AFDA new Unit 10 Test Review

Front

What is a z-score?

Back

A z-score indicates how many standard deviations an element is from the mean. It is calculated as (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation.

Front

How do you calculate the z-score for a given value?

Back

To calculate the z-score, use the formula: z = (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation.

Front

What does a positive z-score indicate?

Back

A positive z-score indicates that the value is above the mean.

Front

What does a negative z-score indicate?

Back

A negative z-score indicates that the value is below the mean.

Front

What is the empirical rule in statistics?

Back

The empirical rule states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations.

Front

If the mean waist size is 29 inches and the standard deviation is 2 inches, what is the z-score for a waist size of 33 inches?

Back

The z-score is 2.

Front

What is the minimum value in a data set?

Back

The minimum value is the smallest number in a data set.

Front

How do you find the average miles per gallon (mpg) using z-scores?

Back

To find the average mpg using z-scores, use the formula: mpg = μ + (z * σ), where μ is the average mpg, z is the z-score, and σ is the standard deviation.

Front

What is the mean and standard deviation of the shelf life of a dairy product if it is normally distributed with a mean of 12 days and a standard deviation of 3 days?

Back

Mean = 12 days, Standard Deviation = 3 days.

Front

What percentage of products last between the mean and one standard deviation above the mean in a normal distribution?

Back

Approximately 34% of products last between the mean and one standard deviation above the mean.