Two processes in a manufacturing line are performed manually: operation A and operation B. A random sample of 50 different assemblies using operation A shows that the sample average time per assembly is 8.05 minutes, with a population standard deviation of 1.36 minutes. A random sample of 38 different assemblies using operation B shows that the sample average time per assembly is 7.26 minutes, with a population standard deviation of 1.06 minutes.

Required:
For α = 0.10, is there enough evidence in these samples to declare that operation A takes significantly longer to perform than operation B?

Answers

Answer 1

Answer:

3.06

Step-by-step explanation:

The correct answer is - 3.06

Reason -

For sample A :

mean, [tex]\bar{x_{1} }[/tex] = 8.05          

Standard deviation, [tex]\sigma_{1}[/tex] = 1.36          

Size, [tex]n_{1}[/tex] = 50          

                 

For sample B :

mean, [tex]\bar{x_{2} }[/tex] = 7.26          

Standard deviation, [tex]\sigma_{2}[/tex] = 1.06          

Size, [tex]n_{2}[/tex] = 38

Now,

[tex]\bar{x_{1} }[/tex] - [tex]\bar{x_{2} }[/tex]  = 8.05 - 7.26 = 0.79

Standard deviation error, SE = √([tex]\sigma_{1}[/tex]²/[tex]n_{1}[/tex] + [tex]\sigma_{2}[/tex]²/[tex]n_{2}[/tex])  = 0.2580

Now,

Z-statistic = ([tex]\bar{x_{1} }[/tex] - [tex]\bar{x_{2} }[/tex] )/ SE

                = 0.79/0.2580

                = 3.06

⇒Z-statistic = 3.06


Related Questions

At a football game, a vender sold a combined total of 108 sodas hot dogs. The number of hot dogs sold was 52 less than the number of sodas sold Find the number of sodas sold and the number of hot dogs sold.

Answers

Answer:

28 hotdogs were sold and 80 sodas were sold.

'-''-'--'-'-'--''--'-'--'

Let ​g(x)=3x−1 and ​f(x)=x2+1. Find ​(g◦​f)(−5​).
​(g◦​f)(−5​)=nothing ​(Simplify your​ answer.)

Answers

Answer:

-384

Step-by-step explanation:

Solve for each function first.

g(-5) = 3(-5) - 1

g(-5) = -16

f(-5) = -5^2 + 1

f(-5) = -24

Multiply.

(fg)(-5) = (-16 x -24)

(fg)(-5) = -384

Not entirely sure if this is correct but this seemed the most obvious way to do it so I did it. Let me know if I'm wrong.

Select the correct difference. 5d^2 + 4d - 3 less 2d^2 - 3d + 4

Answers

Answer:

[tex]3d^2+ 7d- 7[/tex]

Step-by-step explanation:

Given

[tex]P_1 = 5d^2 + 4d - 3[/tex]

[tex]P_2 = 2d^2 - 3d + 4[/tex]

Required

P1 less P2

This means that we subtract P2 from P1.

So, we have:

[tex]P_1 - P_2 = 5d^2 + 4d - 3 - (2d^2 - 3d + 4)[/tex]

Remove bracket

[tex]P_1 - P_2 = 5d^2 + 4d - 3 - 2d^2 + 3d - 4[/tex]

Collect like terms

[tex]P_1 - P_2 = 5d^2 - 2d^2+ 4d + 3d- 3 - 4[/tex]

[tex]P_1 - P_2 = 3d^2+ 7d- 7[/tex]

The difference is: [tex]3d^2+ 7d- 7[/tex]

3|2z-4|-6>12
Solve for z

Answers

Answer:

312z-41-6>12

subtract -41-6

312z-47>12

add it on both sides

312z-47>12

      +47   +47

312z>59

divide 312 to both sides

z<0.189

Answer:

can someone help me pls i dont know 2x=4=

Step-by-step explanation:

NEEDED ASAP WILL GIVE BRAINLIEST TO BEST ANSWER

Answers

Answer:

for 14 is Surface are =2*(7*5+7*3+5*3)= 142 feet cube

for 13 Surface are= 2*(9*7.2+9*9+7.2*9)= 421 m cube

What do you need to do first to solve this equation? -62 +4= -20

Answers

Answer:

Add -62 and 4

Step-by-step explanation:

Step-by-step explanation:

-62+4=-20

-58=-20

58=20

Find the value of x in each figure

Answers

Answer:

Value of variable 'x' is 18.

Step-by-step explanation:

From the picture attached,

In right triangle XYZ,

m(∠YXZ) = (3x + 11)°

m(∠XYZ) = 90°

m(∠XZY) = 25°

By applying triangle sum theorem in the given triangle,

m(∠YXZ) + m(XZY) + m(∠XYZ) = 180°

(3x + 11)° + (25)° + (90)° = 180°

3x + 126 = 180

3x = 54

x = 18

Therefore, value of variable 'x' is 18.

