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
LekaFEV [45]
4 years ago
13

A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than ex

amine the records for all students, the dean randomly selects 200 students and finds that 118 of them are receiving financial aid. Use a 99% confidence interval to estimate the true proportion of students on financial aid, with limits rounded to four decimal places.
Mathematics
1 answer:
schepotkina [342]4 years ago
6 0

Answer:

Step-by-step explanation:

Mean = np

Where

n = number of students

p = probability of success

n = 200

p = 118/200 = 0.59

mean = 200 × 0.59 = 118

Standard deviation, s = √npq

q = 1 - p = 1 - 0.59

q = 0.41

s = √(200 × 0.59 × 0.41)

s = √48.38 = 6.956

For a confidence level of 99%, the corresponding z value is 2.58. This is determined from the normal distribution table.

We will apply the formula

Confidence interval

= mean ± z ×standard deviation/√n

It becomes

118 ± 2.58 × 6.956/√200

= 118 ± 2.58 × 0.492

= 118 ± 1.2694

The lower end of the confidence interval is 118 - 1.2694 = 116.7306

The upper end of the confidence interval is 118 + 1.2694 = 119.2694

You might be interested in
5x10^1
____ [38]
1. 50
2. 5
3. 0.5
4. 0.05
5. 0.005

I hope you see the pattern here . When multiplying the exponent (the small number near the 10) determines the number of zeros to the RIGHT . When dividing the number determines how many zeros to the LEFT usually resulting in a decimal. This is called scientific notation.

Hope this helps!:)
5 0
3 years ago
ASAP please help please!!!
WITCHER [35]

Here, ∠1 and ∠2 are complementary angles which means they together are forming a right angle or we can also say that their sum is 90°.So, According to this:

\sf∠1 + ∠2 = 90

  • ∠1 = x-8
  • ∠2 = 6x

\sf \: x - 8 + 6x = 90

\sf \: 7x - 8 = 90

\sf \: 7x = 90 + 8

\sf \: 7x = 98

\sf \: x = 14

<h3>Now, </h3>

  • \tt∠1 = x - 8 \\  \tt = 14 - 8 \\  \tt = 6
  • \tt \: ∠2 = 6x \\  \tt = 6 \times 14 \\  \tt = 84

<em>Thus, The measure of m∠1 is 6° and measure of m∠2 is 84°...~</em>

7 0
2 years ago
Find the range of possible values for y.
nikdorinn [45]
I hope your not that lost now.

Finding the range of a function y=f(x) is the same as finding all values that y could be. To do this, we can think of it this way: The range of f(x) is all the y-values where there is a number x with y=f(x).
5 0
3 years ago
Prove: If a chord of a circle makes an angle of 30° with a diameter, prove that the distance from the center to the chord is one
Svet_ta [14]

Answer:

See explanation.

Step-by-step explanation:

Let BC be the diameter of the circle with center at point O, AB be the chord and ∠ABC=30°. OD is the distance from the center to the chord.

Consider triangle BDO. This triangle is special 30°-60°-90° right triangle. The leg OD is opposite to the angle of 30° and is half of the hypotenuse. The hypotenuse of the triangle BDO is BO. BO is the radius of the circle and is equal to half of the diameter AB. Thus,

OD=\dfrac{1}{2}BO=\dfrac{1}{2}\cdot \dfrac{1}{2}AB=\dfrac{1}{4}AB.

5 0
3 years ago
an owl travels 8 1/3 miles an hour and a seagull travels 12 1/2 miles in 2/3 hour. which animal is faster?
Simora [160]
Seagull because the owl has 5 5/9 and the sea 8 1/3
5 0
3 years ago
Read 2 more answers
Other questions:
  • in a theater, with 540 locations 65% have been sold, if each ticket costs € 25, what has been the collection?
    9·1 answer
  • an electrician's bank account on $7.50 and simple interest his account had an interest rate of 5% for the past 4 years what amou
    14·1 answer
  • The test scores for a group of students are shown.
    11·2 answers
  • Given the points (-3,4), (-1,5), (5,10) and (7,11) of a parallelogram. What transformation would translate the parallelogram so
    7·1 answer
  • Solve the quadratic equation by completing the square.<br> QUESTION ATTCHED BELOW!!!!!!!!!!
    12·2 answers
  • Please answer????? Need help
    6·2 answers
  • After paying 8.5% sales tax and leaving a 20% tip, Gwyn paid $57.29. What was the cost of the meal before tax and tip? Round you
    6·1 answer
  • What is the slope and equation of a line perpendicular to the y-axis passing through the point (-3,8)
    5·1 answer
  • Someone please help I’ve been spamming on this and no one has helped yet so please
    15·1 answer
  • Determine a set of three numbers that are divisible by both numbers shown. 5 and 2?​
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!