Question

Do students tend to improve their SAT math score the second time they take the test? A random sample of four students who took the test twice provided the given scores.

Student | 1 | 2 | 3 | 4 |
---|---|---|---|---|

First Score | 450 | 520 | 720 | 600 |

Second Score | 440 | 600 | 720 | 630 |

Assuming that the change in SAT Math score (second score—first score) for the population of all students taking the test twice is Normally distributed with mean μ , are we convinced that retaking the test improves scores? What is the P‑value for a test of H0:μ=μ0 versus Hα:μ≠μ0?

-less than 0.01

-more than 0.1

-more than 0.75

Answer #1

At 95% confidence pair wise 2 sample test excel report follows as

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...

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...

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...

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