Question

1. 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. A random sample of 100 students entering Whitmer College had an average SAT Math (SAT-M) score of 475 and a sample standard deviation of 120. 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:

2. A survey administered to a random sample of 400 U.S. college students found that 40 out of the 400 students surveyed were a member of a sorority or a fraternity. Compute a 99% confidence interval for the proportion of U.S. college students who are a member of a sorority or a fraternity. In the blank below, enter the upper bound of the 99% confidence interval for p. For example, if your confidence interval is (0.115, 0.276), the upper bound would be 0.276. Provide your answer as a decimal rounded to three decimal places.

3. A survey administered to a random sample of 400 U.S. college students found that 40 out of the 400 students surveyed were a member of a sorority or a fraternity. Compute a 90% confidence interval for the proportion of U.S. college students who are a member of a sorority or a fraternity. In the blank below, enter the upper bound of the 90% confidence interval for p. For example, if your confidence interval is (0.115, 0.276), the upper bound would be 0.276. Provide your answer as a decimal rounded to three decimal places.

Answer 1