The comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test taker's parents are 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. SAT math scores for independent samples of students follow. Two samples are contained in the Excel Online file below. 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. Use the Excel Online spreadsheet below to answer the following questions. Due to a recent change by Microsoft you will need to open the XLMiner Analysis ToolPak add-in manually from the home ribbon. Screenshot of ToolPak X Open spreadsheet a. Formulate the hypotheses that can be used to determine whether the sample data support the hypothesis that students show a higher population mean math score on the SAT if their parents attained a higher level of education. ₁ population mean math score parents college grads. H2 = population mean math score parents high school grads. Ho: 1-2 H₁:11-12 b. What is the point estimate of the difference between the means for the two populations? if parents are college grads. points 0 0 c. Compute the t-value, degrees of freedom, and p-value for hypothesis test. t-value Degrees of freedom p-value d. At a = .05, what is your conclusion? (to 4 decimals) (to 4 decimals)

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.9: Dividing Real Numbers
Problem 8E
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Part b
Mean
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Difference Between the Means
Part d
Significance Level (Alpha)
E
Can we reject the null hypothesis?
(Enter "Can" or "Cannot")
College
Part c
After reading these instructions delete all text in this shaded area.
Use the XLMiner Analysis ToolPak to conduct your t-Test analysis.
After deleting all text in this shaded area, set the output range in
the ToolPak to the top left cell of this area (D8).
Your t-Test output should fit into this shaded area.
F
0.05
High School
Formula
H
#N/A
#N/A
#N/A
#N/A
J
K
L
Transcribed Image Text:123456789 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 < A B College High School 496 528 496 592 544 512 656 528 480 576 560 656 496 624 640 608 = 420 432 432 564 528 588 456 516 432 396 420 552 Data + с Part b Mean D Difference Between the Means Part d Significance Level (Alpha) E Can we reject the null hypothesis? (Enter "Can" or "Cannot") College Part c After reading these instructions delete all text in this shaded area. Use the XLMiner Analysis ToolPak to conduct your t-Test analysis. After deleting all text in this shaded area, set the output range in the ToolPak to the top left cell of this area (D8). Your t-Test output should fit into this shaded area. F 0.05 High School Formula H #N/A #N/A #N/A #N/A J K L
The comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test taker's parents are 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. SAT math scores for
independent samples of students follow.
Two samples are contained in the Excel Online file below. 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. Use the Excel Online spreadsheet below to
answer the following questions.
Due to a recent change by Microsoft you will need to open the XLMiner Analysis ToolPak add-in manually from the home ribbon. Screenshot of ToolPak
X
Open spreadsheet
a. Formulate the hypotheses that can be used to determine whether the sample data support the hypothesis that students show a higher population mean math score on the SAT if
their parents attained a higher level of education.
μ₁ = population mean math score parents college grads.
μ₂ =
population mean math score parents high school grads.
Ho: μ1 - μ2
H₁ μ1 μ2
b. What is the point estimate of the difference between the means for the two populations?
if parents are college grads.
points
î
c. Compute the
t-value, degrees of freedom, and
p-value for the hypothesis test.
t-value
Degrees of freedom
p-value
d. At a = .05, what is your conclusion?
(to 4 decimals)
(to 4 decimals)
Transcribed Image Text:The comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test taker's parents are 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. SAT math scores for independent samples of students follow. Two samples are contained in the Excel Online file below. 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. Use the Excel Online spreadsheet below to answer the following questions. Due to a recent change by Microsoft you will need to open the XLMiner Analysis ToolPak add-in manually from the home ribbon. Screenshot of ToolPak X Open spreadsheet a. Formulate the hypotheses that can be used to determine whether the sample data support the hypothesis that students show a higher population mean math score on the SAT if their parents attained a higher level of education. μ₁ = population mean math score parents college grads. μ₂ = population mean math score parents high school grads. Ho: μ1 - μ2 H₁ μ1 μ2 b. What is the point estimate of the difference between the means for the two populations? if parents are college grads. points î c. Compute the t-value, degrees of freedom, and p-value for the hypothesis test. t-value Degrees of freedom p-value d. At a = .05, what is your conclusion? (to 4 decimals) (to 4 decimals)
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