Estimating Mean SAT Math Score The SAT is the most widely used college admission exam. (Most community colleges do not require students to take this exam.) The mean SAT math score varies by state and by year, so the value of u depends on the state and the year. But let's assume that the shape and spread of the distribution of individual SAT math scores in each state is the same each year. More specifically, assume that individual SAT math scores consistently have a normal distribution with a standard deviation of 100. An educational researcher wants to estimate the mean SAT math score (u) for his state this year. The researcher chooses a random sample of 692 exams in his state. The sample mean for the test is 484. Find the 99% confidence interval to estimate the mean SAT math score in this state for this year. (Note: The critical z-value to use, ze, is: 2.576.) Your answer should be rounded to 3 decimal places.

Work and explain the following problem. What are some common errors that students might have with this  problem. 1. Luis mixed 6 ounces of cherry syrup with 53 ounces of water to make a cherry-flavored drink, Martin mixed 5 ounces of the same cherry syrup with 42 ounces of water.  Who made the drink with the stronger cherry flavor?

Akira is running around a circular track. Akira runs counterclockwise. From where he starts, it takes him 22 seconds to reach the easternmost point of the track. It takes him 95 seconds to run one complete lap.Bob starts running at the same time as Akira. Bob starts from the northernmost point and runs clockwise. Bob and Akira pass each other for the first time after 26 seconds. How long does Bob take to run one lap of the track? The answer to this question should be the amount of time in seconds rounded to four decimal places that it takes for Bob to run a complete lap around the circular track.

For this problem, assume Gwen and Harry have 5 types of cones and 11 flavors of ice cream. (1) In how many different ways can your order one cone and two scoops of ice cream? (As in the book, putting one flavor on top of another is different from putting them the other way around.)    (2) In how many different ways can your order one cone and two scoops of ice cream which are not the same flavor?