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
slega [8]
3 years ago
7

450 high school freshmen were randomly selected for a national survey. Among survey participants, the mean grade-point average (

GPA) was 2.96, and the standard deviation was 0.21. What is the margin of error, assuming a 70% confidence level, to the nearest hundredth
Mathematics
1 answer:
umka21 [38]3 years ago
4 0

Answer:

The margin of error is of 0.01.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.7}{2} = 0.15

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.15 = 0.85, so Z = 1.037.

The margin of error is of:

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

Standard deviation was 0.21.

This means that \sigma = 0.21

Sample of 450:

This means that n = 450

What is the margin of error, assuming a 70% confidence level, to the nearest hundredth?

M = z\frac{\sigma}{\sqrt{n}}

M = 1.037\frac{0.21}{\sqrt{450}}

M = 0.01

The margin of error is of 0.01.

You might be interested in
A store sees 120 customers in 8 hours. What is the unit rate ( in customers per hour)?
N76 [4]

Answer:

15 per hour

Step-by-step explanation:

120 people / 8 hours = 15 peeps per hour!

8 0
3 years ago
Read 2 more answers
Solve the system of equations using substitution. Show your work<br> y=2x + 3<br> y=3x + 1
FrozenT [24]

Answer:

x=2 and y=7

Step-by-step explanation:

Step: Solvey=2x+3for y:

y=2x+3

Step: Substitute2x+3foryiny=3x+1:

y=3x+1

2x+3=3x+1

2x+3+−3x=3x+1+−3x(Add -3x to both sides)

−x+3=1

−x+3+−3=1+−3(Add -3 to both sides)

−x=−2

−x

−1

=

−2

−1

(Divide both sides by -1)

x=2

Step: Substitute2forxiny=2x+3:

y=2x+3

y=(2)(2)+3

y=7(Simplify both sides of the equation)

3 0
3 years ago
Analyze Relationships Julio and Jake reading assignments the same day Jake is reading a 168-page book at a rate of 24 pages per
lukranit [14]
24×1 1/4 is 30
Jake reads 24 per day
24×5=121
168-121=47
Julio reads 30 per day
30×5=150
180-150=30
Jake will have 17 more pages left to read than Julio.
5 0
3 years ago
Jijijjjjijij the question thingy
statuscvo [17]

Answer:

yes sir and thank u very good sir I am not sure how to get a new job

8 0
2 years ago
Read 2 more answers
Need help !!!!!!!!!!!!!!!!!!!!!!!
stich3 [128]
Answer:  " m∠SRW = 95 ° " .
________________________________________________

Since m∠TRV = 95° ; 

and:  ∠TRV and ∠SRW are vertical angles; 

and:  we are given:  " m∠TRV = 95° " ; 

and:  vertical angles are congruent; 

So, m∠TRV = m∠SRW = 95°  .
_______________________________________________
4 0
3 years ago
Other questions:
  • How do you graph equations
    5·1 answer
  • There are 3 boxes of tangerines. Each box has 93 tangerines. The tangerines will be divided equally among 9 classrooms. How many
    8·2 answers
  • What's 14 ten thousands + 12 thousand
    10·1 answer
  • You need 150g of flour for 12 cakes, how much flour do you need for 30 cakes?
    8·2 answers
  • 5. Kayla is making a scale drawing of a room in a house. The room
    7·1 answer
  • A market buys mixed nuts at $15 per pound. They want to make a 20% profit. What would you make for 1 pound of nuts ? ( show work
    6·1 answer
  • How do you write 3804 in words
    11·2 answers
  • 2.6 - c/0.2 = -15.9 find what c is
    8·1 answer
  • X2-8x+10=0 solve for x
    13·2 answers
  • Which angles are supplementary<br> to &lt;6? Select all that apply.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!