A game developer for ShapeExplosion is really interested in how music affects peoples ability to complete the game. He wanted some to listen to soft music, others to listen to hard rock and others none at all. The game developer is also interested in how people interact with the software using a mouse or touch pad. He sets up an experiment to test how these variables affect time to completion. Suppose that you had 24 participants and these participants were divided evenly between the treatments. How many replications would you have

The game developer tested by 24 participants and these 24 participants were divided evenly between the treatments and the required total number of possible replications combinations is 4.

Step-by-step explanation:

The Concepts and reason

The ANOVA can be used to analyze the data obtained from experimental or observational studies. A factor is a variable that the experimenter has taken for investigation.

A treatment is a level of a factor, and its experimental units are the objects of interest in the experiment. The variation between treatments groups captures the effect of the treatment and the variation within treatment groups represents random error not explained by the experimental treatments.

The replication means an independent repeat of each factor combination.

Fundamentals

The formula for replications is: Number of participants/number of cells

The total number of participants is: 24

The number of cells is: 6

The total number of participants in the game is 24 and the number of possible combination cells is 6

so,

Number of replications: Number of participants/number of cells

which is 24/6= 4

Therefore the number of replications is 4.

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.