need help with part C. And D. ### Comparison of SAT Scores Based on Parental Education LevelsThis section provides an analysis of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test taker's parents. A research hypothesis suggests that students whose parents have attained a higher level of education tend to score higher on the SAT. The overall mean SAT math score was **514** (College Board website, January 8, 2012). Presented below are SAT math scores for two independent samples of students.#### SAT Scores by Parental Education LevelsThe first sample consists of SAT math scores from students whose parents are college graduates with a bachelor’s degree. The second sample consists of SAT math scores from students whose parents are high school graduates but do not possess a college degree.##### Student's Parents Education Level**College Graduates:**- 672- 624- 672- 560- 512- 432- 560- 528**High School Graduates:**- 496- 492- 576- 576- 560- 420- 504- 480- 528- 516- 516- 516- 540- 540- 588- 588#### Hypothesis Formulation**a. Hypotheses Formulation:**To determine whether the sample data support the hypothesis that students tend to achieve higher math scores on the SAT if their parents have attained a higher level of education, we define two populations:- $\mu_1$: Population mean math score for students whose parents are college graduates.- $\mu_2$: Population mean math score for students whose parents are high school graduates.**Null Hypothesis ($H_0$):** $\mu_1 - \mu_2 \leq 0$**Alternative Hypothesis ($H_a$):** $\mu_1 - \mu_2 > 0$**b. Point Estimate Calculation:**To find the point estimate of the difference between the mean scores for the two populations (students whose parents are college graduates and students whose parents are high school graduates):\[\text{Point estimate} = \bar{X}_{\text{college grads}} - \bar{X}_{\text{high school grads}}\](Note: Calculating this point **SAT Score Analysis Based on Parents' Education Level**This section presents an analysis of SAT scores to test the hypothesis that students whose parents have attained a higher level of education show higher population mean math scores.### Hypothesis Formulation#### Definitions:- $ \mu_1 $ = Population mean verbal score of students whose parents are college graduates.- $ \mu_2 $ = Population mean verbal score of students whose parents are high school graduates.#### Hypotheses:- **Null Hypothesis ($ H_0 $)**: $ \mu_1 - \mu_2 = 0 $- **Alternative Hypothesis ($ H_a $)**: $ \mu_1 - \mu_2 \neq 0 $### Statistical Calculation**b. Point Estimate:**- Determine the point estimate of the difference between the means for the two populations up to one decimal place.\[ \text{Difference in means} = \_\_\_\_ \text{ points (Select your answer) if parents are college grads.} \]**c. P-value Calculation:**- Compute the p-value for the hypothesis test based on the t-value and degrees of freedom. - **t-value**: (to 3 decimal places) - **Degrees of freedom**: (round your answer to the previous whole number) - **p-value**: \_\_\_\_ (Select your answer)**d. Conclusion at $ \alpha = 0.05 $:**- Based on the computed p-value, we draw a conclusion to either reject or not reject the null hypothesis.\[ \text{We} \_\_\_\_ \text{ (Select your answer)} \text{ reject } H_0. \]This exercise involves comparing sample data from two groups based on the education level of parents to investigate if there is a significant difference in their SAT math scores. Calculations include estimating the difference in population means, computing t-values and p-values, and making a conclusion about the hypothesis at a significance level of 0.05.

From the given information, The first sample shows the SAT math test scores whose parents are…

The comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test taker's parents were provided. A research hypothesis was that students whose parents had attained a higher level of education would on average score higher on the SAT. The overall mean SAT math score was 514 (College Board website, January 8, 2012). SAT math scores for independent samples of students follow. The first sample shows the SAT math test scores for students whose parents are college graduates with a bachelor's degree. The second sample shows the SAT math test scores for students whose parents are high school graduates but do not have a college degree.

The comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test taker's parents were provided. A research hypothesis was that students whose parents had attained a higher level of education would on average score higher on the SAT. The overall mean SAT math score was 514 (College Board website, January 8, 2012). SAT math scores for independent samples of students follow. The first sample shows the SAT math test scores for students whose parents are college graduates with a bachelor's degree. The second sample shows the SAT math test scores for students whose parents are high school graduates but do not have a college degree.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Need assistance with c through e only!

Q: The time it takes to run a mile and the person’s running speed. A. Independent B. Dependent

A: Introduction: The speed of a particle is the distance covered in unit time. There is a linear…

Q: b. Stan ³0 sec²0 do

Q: X- 18:3

A: Given, -13×18×31×3

Q: D Name a secant. E B.

A: Given that:

Q: C. 6. . X3D CD

A: Given the graph is

Q: whay about part d

A: Given: Sample Size = n = 25Critical Value: Degrees of freedom = n – 1 = 25 – 1 =…

Q: Graph: y = -1 А.

A: Option A is correct

Q: use cayley -Hwmilt.n thern A. 3. 니 2

Q: Refering to Figure 1, b. a C Figure 1

A: Given, figure

Q: H.W: Find the domoin of y = X+3 4-[xt-q

A: Explanation of the solution is given below...

Q: Find AB . D 11.5 C M 18.7 N A AB = B.

