Question

For all U.S. students nationally who take the SAT, SAT Math scores are normally distributed with an average score of 500 for all U.S. students and a population standard deviation of 125. A random sample of 100 students entering Whitmer College had an average SAT Math (SAT-M) score of 530.

The sample data can be used to test the claim that the mean SAT-M score of all Whitmer College students is different than the national mean SAT-M score.

From the provided answer choices below, select the appropriate null and alternate hypotheses:

Answer 1

claim that the mean SAT-M score of all Whitmer College students is different than the national mean SAT-M score.

Claim = mean = = 500

Sample mean = = 530

Standard deviation = = 125

Null hypothesis: The mean SAT-M score of all Whitmer College students is 500

Alternate hypothesis: The mean SAT-M score of all Whitmer College students is different than 500