Question

a six - sided die is rolled 120 times. fill in the expected frequency column. then, conduct a hypothesis test to determine if the die is fair. the data in table 11.34 are the result of the 120 rolls.

what is the expected frequency?

a. 20
b. 25
c. 15
d. 10

Explanation:

Step1: Calculate probability for each face

For a fair six - sided die, the probability \(P\) of getting any one face is \(P=\frac{1}{6}\).

Step2: Calculate expected frequency

The formula for expected frequency \(E\) is \(E = n\times P\), where \(n = 120\) (number of trials). So \(E=120\times\frac{1}{6}=20\).

Answer:

A. 20