Question

Chapter 6

1. What is a probability distribution?

2. How can you tell the difference between discrete and continuous variables? Provide an example for each.

3. What is a Uniform probability distribution?

4. What does N(0,1) mean?

5. What is the Standard Normal Table used for?

6. Find the probability to the left of a z-score of -1.34.

7. How do you know when to subtract a p-value from 1?

Chapter 7

1. Explain the difference between p and p-hat.

2. Explain the difference between accuracy and precision.

3. What do we use to measure accuracy? What do we use to measure precision?

4. Why is it important to have a large sample size?

5. What is the Central Limit Theorem used for?

6. List the 3 conditions of the CLT.

7. What is a confidence interval?

8. Draw a picture and label p, the confidence level, interval, and margin of error for +/- 2 Standard errors.

Answer 1

A probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment

A discrete random variable has a finite number of possible values. A continuous random variable could have any value (usually within a certain range)

For instance the number of cancer patients treated by a hospital each year is discrete but your weight is continuous

The uniform distribution is a continuous probability distribution and is concerned with events that are equally likely to occur.

The probability density function is f(x)=1/b-a for a ≤ x ≤ b.

N(0,1) is called the standard normal distribution with μ = 0 and σ = 1. This distribution is symmetric about mean.

Standard Normal table is used to find the probability that a statistic is observed below, above, or between values on the standard normal distribution

Using standard normal distribution table,the probability to the left of a z-score of -1.34 is 0.09