Question

**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. This is a right-tailed test.

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

*t*

_{x}

=

(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.

There is enough data to justify rejection of the claim that the mean math SAT score for Stevens High graduates is the same as the national average. There is not enough data to justify rejection of the claim that the mean math SAT score for Stevens High graduates is the same as the national average. We have proven that the mean math SAT score for Stevens High graduates is the same as the national average.

Answer #1

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 60 graduates from
Stevens High, the mean SAT score in math was 510, 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 0.10 significance level.
(a) What type of test is this?
This is a left-tailed test.This is a two-tailed
test. This is...

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...

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 507, 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 left-tailed test.
This is a right-tailed test.
This is...

Suppose the national mean SAT score in mathematics was 510. In a
random sample of 40 graduates from Stevens High, the mean SAT score
in math was 501, with a standard deviation of 40. 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 two-tailed test.
This is a right-tailed test. This is...

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: 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 87 students, the mean math score was
534, but they did not disclose the standard deviation. Assume the
population standard deviation (σ) for all prep course
students...

Math & Music (Raw Data, Software
Required):
There is a lot of interest in the relationship between studying
music and studying math. We will look at some sample data that
investigates this relationship. Below are the Math SAT scores from
8 students who studied music through high school and 11 students
who did not. Test the claim that students who study music in high
school have a higher average Math SAT score than those who do not.
Test this claim...

Math & Music (Raw Data, Software
Required):
There is a lot of interest in the relationship between studying
music and studying math. We will look at some sample data that
investigates this relationship. Below are the Math SAT scores from
8 students who studied music through high school and 11 students
who did not. Test the claim that students who study music in high
school have a higher average Math SAT score than those who do not.
Test this claim...

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...

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