1. Assume that the test scores from a college admissions test are Normally distributed, with a mean score of 466 and a standard deviation of 75. A certain college will automatically give a distinguished alumni scholarship to any student who is in the top 1% of those taking the test. What score does a student need to get on this test to qualify for this scholarship? (Hint: The score for which 1% of the students are above also has 99% of the students below)

2. A credit card company wants to find out if the average time that its customers take to pay their accounts will change depending upon when they are billed. They take a random sample of 500 customers and sent their bills on the 15th of the month. These customers paid their bills in an average of 17.4 days. with a standard deviation of 4.5 days. They took a second random sample of 500 customers and sent their bills on the 24th of the month. These customers paid their bills on an average of 12 days with a standard deviation of 3.7days.

A) Find a 95% confidence interval for the difference in the mean payment time when customers are billed on the 15th and when customers are billed on the 24th. B)Write a sentence interpreting the results above.