(c) Test the claim at the 0.01 significance level.

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I have the first two parts but can someone help find the claim at 0.01 significance level? Thanks!

Many high school students take the SAT's twice; once in their Junior year and once in their Senior year. In a sample of 200 such students, the average of the differences was 33 points with a standard deviation of 28.2843 points.

Test the claim that retaking the SAT increases the score on average by more than 30 points.

(a) Find the test statistic.

\[ 1.50 \]

(b) Test the claim at the 0.10 significance level.

Critical value:
\[ 1.286 \]

Is there sufficient data to support the claim?
- \[ \checked \] Yes
- \[ \square \] No

(c) Test the claim at the 0.01 significance level.

Critical value:
\[ \] (Box left blank)
Transcribed Image Text:Many high school students take the SAT's twice; once in their Junior year and once in their Senior year. In a sample of 200 such students, the average of the differences was 33 points with a standard deviation of 28.2843 points. Test the claim that retaking the SAT increases the score on average by more than 30 points. (a) Find the test statistic. \[ 1.50 \] (b) Test the claim at the 0.10 significance level. Critical value: \[ 1.286 \] Is there sufficient data to support the claim? - \[ \checked \] Yes - \[ \square \] No (c) Test the claim at the 0.01 significance level. Critical value: \[ \] (Box left blank)
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