Question

**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 is 100 and test the claim that the mean score for prep
course students is above the national average of 515. Use a 0.10
significance level.

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

*z*_{x} =

(b) What is the P-value of the test statistic? **Use the
answer found in the z-table or round to 4 decimal
places.**

P-value =

reject *H*_{0}

fail to reject
*H*_{0}

**(e) Choose the appropriate concluding
statement.**

The data supports the claim that the mean score for all students taking the prep course is above the national average

There is not enough data to support the claim that the mean score for all students taking the prep course is above the national average.

We reject the claim that the mean score for all students taking the prep course is above the national average.We have proven that the mean score for all students taking the prep course is above the national average.

Answer #1

a)

z =1.77

b)

p value =0.0384

c)

**critical value of z =1.28**

*d_*

reject *H*_{0}

_{e)}

The data supports the claim that the mean score for all students taking the prep course is above the national average

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...

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...

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...

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...

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: 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...

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...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 8 minutes ago

asked 14 minutes ago

asked 27 minutes ago

asked 31 minutes ago

asked 44 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago