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
nadya68 [22]
3 years ago
7

A committee at the College Board has been asked to study the SAT math scores for students in Pennsylvania and Ohio. A sample of

45 students from Pennsylvania had an average score of 580, whereas a sample of 38 students had an average score of 530. The sample standard deviations for Pennsylvania and Ohio are 105 and 114 respectively. Does the study suggest that the SAT math score for students in Pennsylvania and Ohio differ
Mathematics
1 answer:
ozzi3 years ago
5 0

Answer:

Step-by-step explanation:

From the given information:

The null hypothesis and the alternative hypothesis can be computed as:

H_0 :\mu_1 -\mu_2 = 0   (i.e. there is no difference between the SAT score for students in both locations)

H_1 :\mu_1 -\mu_2 \geq0 (i.e. there is a difference between the SAT score for students in both locations)

The test statistics using the students' t-test  for the two-samples; we have:

t = \dfrac{\overline x_1 -\overline x_2}{\sqrt{\dfrac{s_1^2}{n_1}+\dfrac{s_2^2}{n_2} } }

t = \dfrac{580 -530}{\sqrt{\dfrac{105^2}{45}+\dfrac{114^2}{38} } }

t = \dfrac{50}{\sqrt{\dfrac{11025}{45}+\dfrac{12996}{38} } }

t = \dfrac{50}{\sqrt{245+342 } }

t = \dfrac{50}{\sqrt{587} }

t = \dfrac{50}{24.228}

t = 2.06

degree of freedom = (n_1 + n_2 ) -2

degree of freedom = (45+38) -2

degree of freedom = 81

Using the level of significance of 0.05

Since the test is two-tailed at the degree of freedom 81 and t = 2.06

The p-value  = 0.0426

Decision rule: To reject H_o  if the p-value is less than the significance level

Conclusion: We reject the H_o , thus, there is no sufficient evidence to conclude that there is a significant difference between the SAT math score for students in Pennsylvania and Ohio.

You might be interested in
Which of the following is a monomial???
aleksandrvk [35]
Monomial is a product of numbers and variables in any whole power.
Examples of monomials: 5, y, 2x, 2x⁷, 2xyz, 6x²y¹⁰⁰.
Monomial cannot have log,subtraction or addition, negative power.
x/y=xy⁻¹

So, only monomial here is A.y
7 0
2 years ago
Which of the following is a non-real complex number?
Nat2105 [25]
A I think Sorry if it’s wrong
8 0
2 years ago
Please help me find the area of this triangle
Paladinen [302]

Answer:

120m^2

Step-by-step explanation:

24*10=240

240/2=120

7 0
2 years ago
Read 2 more answers
on a certain hot Summer's Day 613 people use the public swimming pool the daily prices are $1.75 for children $2.25 for adults t
Elodia [21]

389 children and 224 adults were at the pool that day.

Step-by-step explanation:

Cost of one child ticket = $1.75

Cost of one adult ticket = $2.25

Total people = 613

Total receipts worth = $1184.75

Let,

Number of children = x

Number of adults = y

According to given statement;

x+y=613    Eqn 1

1.75x+2.25y=1184.75    Eqn 2

Multiplying Eqn 1 by 1.75

1.75(x+y=613)\\1.75x+1.75y=1072.75\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(1.75x+2.25y)-(1.75x+1.75y)=1184.75-1072.75\\1.75x+2.25y-1.75x-1.75y=112.00\\0.50y=112.00

Dividing both sides by 0.50

\frac{0.50y}{0.50}=\frac{112.00}{0.50}\\y=224

Putting y=224 in Eqn 1

x+224=613\\x=613-224\\x=389\\

389 children and 224 adults were at the pool that day.

Keywords: linear equation, subtraction

Learn more about linear equations at:

  • brainly.com/question/11236033
  • brainly.com/question/11306893

#LearnwithBrainly

6 0
3 years ago
-0.75 7/8 and - 5/8 in order from least to greatest
VMariaS [17]
Hello there!

The answer is:
-5/8
-0.75
7/8
5 0
3 years ago
Other questions:
  • Round 87,162 to the nearest thousand
    11·2 answers
  • What is the percent change, rounded to the nearest thousandth, if 36 is decreased to 15
    11·1 answer
  • 4 inches away from a playground the scale of the map is 1 inch represents 5.25 meters how far apart are the actual pond and play
    5·1 answer
  • What is the equation of a line that passes through (-2,-3) and is perpendicular to 2x-3y=6
    10·1 answer
  • Need help please on geometry
    8·2 answers
  • Kygtytvhgcvgcvjfcgfc jgcffj are
    11·1 answer
  • I need help solving this equation does anybody know what x is? 5+x+(-2)=-8
    14·2 answers
  • Find the value of x, given cos 0 = 0.4<br><br><br><br> PLEASE HELP!!!!!! And explain if possible
    9·1 answer
  • Find the value of x. due today
    10·1 answer
  • SOLVE THIS <br>VERY IMPORTANT QUESTION​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!