Exploring the Normal Distribution in AP Statistics

What is the main focus of Topic 5.2 in Unit 5?

• The normal distribution

• The exponential distribution

• The binomial distribution

• The Poisson distribution

When combining continuous random variables that follow a normal distribution, what will the sum or difference of these variables follow?

• A binomial distribution

• A uniform distribution

• A normal distribution

• A Poisson distribution

In the example with Tom and George, what is the mean of their total score?

• 430

• 400

• 190

• 210

How do you calculate the variance when combining standard deviations?

• Add the standard deviations directly

• Subtract the standard deviations

• Square the standard deviations, add them, and then take the square root

• Multiply the standard deviations

What is the probability that Tom and George's total score is more than 430?

• 0.5000

• 0.7612

• 0.1197

• 0.0388

In the second example, what is the average difference in scores between George and Tom?

• 15

• 25

• 20

• 10

What is the standard deviation of the difference in scores between George and Tom?

• 15

• 17

• 20

• 8

What is the z-score for the difference in scores being zero?

• -0.5

• -1.1765

• 1.1765

• 0

What is the probability that Tom scores better than George?

• 0.1197

• 0.5000

• 0.7612

• 0.0388

What is the significance level often used to determine if a result is significant?

• 5%

• 10%

• 20%

• 1%