Q: Slove.. -x e lux by BiSection

A: Answer is in below steps.

Q: Complete.

A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any…

Q: Find the d. c. of from definition. Vx

A: As per the question we have to find the derivative of the function : f(x) = 1/√x Using the limit…

Q: Parts d and e?

A: Here we have to solve part(d) and (e) of the question M

Q: Q 11 13 T. R.

A: by secant formula, we will find out this

Q: Given: AB = AC; OB = 0C a. Is it possible to prove that ZAOB = LAOC? b. Is it possible to prove that…

A: Definition used- SSS congruence - If three corresponding…

Q: question d and e are noy correct.

Q: 3. You would like to determine if there is a statistical relationship between the amount of caffein…

A: a) The explanatory variable is the amount of caffeine in a cup of coffee. The response variable is…

Q: c. Aº d. (AUB) nc

Q: ARAC A 2. G. E A. OEG B. OGE C. EGO D. GOE A OB D

Q: answer b and c ...

Q: 2. ARACA R E

A: Given query is to complete the congruency statment.

Question

need help with part C. And D.

### Comparison of SAT Scores Based on Parental Education Levels

This section provides an analysis of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test taker's parents. A research hypothesis suggests that students whose parents have attained a higher level of education tend to score higher on the SAT. The overall mean SAT math score was **514** (College Board website, January 8, 2012). Presented below are SAT math scores for two independent samples of students.

#### SAT Scores by Parental Education Levels

The first sample consists of SAT math scores from students whose parents are college graduates with a bachelor’s degree. The second sample consists of SAT math scores from students whose parents are high school graduates but do not possess a college degree.

##### Student's Parents Education Level

**College Graduates:**
- 672
- 624
- 672
- 560
- 512
- 432
- 560
- 528

**High School Graduates:**
- 496
- 492
- 576
- 576
- 560
- 420
- 504
- 480
- 528
- 516
- 516
- 516
- 540
- 540
- 588
- 588

#### Hypothesis Formulation

**a. Hypotheses Formulation:**

To determine whether the sample data support the hypothesis that students tend to achieve higher math scores on the SAT if their parents have attained a higher level of education, we define two populations:

- $\mu_1$: Population mean math score for students whose parents are college graduates.
- $\mu_2$: Population mean math score for students whose parents are high school graduates.

**Null Hypothesis ($H_0$):** $\mu_1 - \mu_2 \leq 0$

**Alternative Hypothesis ($H_a$):** $\mu_1 - \mu_2 > 0$

**b. Point Estimate Calculation:**

To find the point estimate of the difference between the mean scores for the two populations (students whose parents are college graduates and students whose parents are high school graduates):

\[
\text{Point estimate} = \bar{X}_{\text{college grads}} - \bar{X}_{\text{high school grads}}
\]

(Note: Calculating this point

**SAT Score Analysis Based on Parents' Education Level**

This section presents an analysis of SAT scores to test the hypothesis that students whose parents have attained a higher level of education show higher population mean math scores.

### Hypothesis Formulation

#### Definitions:
- $ \mu_1 $ = Population mean verbal score of students whose parents are college graduates.
- $ \mu_2 $ = Population mean verbal score of students whose parents are high school graduates.

#### Hypotheses:
- **Null Hypothesis ($ H_0 $)**: $ \mu_1 - \mu_2 = 0 $
- **Alternative Hypothesis ($ H_a $)**: $ \mu_1 - \mu_2 \neq 0 $

### Statistical Calculation

**b. Point Estimate:**
- Determine the point estimate of the difference between the means for the two populations up to one decimal place.

\[ \text{Difference in means} = \_\_\_\_ \text{ points (Select your answer) if parents are college grads.} \]

**c. P-value Calculation:**
- Compute the p-value for the hypothesis test based on the t-value and degrees of freedom.

- **t-value**: (to 3 decimal places)
- **Degrees of freedom**: (round your answer to the previous whole number)
- **p-value**: \_\_\_\_ (Select your answer)

**d. Conclusion at $ \alpha = 0.05 $:**
- Based on the computed p-value, we draw a conclusion to either reject or not reject the null hypothesis.

\[ \text{We} \_\_\_\_ \text{ (Select your answer)} \text{ reject } H_0. \]

This exercise involves comparing sample data from two groups based on the education level of parents to investigate if there is a significant difference in their SAT math scores. Calculations include estimating the difference in population means, computing t-values and p-values, and making a conclusion about the hypothesis at a significance level of 0.05.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Area of a Circle$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

Calculate So y dydr. A. 20 B. 20 C. 3 D. 35
Use the first table to answer the question? Parts a,b,c and d
What is the mode of 1,1,1,1,2,2,2,3,3, and 4 ?a. 1b. 2c. 3d. 4
B. 3. A painting is available as a 60-inch-wide by 48-inch-long canvas. If the painting is also available as a 42-inch-long canvas, what is the width of the painting? A. 33.6 inches B. 36.2 inches C. 52.5 inches D. 54.8 inches
#11
Can you answer part c, d and e of the question?