Question

Children who watch cartoons with food commercials, on average ate 30.1 grams of crackers while watching TV as compared to an average of 20.5 grams of crackers fo those children who witch cartoons without food commercials. There are 56 children in each sample, with the sample standard deviation of 8.5 grams and 7.8 grams respectively.

At a 0.05 level of significance, is there evidence to the challenge that the mean amount of crackers eaten is significantly higher for children who watched cartoons with food advetisements?(hint: the challenge would be the alternative hypothesis)

pooled variance

hypotheses:

crit=

Alpha=

stat=

pvalue =

decision:

Answer 1

:- Average food eaten by child watching cartoon

:- Average food eaten by child without watching cartoon

To Test :-

H0 :-

H1 :-  

pooled variance

Alpha= 0.05

crit=   Reject null hypothesis if

stat=

Test Statistic :-

t = 6.2272

Test Criteria :-
Reject null hypothesis if


Result :- Reject Null Hypothesis

P value = 0.00000000444 i.e < 0.01

Decision based on P value

Reject null hypothesis if P value < level of significance

( <0.01 ) < 0.05, we reject null hypothesis

Conclusion :- Accept Alternative Hypothesis

There is sufficient evidence to support the claim that the mean amount of crackers eaten is significantly higher for children who watched cartoons with food advertisements at 5% level of significance.