Question

**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.

This is a two-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

The statistic software output for this problem is :

(a)

This is a two-tailed test.

(b)

Test statistics = -2.11

(c)

P-value = 0.0415

(d)

fail to reject
*H*_{0}

(e)

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.

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.
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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...

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random sample of 40 graduates from Stevens High, the mean SAT score
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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...

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