Question

A high school principle currently encourages students to enroll in a specific SAT prep program that has a reputation of improving score by 50 points on average. A new SAT prep program has been released and claims to be better than their current program. The principle is thinking of advertising this new program to students if there is enough evidence at the 5% level that their claim is true. The principle tests the following hypotheses:

H0:μ=50 points HA:μ>50 points

where μ is the true mean in difference of scores after the new SAT prep course is taken and before the new SAT prep course is taken. He randomly assigns 79 students to take this new SAT program. The difference in scores resulted in an average of 50.2657 points with a standard deviation of 13.002 points.

Step 1 of 2:

What is the value of the test statistic for this test? Round your answer to four decimal places.

Step 2 of 2:

What is your decision regarding the null hypothesis?

Answer #1

A high school principle currently encourages students to enroll
in a specific SAT prep program that has a reputation of improving
score by 50 points on average. A new SAT prep program has been
released and claims to be better than their current program. The
principle is thinking of advertising this new program to students
if there is enough evidence at the 5% level that their claim is
true. The principle tests the following hypotheses:
H0:μ=50 points
HA:μ>50 points
where...

Determine the critical value(s) of the test statistic for each
of the following small sample tests for the population mean where
the assumption of normality is satisfied. Round your answer to four
decimal places.
Left-tailed test,α=0.01,n=24
Right-tailed test ,α=0.1,n=8
Two-tailed test, α=0.05,n=12
A high school principle currently encourages students to enroll
in a specific SAT prep program that has a reputation of improving
score by 50 points on average. A new SAT prep program has been
released and claims to...

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...

An SAT prep course claims to improve the test score of students.
The table below shows the scores for seven students the first two
times they took the verbal SAT. Before taking the SAT for the
second time, each student took a course to try to improve his or
her verbal SAT scores. Do these results support the claim that the
SAT prep course improves the students' verbal SAT scores? Let
d=(verbal SAT scores prior to taking the prep course)−(verbal...

An SAT prep course claims to improve the test score of students.
The table below shows the scores for seven students the first two
times they took the verbal SAT. Before taking the SAT for the
second time, each student took a course to try to improve his or
her verbal SAT scores. Do these results support the claim that the
SAT prep course improves the students' verbal SAT scores?
Let d=(verbal SAT scores prior to taking the prep
course)−(verbal...

An SAT prep course claims to improve the test score of students.
The table below shows the scores for seven students the first two
times they took the verbal SAT. Before taking the SAT for the
second time, each student took a course to try to improve his or
her verbal SAT scores. Do these results support the claim that the
SAT prep course improves the students' verbal SAT scores? Let
d=(verbal SAT scores prior to taking the prep course)−(verbal...

9. An SAT prep course claims to improve the test score of
students. The table below shows the scores for seven students the
first two times they took the verbal SAT. Before taking the SAT for
the second time, each student took a course to try to improve his
or her verbal SAT scores. Do these results support the claim that
the SAT prep course improves the students' verbal SAT scores? Let
d=(verbal SAT scores prior to taking the prep...

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