Chapter 6

Question 1

Normal Distribution

Answer 1

If a random variable has a probability distribution whose graph is continuous, bell-shaped, and symmetric

Question 2

Normal Distribution Curve

Answer 2

The graph of a normal distribution

Question 3

Symmetric distribution

Answer 3

Values are evenly distributed on either side of the mean. A normal distribution is symmetric.

Question 4

Negatively/left-skewed

Answer 4

Majority of the values fall to the right of the mean

Question 5

Positively/right-skewed

Answer 5

Majority of the data values fall to the left of the mean

Question 6

Standard Normal Distribution

Answer 6

A normal distribution with a mean of 0 and a standard deviation of 1

Question 7

Continuous Distribution

Answer 7

-Normal distribution
-No gaps in the curve

Question 8

Ways to check for normality

Answer 8

1. Draw a histogram
2. Check skewness using PC
3. Index (greater than or = to +1 or equal to -1 is concluded to be significantly skewed)
4. Check for outliers

Question 9

PC less than 1

Answer 9

Distribution is skewed left (negative)

Question 10

Sampling Distribution of Sample Means

Answer 10

A distribution using the means computed from all possible random samples of a specific size taken from a population.

Question 11

Sampling Error

Answer 11

The difference between the sample measure and the corresponding population measure due to the fact that the sample is not a perfect representation of the population

Question 12

Standard Error of the Mean

Answer 12

Standard deviation of the sample means

Question 13

Central Limit Theorem

Answer 13

As the sample size increases without limit, the shape of the distribution of the sample means taken with replacement will approach a normal distribution