipled to see what i was gone get

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Answers

Answer:

161

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18 meters in 15 minutes

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Formart:

18y=15mx/m

I rlly didn’t know what yhu needed

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

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

Pls help 10 ptsssssssssssss
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Answers

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

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

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