Question

In an article on Flurry Blog, a gaming marketing gap for men between the ages of 30 and 40 is identified. You are researching a startup game targeted at the 35-year-old demographic. Your idea is to develop a strategy game that can be played by men from their late 20s through their late 30s. Based on the article’s data, industry research shows that the average strategy player is 28 years old with a standard deviation of 4.8 years. You take a sample of 100 randomly selected gamers. If your target market is 29- to 35-year-olds, should you continue with your development strategy?

Short answer

There is just a $1.86\%$ chance that the strategy game will be played by guys between the ages of 29 and 35. As a result, you should abandon your development approach.

Step-by-step solution

Given information

Given information:

The Mean value is $28$

Standard deviation is $4.8$ years

$n=100$

Formula used:

$X~N\left({\mu }_x,\frac{ax}{\sqrt{n}}\right)$

Determine the likelihood of guys between the ages of 29 and 35 playing the strategy game.

Let

$$\begin{gathered} \overline{X}~N\left(28,\frac{4.8}{\sqrt{100}}\right) \\ P(29<X<35)=\text{normalcdf}\left(29,35,28,\frac{4.8}{\sqrt{100}}\right) \\ P(2<\overline{X}<3)=0.0186 \end{gathered}$$

As a result, there is only a$1.86\%$ chance that the strategy game will be played by guys between the ages of 29 and 35. As a result, you should abandon your development approach.