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
Lorico [155]
3 years ago
11

If you were to draw samples of size 47 from this population, in what range would you expect to find the middle 98% of most avera

ges for the lengths of pregnancies in the sample?
Mathematics
1 answer:
Alexeev081 [22]3 years ago
6 0

Answer:

The range of middle 98% of most averages for the lengths of pregnancies in the sample is, (261, 273).

Step-by-step explanation:

The complete question is:

The lengths of pregnancies in a small rural village are normally distributed with a mean of 267 days and a standard deviation of 17 days. If you were to draw samples of size 47 from this population, in what range would you expect to find the middle 98% of most averages for the lengths of pregnancies in the sample?

Solution:

As the sample size is large, i.e. <em>n</em> = 47 > 30, the central limit theorem can be used to approximate the sampling distribution of sample mean by the normal distribution.

So,\bar X\sim N(\mu,\ \frac{\sigma^{2}}{{n}})

The range of the middle 98% of most averages for the lengths of pregnancies in the sample is the 98% confidence interval.

The critical value of <em>z</em> for 98% confidence level is,

<em>z</em> = 2.33

Compute the 98% confidence interval as follows:

CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}

     =267\pm 2.33\cdot\frac{17}{\sqrt{47}}\\\\=267\pm5.78\\\\=(261.22, 272.78)\\\\\approx (261, 273)

Thus, the range of middle 98% of most averages for the lengths of pregnancies in the sample is, (261, 273).

You might be interested in
What is the root of -9 ? Thank you for help
stiks02 [169]
I don't think this is possible...

But if you mean 9 then the root is 3
7 0
3 years ago
Help please! What is 438 x 934? I'm timed (gc for the school peeps sending this to them)
KatRina [158]

Answer:

438 x 934=409092

Step-by-step explanation:

I hope this helps.

3 0
3 years ago
Mrs. Bull needs to be 46" tall to participate in the Glenwood Christmas Laser Tag Party. How many feet tall does
UkoKoshka [18]

Answer:

3.8333... ft

Step-by-step explanation:

1 ft = 12 inches

46 inches * (1 foot)/(12 inches) = 3.8333... ft

8 0
3 years ago
Read 2 more answers
682 rounded to the nearest hundred
defon
700, because 8 is 5 and up so it'll be rounded up.
4 0
3 years ago
Read 2 more answers
Which statement describes the graph of the system of equations below?
insens350 [35]
1.5x + 0.2y = 2.68....multiply by 0.3
1.6x + 0.3y = 2.98...multiply by - 0.2
------------------------
0.45x + 0.06y = 0.804 (result of multiplying by 0.3)
- 0.32x - 0.06y = - 0.596 (result of multiplying by - 0.2)
----------------------add
0.13x = 0.208
x = 0.208/0.13
x = 1.6

1.5x + 0.2y = 2.68
1.5(1.6) + 0.2y = 2.68
2.4 + 0.2y = 2.68
0.2y = 2.68 - 2.4
0.2y = 0.28
y = 0.28/0.2
y = 1.4

solution (they intersect at) (1.6,1.4)
8 0
3 years ago
Read 2 more answers
Other questions:
  • Help Please: Two boats start their journey from the same point A and travel along directions AC and AD, as shown below: What is
    6·1 answer
  • Describe the steps for making a conjecture using inductive reasoning
    12·2 answers
  • Write an equation for the value of the truck from bear tractors.
    10·1 answer
  • Which is a logical conclusion based on the information given in the figures
    14·1 answer
  • Please help I’ll mark you as brainliest if correct
    12·1 answer
  • What is the length of the base of a right triangle with an area of 24 square meters and a height of 4 meters
    8·2 answers
  • Yr is the circundcenter of ASTU, find each measures.
    8·2 answers
  • 31. Which number is both a factor of 60 and a multiple of 3? Select three that apply.
    13·1 answer
  • Seventeen times the difference of 15x and 12 is five hundred sixty-one
    8·1 answer
  • There are 3,785 milliliters in 1 gallon, and there are 4 quarts in 1 gallon. How many milliliters are in 3 gallons?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!