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.

Based on the given information and using the appropriate formula, calculate the test statistic for this hypothesis test. Round your answer to two decimal places. Enter the numeric value of the test statistic in the space below:

Answer 1

Given that the sample mean is 530, the population mean is 500, the standard deviation is 125, and the sample size is 100, we can substitute these values into the formula to calculate the test statistic. Let me do the math for you.

Explanation: