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
Mashcka [7]
3 years ago
7

A population has a mean of 84 and a standard deviation of 12. A sample of 36 observations will be taken. The probability that th

e sample mean will be between 80.54 and 88.9 is
Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
7 0

Answer:

The probability that the sample mean will be between 80.54 and 88.9 is 0.951

Step-by-step explanation:

* Lets revise some definition to solve the problem

- The mean of the distribution of sample means is called M

- The standard deviation of the distribution of sample means is

 called σM

- σM = σ/√n , where σ is the standard deviation and n is the sample size

- z-score = (M - μ)/σM, where μ is the mean of the population  

* Lets solve the problem

∵ The sample size n = 36

∵ The sample mean M is between 80.54 and 88.9

∵ The mean of population μ = 84

∵ The standard deviation σ = 12

- Lets find σM to find z-score  

∵ σM = σ/√n

∴ σM = 12/√36 = 12/6 = 2

- Lets find z-score

∵ z-score = (M - μ)/σM

∴ z-score = (80.54 - 84)/2 = -3.46/2 = -1.73

∴ z-score = (88.9 - 84)/2 = 4.9/2 = 2.45

- Use the normal distribution table to find the probability

∵ P(-1.73 < z < 2.45) = P(2.45) - P(-1.73)

∴ P(-1.73 < z < 2.45) = 0.99286 - 0.04182 = 0.95104

∴ P(-1.73 < z < 2.45) = 0.951

* The probability that the sample mean will be between 80.54 and 88.9

  is 0.951

You might be interested in
Simplify: -4(2 - 8x)
Leno4ka [110]

Answer:

32 − 8

Step-by-step explanation:

1. Rearrange terms

− 4 (2 − 8)

− 4 (− 8 + 2)

2. Distribute

− 4 (− 8 + 2)

<u><em>32x - 8</em></u>

3 0
3 years ago
Find the length of side y
Serggg [28]

Answer:

\large\boxed{y=76.3359\ cm\approx76.3\ cm}

Step-by-step explanation:

Use cosine:

cosine=\dfrac{adjacent}{hypotenuse}

We have

adjacent=73\ cm\\hypotenuse=y

and the angle 17°.

\cos17^o\approx0.9563

Substitute:

\dfrac{73}{y}=0.9563             <em>convert the decimal to the fraction</em>

\dfrac{73}{y}=\dfrac{9563}{10000}          <em>cross multiply</em>

9563y=730000           <em>divide both sides by 9563</em>

y=\dfrac{730000}{9563}

y\approx76.3359

8 0
3 years ago
Mathematics Mh Slope
gizmo_the_mogwai [7]

Answer:y=-3x+4

Step-by-step explanation: use the y=mx+b equation.

6 0
3 years ago
Read 2 more answers
What is 2/5 of 25?? Need helpppppppp
mrs_skeptik [129]
10
Workings out
(2/5)*25=10
3 0
3 years ago
Roll a dice. Chance of it landing on a 6 is ? In ?
ohaa [14]
It is a 1 to 6 ratio
4 0
3 years ago
Read 2 more answers
Other questions:
  • 2. Jacob Thomas had a deposit of two checks: $341.79 and $17.96;
    14·1 answer
  • At its first stop, a bus picked up 17
    8·1 answer
  • Simplify the number using the imaginary unit i.<br> √(-25)
    5·1 answer
  • Find an angle at home. Measure the angle. Record the measure. Classify the angle.
    13·1 answer
  • Which values are solutions to the inequality below? <br> X^2 &gt;10
    6·1 answer
  • Which is another way to write 3 tens 9 ones
    15·1 answer
  • Please help me i will give brainlist to the correct answer​
    8·1 answer
  • You roll a number cube twenty times and it lands on a 3 five times. What is the
    15·1 answer
  • 14. A bag contains 20 marbles. There are 4 blue
    10·1 answer
  • Find the gradient of the line joining the points P(2,5) and Q(4,-2).​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!