Question

**Based on a survey we collected 2 samples of SAT scores
from A city and B city. Based on this:**

A city: 418,421,421,422,425,427,431,434,437,439,446,447,448,453,454,463,465

B city: 429,430,430,431,36,437,440,441,445,446,447

- Write down the null hypothesis if the goal is to test if the average score in A is not different from B?
- What is the alternate hypothesis?
- Do a statistical test to reject or not reject your null hypothesis. What test did you choose?
- Based on the test can reject or not reject your null? Why?

Answer #1

Are the motivation scores of Japanese managers different from
those of American managers? A randomly selected group of each were
administered the Sarnoff Survey of Attitudes Toward Life (SSATL),
which measures motivation for upward mobility. The SSATL scores are
summarized below.
Japanese
American
Sample Size
10 (n1)
10 (n2)
Sample Mean SSATL Score
65(X1bar)
85(X2bar)
Sample Std. Dev.
20(s1)
20(s2)
The goal of the study is to determine if the population mean
SSATL score for the Japanese is different
from...

A researcher wants to
determine whether high school students who attend an SAT
preparation course score significantly different on the SAT than
students who do not attend the preparation course. For those who do
not attend the course, the population mean is 1050 (? = 1050). The
16 students who attend the preparation course average 1150 on the
SAT, with a sample standard deviation of 300. On the basis of these
data, can the researcher conclude that the preparation course...

Suppose that in the absence of special preparation SAT
mathematics scores vary normally with a mean of 475 and a
population standard deviation of 100. One hundred students go
through a rigorous training program designed to raise their SAT
mathematics scores by improving theirmathematics skills. The
students’ average score after the training program is 510.9. Test
the claim that the training program improves students’ average SAT
mathematics scores. Test at the 5% level of significance.
a) State the null (H0)...

The College Board provided comparisons of Scholastic Aptitude
Test (SAT) scores based on the highest level of education attained
by the test taker's parents. 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. The first sample shows the SAT math test scores for
students whose parents are college graduates...

For all U.S. students nationally who take the SAT, SAT Math
scores are normally distributed with an average score of 500 for
all U.S. students and a population standard deviation of 125. A
random sample of 100 students entering Whitmer College had an
average SAT Math (SAT-M) score of 530.
The sample data can be used to test the claim that
the mean SAT-M score of all Whitmer College students is different
than the national mean SAT-M score.
From the...

A certain test preparation course is designed to improve
students' SAT Math scores. The students who took the prep course
have a mean SAT Math score of 507 while the students who did not
take the prep course have a mean SAT Math score of 501. Assume that
the population standard deviation of the SAT Math scores for
students who took the prep course is 45.7 and for students who did
not take the prep course is 32.1 The SAT...

A certain test preparation course is designed to improve
students' SAT Math scores. The students who took the prep course
have a mean SAT Math score of 507 while the students who did not
take the prep course have a mean SAT Math score of 501. Assume that
the population standard deviation of the SAT Math scores for
students who took the prep course is 45.7 and for students who did
not take the prep course is 32.1 The SAT...

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 (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...

The College Board provided comparisons of Scholastic Aptitude
Test (SAT) scores based on the highest level of education attained
by the test taker's parents. 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. The first sample shows the SAT math test scores for
students whose parents are college graduates...

The College Board provided comparisons of Scholastic Aptitude
Test (SAT) scores based on the highest level of education attained
by the test taker's parents. 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. The first sample shows the SAT math test scores for
students whose parents are college graduates...

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