Independent and Dependent Statistics

Classify the two given samples as independent or dependent.

• Dependent

• Independent

• No relationship

• None of these

As part of a Masterʹs thesis project, a mathematics teacher is interested in the effects of two different teaching methods on mathematics achievement. She randomly chooses a class of students to learn one algebraic concept using traditional methods. Then on another day, the same students learn a similar algebraic concept using manipulatives. The teacher then compares their test scores. Determine whether the samples are dependent or independent.

• No relationship

• Independent

• Dependent

• None of these

What is the probability that a student does play a sport given they do not play an instrument? 

• .2

• .2222

• .10

• .5

What is the probability that they speak French given they are a girl? 

• 2.14

• 24

• 4

• 8571

Find P( Full-time | Male)

• 7/3

• 3/10

• 3/7

• 4/7

Is the event INDEPENDENT or DEPENDENT?
You have a jar with 24 pieces of chocolate candy and 14 pieces of orange candy.  We take one piece of candy at random from the jar, put it back, and then take a second piece of candy at random from the jar.

• Independent

• Dependent

Suppose two tiles are drawn from the collection shown. The first tile is  not replaced before the second tile is drawn. Find P(A and A)

• 4/225

• 1/105

• 3/71

Is the event INDEPENDENT or DEPENDENT?
The spinner is spun twice.  What is the probability that it lands on red first and then blue?

• Independent

• Dependent

Classify if dependent or independent sample:

Sample 1: The weight of 24 students in a first-grade class

Sample 2: The height of the same 24 students

• Dependent Sample

• Independent Sample

Classify if dependent or independent sample: Sample 1: The average price of 15 new trucks Sample 2: The average price of 20 used sedans

• Dependent samples

• Independent samples