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
tatiyna
3 years ago
7

The Quality Control Department employs five technicians during the day shift. Listed below is the number of times each technicia

n instructed the production foreman to shut down the manufacturing process last week.
Technician Shutdowns Technician Shutdowns
Taylor 4 Rousche 3
Hurley 3 Huang 2
Gupta 5

Required:
a. How many different samples of two technicians are possible from this population?
b. List all possible samples of two observations each and compute the mean of each sample.
c. Compare the mean of the sample means with the population mean.
d. Compare the shape of the population distribution with the shape of the distribution of the sample means.
Mathematics
1 answer:
sveta [45]3 years ago
7 0

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data :

Technician __Shutdown

Taylor, T___4

Rousche, R _ 3

Hurley, H__ 3

Huang, Hu___2

Gupta, ___ 5

The Numbe of samples of 2 possible from the 5 technicians :

We use combination :

nCr = n! ÷ (n-r)!r!

5C2 = 5!(3!)2!

5C2 = (5*4)/2 = 10

POSSIBLE COMBINATIONS :

TR, TH, THu, TG, RH, RHu, RG , HHu, HG, HuG

Sample means :

TR = (4+3)/2 = 3.5

TH = (4+3)/2 = 3.5

THu = (4+2) = 6/2 = 3

TG = (4 + 5) = 9/2 = 4.5

RH = (3+3) = 6/2 = 3

RHu = (3+2) /2 = 2.5

RG = (3 + 5) = 8/2 = 4

HHu = (3+2) = 2.5

HG = (3+5) = 8/2 = 4

HuG = (2+5) / 2 = 3.5

Mean of sample mean (3.5+3.5+3+4.5+3+2.5+4+2.5+4+3.5) / 10 = 3.4

Population mean :

(4 + 3 + 3 + 2 + 5) / 5 = 17 /5 = 3.4

Population Mean and mean of sample means are the same.

This distribution should be approximately normal.

You might be interested in
If a = 7 and b = 11, what is the measure of ∠B? (round to the nearest tenth of a degree) A) 32.5° B) 39.2° C) 50.5° D) 57.5°
Ilia_Sergeevich [38]

Answer:

D) 57.5°

Step-by-step explanation:

As the question is not complete. So, let's suppose it is a right angle triangle then, we can apply Pythagoras theorem to calculate the hypotenuse or the third side.

Pythagoras Theorem = c^{2} = a^{2} + b^{2}

a = 7 and b = 11

a^{2} = 49

b^{2} = 121

Plugging in the values, we will get:

c^{2} = 49 + 121

c^{2} = 170

c = \sqrt{170}

To calculate the unknown angle B, we can use law of sine.

Law of sine = \frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}

So,

\frac{c}{sinC} = \frac{b}{sinB}

\frac{\sqrt{170} }{sin90} =  \frac{11}{sinB}

Sin90 = 1

sinB = \frac{11}{\sqrt{170} }

B = sin^{-1} (\frac{11}{\sqrt{170} })

B = 57.5°

8 0
3 years ago
Given the graph of a line y=−x. Write an equation of a line (there are many) which intersects the line, but is not perpendicular
BaLLatris [955]
This would be any equation whose slope isn’t -1 or 1.

If the slope was -1, the lines would be parallel because the have the same slope.

If the slope was 1, the lines would be perpendicular because 1 is the negative reciprocal of -1.

Any line with any other slope will intersect with y=-x.

Hope this helps!
5 0
2 years ago
What is the value of x
Gekata [30.6K]

Answer:

x=20

Step-by-step explanation:

Since angle RTS is a right angle, we have three similar triangles.

Thus, \frac{x}{25} = \frac{16}{x}

Cross Products, x^2=400

Take the square root: x=20

4 0
3 years ago
Read 2 more answers
Lydia has half of her investments in stock paying an 11% dividend and the other half in a stock paying 14% interest. If her tota
SVETLANKA909090 [29]

Based on the calculations, the amount of money she invested is equal to $3,520.

<h3>How to determine the amount invested?</h3>

First of all, we would assign variables to the amount of money that he invested at different interest rates as follows:

  • Let x be the amount of money she invested at 11%.
  • Let y be the amount of money she invested at 14%.

Since Lydia invested the same amount of money in both stocks, we have:

x = y     ....equation 1.

At the two interest rates, the total amount Lydia gets is given by:

0.11x + 0.14y = 440     ....equation 2.

Solving the equations simultaneously, we have:

0.11y + 0.14y = 440

0.25y = 440

y = 440/0.25

y = $1,760.

Thus, the total investment is given by:

Total investment = 1760 + 1760

Total investment = $3,520.

Read more on interest rates here: brainly.com/question/16793428

#SPJ1

8 0
1 year ago
How to write 5,484.366 in expanded form
Flauer [41]
5,000+400+80+4+.3+.06+.006
8 0
3 years ago
Other questions:
  • Which unit is not a measurement of volume? cm L ml cm3
    15·1 answer
  • How far does the ball travel, to the nearest tenths of a foot.
    9·1 answer
  • Solve the system of linear equations below. <br><br> X+y=4<br> 2x+3y=0
    9·2 answers
  • What is the relationship between percents and decimals
    11·1 answer
  • A fish population in a lake decreases by 2% each year. What is the common ratio? (Write your answer as a decimal)
    5·1 answer
  • Use the values in 9 = 2.2 and In 200 – 5.3 to find the approximate value of log, 200.
    5·1 answer
  • ayoo nye here i was useing this app for this work and this is what got that is not okay so if you just going to say hi or hello
    9·2 answers
  • Dave wants to build a rectangular screened-in porch that is 20 feet long, and it will extend 6 feet out from the backside of his
    5·1 answer
  • What is the value of x in the equation 5 x - y 5x - y = 30, when y = 15?​
    10·1 answer
  • Please help please 10 points
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!