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
mamaluj [8]
3 years ago
8

The average height of 20-year-old American women is normally distributed with a mean of 64 inches and standard deviation of 4 in

ches. If you take a random sample of 4 women from this population and compute their average height. How likely this average height would be shorter than 63 inches
Mathematics
1 answer:
Murrr4er [49]3 years ago
7 0

Answer:

Probability that average height would be shorter than 63 inches = 0.30854 .

Step-by-step explanation:

We are given that the average height of 20-year-old American women is normally distributed with a mean of 64 inches and standard deviation of 4 inches.

Also, a random sample of 4 women from this population is taken and their average height is computed.

Let X bar = Average height

The z score probability distribution for average height is given by;

                Z = \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \mu = population mean = 64 inches

           \sigma = standard deviation = 4 inches

           n = sample of women = 4

So, Probability that average height would be shorter than 63 inches is given by = P(X bar < 63 inches)

P(X bar < 63) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{63-64}{\frac{4}{\sqrt{4} } } ) = P(Z < -0.5) = 1 - P(Z <= 0.5)

                                                        = 1 - 0.69146 = 0.30854

Hence, it is 30.85%  likely that average height would be shorter than 63 inches.

You might be interested in
The radius of a circle is 18 meters. What is the circle's area?
ankoles [38]

Answer:

200.96 sq. meters.

Step-by-step explanation:

The formula for the area of a circle is \pi r^(2). To solve for the area, use the given values, pi is 3.14 and the radius is 18. This gives you the new equation of (3.14)(18)^2. Solve algebraically, first raising the radius to the power of 2, and then multiplying.

5 0
2 years ago
During a relay, Natasha swam 0.8 km and Kevin swam 500 m. How many meters did they swim in total?
Savatey [412]
I wanna say its 16
(not 100% sure)
6 0
3 years ago
Read 2 more answers
6. Solve the following equation for x. Show each step.<br> 5x + 2 = 3x + 4(2x - 1)
monitta

Answer:

x=1

Step-by-step explanation:

5x + 2 = 3x + 4(2x - 1)

Distribute the 4

5x + 2 = 3x + 8x - 4

Combine like terms

5x + 2 = 11x - 4

Subtract 5x from each side

5x -5x + 2 = 11x - 5x - 4

2 = 6x-4

Add 4 to each side

2+4 = 6x-4+4

6 = 6x

Divide each side by 6

6/6 =6x/6

1= x

4 0
2 years ago
Read 2 more answers
Can someone please help me asappp!
alekssr [168]

Answer:

50

Step-by-step explanation:

4 0
3 years ago
Divide: (x2 – 3x – 33) = (x + 4)
katovenus [111]

Answer:

x-7-5/x+4

So answer C

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • A statistics professor asked students in a class their ages. On the basis of this information, the professor states that the ave
    14·1 answer
  • What is a function and how does it work?
    12·1 answer
  • mr tan buys 4 white pine trees and 5 birch trees what is the vost of the trees show your work and explain how you found answer n
    13·1 answer
  • Which points have x coordinates that are greater than 6?
    7·1 answer
  • What is the perimeter
    8·1 answer
  • Why is it useful to rewrite a formula in terms of another variable?
    12·1 answer
  • I need help on number 6 cuz I’m saying it’s F while my friend is saying that it’s H ‍♀️
    10·2 answers
  • NO LINKS PLEASE the question and answer is below
    6·2 answers
  • If y varies inversely as x and<br> y1/8<br> 1 when x- 16, find y when<br> 2/3
    13·1 answer
  • Help me please please please
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!