2. You are the manager of the new Toys Is Us toy store. You decide to introduce

Question

2. You are the manager of the new Toys Is Us toy store. You decide to introduce a new line of video games and you take a random sample of customers in three age groups to see if they will purchase the games. The results of your study (numbers represent the number of games bought) are in the table below:

                   Age Groups of Children

           Elementary       Middle School       High School
              
               4           8               1
               3           9               1
               5           12               2
               4

Test to see if the average number of games bought by these children is the same across the age groups. Use alpha = 0.10.

Explanation / Answer

Null Hypothesis : H0 : Average number of games bought by these children is same across the age groups.

Alternative Hypothesis : Ha : Average number of games bought by these children are statistically different across the age group.

The Given table

Now we will solve this question with ANOVA single factor

Here is the ANOVA table

Where for alpha = 0.10 the F - critical = 3.2547

the value of F = 33.84 and p - value = 0.00025

so here F > Fcriti so we can reject the null hypothesis and can claim that there is significant difference in games bought by children across the age groups.

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