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A recent study found that children who watched a cartoon with food advertising ate, on average, 28.5 grams of Goldfish crackers as compared to an

A recent study found that children who watched a cartoon with food advertising ate, on average, 28.5

grams of Goldfish crackers as compared to an average of 19.7 grams of Goldfish crackers for children

who watched a cartoon without food advertising. Although there were 118 children in the study, neither

the sample size in each group nor the sample standard deviations were reported. Suppose that there

were 59 children in each group, and the sample standard deviation for those children who watched the

food ad was 8.6 grams and the sample standard deviation for those children who did not watch the

food ad was 7.9 grams. Test the claim that the mean amount of Goldfish crackers eaten is higher for

the children who watched food ads compared to mean amount Goldfish crackers for children who

watched a cartoon without food advertising. Use 5% significance level.

a) Identify the claim and state the H0 and H1.

b) Find the critical value.

c) Calculate the test statistic.

3

d) Make a decision to reject or fail to reject the H0.

e) Interpret the decision in the context of the original claim.

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