Question

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 Math scores are taken for a sample of 78 students who took the prep course and a sample of 64 students who did not take the prep course. Conduct a hypothesis test of the claim that the SAT Math scores for students who took the prep course is higher than the SAT Math scores for students who did not take the prep course. Let μ1 be the true mean SAT Math score for students who took the prep course and μ2 be the true mean SAT Math score for students who did not take the prep course. Use a 0.05 level of significance.

**Step 1 of 5 : State the null and alternative hypotheses
for the test.**

**Step 2 of 5 : Compute the value of the test statistic.
Round your answer to two decimal places.**

**Step 3 of 5 : Find the p-value associated with the test
statistic. Round your answer to four decimal places.**

**Step 4 of 5: Make the decision for the hypothesis
test.**

**Step 5 of 5: State the conclusion of the hypothesis
test.**

Answer #1

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 504 with a standard deviation of
38.5, while the students who did not take the prep course have a
mean SAT Math score of 492 with a standard deviation of 43.5. The
SAT Math scores are taken for a sample of 78 students who took the
prep course and a sample of 85...

. 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 504 with a standard deviation of
38.5, while the students who did not take the prep course have a
mean SAT Math score of 492 with a standard deviation of 43.5. The
SAT Math scores are taken for a sample of 78 students who took the
prep course and a sample of...

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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