Z-scores
Graphing
Pr(x<cutoff)
Pr(x>cutoff)
Pr(a<x<b)
100

A value is considered lower than average if the z-score is negative or positive?

What is negative.

100

A normal distribution is formatted in what kind of distribution shape?

What is bell-shaped distribution.

100

If we have a mean of 60 and a standard deviation of 7, what is the probability that a value is less than 65?

What is 0.762.

100

If we have a mean of 30 and a standard deviation of 4, what is the probability that a value will be more than 31?

What is 0.401.

100

If there is a mean of 40 and a standard deviation of 7, what is the probability that a value will be in between 33 and 38?

What is 0.229.
200

A value is considered very unusual if the z-score is bigger than what value?

What is +/- 3.

200

Since the probability density function is symmetric, which two values are the same?

What are the median and the mean.

200

If we have a mean of 100 and a standard deviation of 20, what is the probability that a value will be less than 82?

What is 0.159.
200

If we have a mean of 600 and a standard deviation of 35, what is the probability that a value will be more than 680?

What is 0.011.

200

If there is a mean of 120 and a standard deviation of 30, what is the probability that a value will be in between 110 and 123?

What is 0.170.

300

A z-score of -4.3 is considered lower or higher than average?

What is lower than average.

300

A graph peaks in the middle at 80, and has a standard deviation of 5. What is the mean?

What is 80.

300

If we have a mean of 2,000 and a standard deviation of 120, what is the probability that a value will be less than 1,900?

What is 0.202.

300

If we have a mean of 3,000 and a standard deviation of 300, what is the probability that a value will be more than 2,900?

What is 0.631.

300

If there is a mean of 2,500 and a standard deviation of 350, what is the probability that a value is between 2,600 and 2,700?

What is 0.104

400

A z-score of 0.7 is what level of unusuality?

What is fairly typical.

400
A graph has a mean of 60 and a standard deviation of 10. If we want to know the probability that a value is less than 50, where should we shade?

What is to the left of 50.

400

Suppose that the average amount of time it takes to drive from the Edwardsville Best Buy to the Edwardsville Circle K is 8 minutes. There is a standard deviation of 1.5 minutes. What is the probability that it will take less than 7 minutes to drive between these two locations?

What is 0.252 minutes.

400

Suppose that the average amount of time it takes to bike a mile is 10 minutes, with a standard deviation of 2 minutes. What is the probability that someone will take more than 7 minutes to bike a mile?

What is 0.933.

400

Suppose that the average amount of time it takes to run a mile is 9.5 minutes, with a standard deviation of 2 minutes. What is the probability that someone will take in between 8 and 9 minutes to run a mile?

What is 0.175.

500

A z-score of 2.5 is what level of unusuality?

What is unusual.

500

A graph has a mean of 1,000 and a standard deviation of 80. If we want to know the probability that a value is in between 900 and 950, where should we shade?

What is between 900 and 950.

500

Suppose that the average amount of time it takes to walk a mile is 30 minutes, with a standard deviation of 7 minutes. What is the probability that it will take less than 35 minutes to walk a mile?

What is 0.762 minutes.

500

Suppose that the amount of salt needed to produce one pound of McDonald's fries has an average of 850 mg, and a standard deviation of 30 mg. What is the probability that McDonald's will need more than 860 mg to produce a pound of fries?

What is 0.369.

500

Suppose that it takes, on average, 9,000 bricks to build a house, with a standard deviation of 1,000 bricks. What is the probability that a house will need between 9,500 and 10,000 bricks to be built?

What is 0.150.