1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Fofino [41]
3 years ago
11

A random sample of 100 workers in one large plant took an average of 12 minutes to complete a task, with a standard deviation of

2 minutes. A random sample of 50 workers in a second large plant took an average of 11 minutes to complete the task, with a standard deviation of 3 minutes. Construct a 95% confidence interval for the difference between the two population mean completion times.
Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
5 0

Answer:

The 95% Confidence Interval for the difference between the two population mean completion times =

(0.081, 1.919)

Step-by-step explanation:

Confidence Interval for difference between two means =

μ1 -μ2 ± z × √ σ²1/n1 + σ²2/n2

Where

μ1 = mean 1 = 12 mins

σ1 = Standard deviation 1 = 2 mins

n1 = 100

μ2= mean 2 = 11 mins

σ2 = Standard deviation 2 = 3 mins

n1 = 50

z score for 95% confidence interval = 1.96

μ1 -μ2 ± z × √ σ²1/n1 + σ²2/n2

= 12 - 11 ± 1.96 × √2²/100 + 3²/50

= 1 ± 1.96 × √4/100 + 9/50

= 1 ± 1.96 × √0.04 + 0.18

= 1 ± 1.96 × √0.22

= 1 ± 1.96 × 0.469041576

= 1 ± 0.9193214889

Confidence Interval

= 1 - 0.9193214889

= 0.0806785111

≈ 0.081

1 + 0.9193214889

= 1.9193214889

≈ 1.919

Therefore, the 95% Confidence Interval for the difference between the two population mean completion times =

(0.081, 1.919)

You might be interested in
The length of an insect’s wing, drawn at a scale of 50:1, is 15 cm. What is the actual length of the wing?
Mkey [24]
50*15cm=750cm
750cm long 
7 0
3 years ago
Read 2 more answers
Hey yall i need help again im just lazy but will mark brainlyest
ElenaW [278]

Answer:  1=1 question 2 = 1 again 5-6 is the next and 4 3-10  5-6 next answer2-7  3-8 5-4 -22--9 2-29 are all the answers

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
(SSS, SAS, AAS, ASA, HL)<br><br> Help me plzzzz
-Dominant- [34]
The answer is HL. We know this because it is a right triangle (:
7 0
3 years ago
What is 200% of 90?<br> Order from least to greatest?<br> 68% 0.63 13/20
Mandarinka [93]

200% of 90 is 180.

13/20=65/100 so

.63 < 13/20 < 68%

4 0
3 years ago
3/5 to second power times 25
Anestetic [448]
The answer is 9 because 3/5 to second power is 9/25 then you multiply it by 25 and you get 9
7 0
3 years ago
Other questions:
  • Write the expression as the sine, cosine, or tangent of an angle. cos 107° cos 42° + sin 107° sin 42°
    8·2 answers
  • If triangle ABC is a triangle with m∠C = 90°, which of the following must be true about angles A and B?
    13·1 answer
  • George found that he blinked 85 times in 15 minutes. At this rate, how many seconds passed during 51 blinks?
    10·1 answer
  • What is three fourths the square of a number in an algebraic expression?
    13·2 answers
  • Luisa recorded her dog’s weight, in kilograms, each week for 9 wk.
    15·1 answer
  • A large cylindrical cooler is 2 (1 )/2 feet high and has a diameter of 1 1/2 feet. It is filled
    12·1 answer
  • Please helpppppp? It's geometry
    6·1 answer
  • Multiply and simplify. 2x2y3z2 · 4xy4x2 how to do?
    12·1 answer
  • You are playing cards (52 cards in a deck) and you want to get a King (there are 4 kings in a deck of cards). You are going to d
    9·2 answers
  • it is the onion of set of whole numbers and the opposition of the set counting or natural numbers A. integers B. inverse C. Posi
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!