Question

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 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.

485 | 503 |

534 | 549 |

650 | 510 |

570 | 426 |

550 | 499 |

588 | 594 |

481 | 464 |

576 | 469 |

442 | 492 |

580 | 478 |

479 | 425 |

486 | 485 |

528 | 390 |

524 | 535 |

b) What is the point estimate of the difference between the means for the two populations?

c) Find the value of the test statistic. (Round your answer to three decimal places.)

Compute the *p*-value for the hypothesis test. (Round
your answer to four decimal places.)

d) At *α* = 0.05, what is your conclusion?

Do not Reject *H*_{0}. There is sufficient
evidence to conclude that higher population mean math scores are
associated with students whose parents are college graduates.

Reject *H*_{0}. There is sufficient evidence to
conclude that higher population mean math scores are associated
with students whose parents are college
graduates.

Reject *H*_{0}. There is insufficient evidence to
conclude that higher population mean math scores are associated
with students whose parents are college graduates.

Do not reject *H*_{0}. There is insufficient
evidence to conclude that higher population mean math scores are
associated with students whose parents are college graduates.

Answer #1

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...

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...

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 reported the following mean scores for the
Math part of the Scholastic Aptitude Test (SAT) is 515. Assume that
the population standard deviation of the test is 100.
What is the probability that a random sample of 64 test takers
will provide a sample mean test score between 505 and 520 on the
Mathematics part of the test?

The admissions officer at a small college compares the scores on
the Scholastic Aptitude Test (SAT) for the school's in-state and
out-of-state applicants. A random sample of 8 in-state applicants
results in a SAT scoring mean of 1138 with a standard deviation of
29. A random sample of 17 out-of-state applicants results in a SAT
scoring mean of 1219 with a standard deviation of 27. Using this
data, find the 98% confidence interval for the true mean difference
between the...

The admissions officer at a small college compares the scores on
the Scholastic Aptitude Test (SAT) for the school's in-state and
out-of-state applicants. A random sample of 9 in-state applicants
results in a SAT scoring mean of 1238 with a standard deviation of
49. A random sample of 17 out-of-state applicants results in a SAT
scoring mean of 1150 with a standard deviation of 35. Using this
data, find the 99% confidence interval for the true mean difference
between the...

The admissions officer at a small college compares the scores on
the Scholastic Aptitude Test (SAT) for the school's in-state and
out-of-state applicants. A random sample of 8 in-state applicants
results in a SAT scoring mean of 1087 with a standard deviation of
33. A random sample of 18 out-of-state applicants results in a SAT
scoring mean of 1130 with a standard deviation of 51. Using this
data, find the 98% confidence interval for the true mean difference
between the...

The admissions officer at a small college compares the scores on
the Scholastic Aptitude Test (SAT) for the school's in-state and
out-of-state applicants. A random sample of 16 in-state applicants
results in a SAT scoring mean of 1144 with a standard deviation of
55. A random sample of 10 out-of-state applicants results in a SAT
scoring mean of 1185 with a standard deviation of 41. Using this
data, find the 99% confidence interval for the true mean difference
between the...

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