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Michigan State's college admission board believes the average SAT scores among honors program students across the...

Michigan State's college admission board believes the average SAT scores among honors program students across the country exceeds 1250. A random sample of 16 honors program students is taken and the average SAT score for that sample is found to be 1300. The sample standard deviation of scores was calculated to be 160. Test the Admission Board's claim at the 0.01 level of significance. Find P-value. Explain answer.

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