Question

# A certain high school requires all students to take the SAT. The SAT MATH scores of...

A certain high school requires all students to take the SAT. The SAT MATH scores of students at this high school had a normal distribution with a mean of 537.8 points and standard deviation of 25 points.

In a Simple Random Sample of 31 students from this high school, what is the probability that the sample mean x¯ is 542 or higher?

Commute times (in minutes) for drivers in a large city have a mean of 58.3 minutes and a standard deviation of 17.55 minutes. Use this information to answer the followinq questions.

1. Suppose you have a simple random sample of 37 drivers in this city. The probability that the average commute time (for the drivers in your sample) will be between 59 minutes and 62 minutes is
2. Suppose you have a simple random sample of 37 drivers in this city. The probability that the average commute time (for the drivers in your sample) will be less than one hour (60 minutes) is 