Find the surface area of the rectangular prism below.

Answers

Answer:

630 ft

Step-by-step explanation:

(11 * 15) * 2 = 330 ft

(5 * 15) * 4 = 300 ft

330 + 300 = 630 ft

Sam is driving home from college. He is 220 miles away from home. If he can make it home in 4 hours, at what speed or velocity is he driving?
[Hint: Use d = vt.]

Answers

Answer: 55 miles per hour

Explanation: that hint is really useful
So if distance = velocity x time
That means 220 = v x 4 hours
To find v, divided 220 by 4
220 divided by 4 = 55
But I have a question:
Is he driving at a constant speed?
and is this 6th grade math? I’m in that grade but you can trust my answer
If im wrong, someone pls correct me
If im right, mark me brainliest pls, im broke, i have no points-
Goodluck!

Please help I’ll mark you as brainliest if correct!

Answers

Answer:

4 feet

Step-by-step explanation:

MN/RT=MO/RS

6/3=8/RS

6RS=24

RS=24/6

RS=4

SORRY IF LATE AND WRONG!!!

A circle has a radius of 12. what is the circumference of the circle

Answers

C=pi 2r
Pi 2 x 12
24 pi =75.36

Answer:

14 because of its addition

Step-by-step explanation:

πr²=x

=12+2+x

=14

PLEASE HELP ASAP ???

Answers

Answer:

-1

Step-by-step explanation:

Find the area of this circle.
6 in.

Use 3.14 for

Answers

I think the answer is 113.1

18.0 x 9 but with a decimal

Answers

when calculated your answer is 162

The area of a rectangle is 600 square meters. The width is 30 meters. What is the length?

Answers

Answer:

why is brainlys tutor system not free anymore

Step-by-step explanation:

I really need to know all of a sudden it's not free anymore

Answer:

A=L×W

600=L×30

600/30=L

L=20

therefore the length is 20m

In this activity, you will predict the probability of an event from the relative frequency of the event. Pablo has some one-, five-, ten-, and twenty-dollar bills in his wallet. He randomly pulls one bill out of his wallet and replaces it. He does this 40 times as part of an experiment. The table shows the number of times Pablo pulls out each bill.
Bill Value Number of Times Picked
$1 6
$5 16
$10 10
$20 8

Part A
What is the relative frequency of drawing a one-dollar bill?

Part B
What is the relative frequency of drawing a five-dollar bill?

Part C
What is the relative frequency of drawing a ten-dollar bill?

Part D
What is the relative frequency of drawing a twenty-dollar bill?

Part E
Which type of bill is Pablo most likely to have the most of? How do you know?

Part F
Which type of bill is Pablo most likely to have the least of? How do you know?

Part G
Would you be surprised if Pablo had fewer twenty-dollar bills than one-dollar bills? What if he had fewer tens than ones? Why or why not?

Answers

Answer:

Part A

6/40 = 0.15

Part B

16/40 = 0.4

Part C

10/40 = 0.25

Part D

8/40 = 0.20

Part E

The relative frequency of drawing a five-dollar bill is higher than the other relative frequencies. So, I can predict that Pablo is most likely to have more five-dollar bills than any of the others.

Part F

The relative frequency of drawing a one-dollar bill is lower than the other relative frequencies. So, I can predict that Pablo is most likely to have fewer one-dollar bills than bills of any other denomination.

Part G

It would not be a surprise if Pablo had fewer twenties than ones. The experiment was conducted only 40 times, and the numbers of times one-, ten-, and twenty-dollar bills were drawn are not very far apart. So, the number of twenties could be more or less than the number of ones. The same goes for tens and ones.

If you're on Plato an on slide 20 this Answer is for you:

If Pablo does an experiment 100 times, will the relative frequency be more accurate or less accurate than if he did the experiment 40 times? Why?

Answer: As the number of trials increases, the relative frequency becomes closer to the probability of the event. So, the relative frequency would be more accurate if the experiment were repeated 100 times rather than 40 times.

Nadia's monthly budget is $2,750. How much does Nadia spend on Rent in a month, in dollars and cents?

Answers

Answer:

990

Step-by-step explanation:

Simplify: 9^0. I’m a bit confused so can somebody please help me? (:

Answers

Answer:

the answer is 1 because the power of any no. 0 is always 1

Use slopes and y-intercepts to determine if the lines 6x+y=−1 and −2x−5y=1 are parallel.

Answers

Answer:

The two lines are not parallel.

Step-by-step explanation:

Every linear equation follows this structure:

y = mx + b

y is the y value

x is the x value

m is the gradient/slope of the line

b (or sometimes c) is the y-intercept of the line

Firstly, we have to get the y term on one side by itself.

