Question

**Retaking the SAT:** Many high school students
take the SAT's twice; once in their Junior year and once in their
Senior year. In a sample of 50 such students, the score on the
second try was, on average, 29 points above the first try with a
standard deviation of 15 points. Test the claim that retaking the
SAT increases the score on average by more than 25 points. Test
this claim at the 0.01 significance level.

(a) The claim is that the mean difference is greater than 25
(*μ*_{d} > 25), what type of test is
this?

This is a left-tailed test.

This is a right-tailed test.

This is a two-tailed test.

(b) What is the test statistic? **Round your answer to 2
decimal places.**

*t*

_{d}

=

(c) Use software to get the P-value of the test statistic.
**Round to 4 decimal places.**

P-value =

(d) What is the conclusion regarding the null hypothesis?

reject *H*_{0}

fail to reject
*H*_{0}

(e) Choose the appropriate concluding statement.

The data supports the claim that retaking the SAT increases the score on average by more than 25 points.

There is not enough data to support the claim that retaking the SAT increases the score on average by more than 25 points.

We reject the claim that retaking the SAT increases the score on average by more than 25 points.

We have proven that retaking the SAT increases the score on average by more than 25 points.

Answer #1

Retaking the SAT: Many high school students
take the SAT's twice; once in their Junior year and once in their
Senior year. In a sample of 50 such students, the score on the
second try was, on average, 30 points above the first try with a
standard deviation of 14 points. Test the claim that retaking the
SAT increases the score on average by more than 25 points. Test
this claim at the 0.10 significance level.
(a) The claim is...

Retaking the SAT: Many high school students
take the SAT's twice; once in their Junior year and once in their
Senior year. In a sample of 40 such students, the score on the
second try was, on average, 29 points above the first try with a
standard deviation of 14 points. Test the claim that retaking the
SAT increases the score on average by more than 25 points. Test
this claim at the 0.01 significance level.
(a) The claim is...

Retaking the SAT: Many high school students
take the SAT's twice; once in their Junior year and once in their
Senior year. In a sample of 55 such students, the score on the
second try was, on average, 34 points above the first try with a
standard deviation of 15 points. Test the claim that retaking the
SAT increases the score on average by more than 30 points. Test
this claim at the 0.10 significance level.
(a) The claim is...

Retaking the SAT: Many high school students
take the SAT's twice; once in their Junior year and once in their
Senior year. In a sample of 55 such students, the score on the
second try was, on average, 33 points above the first try with a
standard deviation of 14 points. Test the claim that retaking the
SAT increases the score on average by more than 30 points. Test
this claim at the 0.01 significance level.
(a) The claim is...

Retaking the SAT: Many high school students
take the SAT's twice; once in their Junior year and once in their
Senior year. In a sample of 50 such students, the score on the
second try was, on average, 35 points above the first try with a
standard deviation of 13 points. Test the claim that retaking the
SAT increases the score on average by more than 30 points. Test
this claim at the 0.05 significance level.
(a) The claim is...

Retaking the SAT (Raw Data, Software
Required):
Many high school students take the SAT's twice; once in their
Junior year and once in their Senior year. The Senior year scores
(x) and associated Junior year scores (y) are
given in the table below. This came from a random sample of 35
students. Use this data to test the claim that retaking the SAT
increases the score on average by more than 27 points. Test this
claim at the 0.10 significance...

Math SAT: Suppose the national mean SAT score
in mathematics was 505. In a random sample of 40 graduates from
Stevens High, the mean SAT score in math was 495, with a standard
deviation of 30. Test the claim that the mean SAT score for Stevens
High graduates is the same as the national average. Test this claim
at the 0.01 significance level.
(a) What type of test is this?
This is a left-tailed test.
This is a right-tailed test. ...

Math SAT: Suppose the national mean SAT score
in mathematics was 505. In a random sample of 50 graduates from
Stevens High, the mean SAT score in math was 495, with a standard
deviation of 30. Test the claim that the mean SAT score for Stevens
High graduates is the same as the national average. Test this claim
at the 0.05 significance level.
(a) What type of test is this?
This is a two-tailed test. This is a left-tailed
test. ...

Math SAT: The math SAT test was originally
designed to have a mean of 500 and a standard deviation of 100. The
mean math SAT score last year was 515 but the standard deviation
was not reported. You read in an article for an SAT prep course
that states in a sample of 75 students, the mean math score was
546, but they did not disclose the standard deviation. Assume the
population standard deviation (σ) for all prep course
students...

Math SAT: Suppose the national mean SAT score
in mathematics was 515. In a random sample of 40 graduates from
Stevens High, the mean SAT score in math was 508, with a standard
deviation of 35. Test the claim that the mean SAT score for Stevens
High graduates is the same as the national average. Test this claim
at the 0.10 significance level.
(a) What type of test is this?
This is a left-tailed test.This is a two-tailed
test. This is...

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