6x + y = -1

-6x        -6x

y = -6x - 1

-2x -5y = 1

+2x         +2x

-5y = 2x + 1

Secondly, we make it so the y term is just the y value.

The first equation is already like this, so we don't need to do anything to that.

-5y = 2x + 1

÷ -5  ÷ -5

y = (2x + 1) / -5

This can be expanded and simplified to:

y = -2/5x - 1/5

Thirdly, we have to compare the slopes and y-intercepts.

y = -6x - 1

y = 2/5x - 1/5

If the slopes are the same and the y-intercepts are different, they are parallel. However, the slopes are different, therefore they are not parallel.

solve the 2x-1/4+3x-2/3=25/12​

Answers

Answer:

x=8/15

Step-by-step explanation:

2x-1/4+3x-2/3=25/12

2x+3x=25/12+1/4+1/3

5x=25/12+3/12+4/12

5x=32/12

5x=8/3

x=8/3÷5

x=8/15

Answer: 3 over 5

Step-by-step explanation:

3. The bakers at Healthy Bakery can make 240 bagels in 5 hours. How many bagels
can they bake in 13 hours? What was that rate per hour?

Answers

The answer is 624 bagels in 13 hours. The rate is 48 bagels per hour.

240/5 = 48

48 * 13 = 624

In order to oversee airport security, the government created
o the Patriot Act.
O the 9/11 Commission
O the Transportation Security Administration,
O the Department of Homeland Security

Answers

Answer:

C. The Transportation Security Administration

Step-by-step explanation:

Its C

The Transportation Security Administration was founded on 19 November 2001 to improve and safeguard transportation at the United States airports.

What is the Transportation Security Administration?

The Transportation Security Administration is one if the departments in the United States government whose primary function is to oversee the security of the country at airports.

The department was founded on 19 November 2001 to improve and safeguard transportation at the United States airports.

Learn more about airports: https://brainly.com/question/15195602

Marie bought a shirt on sale. The original price of the shirt was $40. What is the sale price of the shirt after a 20% discount?

Answers

Answer:

s

Step-by-step explanation:

Find the probability that a randomly
selected point within the circle falls
in the red shaded area.
r = 4 cm
2.5 cm
3 cm
3 cm
[? ]%
Round to the nearest tenth of a percent.
PLEASE

Answers

Answer:

38.8%

Step-by-step explanation:

This is a very famous computer solution called the Monte Carlo Method. It's like throwing darts at an enlarged diagram. You will always be inside the circle.

The red triangle has an area = 1/2 h * b

The red triangle has an area = 1/2 * (2.5 + 4) * (3 + 3)

The red triangle area = 1/2 6.5 * 6

The red triangle area = 19.5

The area of the circle = pi * r^2

pi = 3.14

r = 4

The area of the circle = 3.14 * 4^2

The area of the circle = 50.24

% = (19.5/50.25) * 100

% = 38.8%

What is the measure of angle x?
108°
43°
29
A. None of these
B. 43°
C. 29°
D. 108

Answers

Answer:

IF THERE IS A LINK DON'T CLICK ON IT

Step-by-step explanation:

IT'S A COMPUTER PHONE AND TABLET VIRUS

Someone Please help me

Answers

Answer:

B. $104.95

Step-by-step explanation:

$160.45-$55.50=$104.95

The answer is $104,95

Which inequality can be used to find the domain of

Answers

Answer:

1/2 x -10 ≥ 0

Step-by-step explanation:

We know that a square root must have an answer that is greater that or equal to zero.  The result of a square root cannot be negative. What is inside the square root must be greater than or equal to zero.  To find the domain we solve that equation to determine the value of x.

1/2 x -10 ≥ 0

What is the quotient of (x^3 + 8) divided by (x + 2)?

Answers

Answer:

(x^3 +8)/(x+2) = x^2 -2x +4

Step-by-step explanation:

Three triangles are drawn on the same piece of paper such that no two sides are on the same line. What is the maximum number of points of intersection of the three triangles?

Answers

Answer:

6

Step-by-step explanation:

You purchase a new car for $24,000. If you obtain a 5 year bank loan at 2.75% compounded monthly, what is your monthly loan payment?

Answers

Answer:

The monthly loan payment is of $458.88.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Amount owed after 5 years:

Loan of 24000 means that [tex]P = 24000[/tex]

5 years means that [tex]t = 5[/tex]

Interest rate of 2.75% means that [tex]r = 0.0275[/tex]

Compounded monthly means that [tex]n = 12[/tex]

The amount is A(5). So

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(5) = 24000(1 + \frac{0.0275}{12})^{12*5}[/tex]

[tex]A(5) = 27533[/tex]

What is your monthly loan payment?

$27,533 in 5 years = 5*12 = 60 months. So

27533/60 = 458.88

The monthly loan payment is of $458.88.

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