Question

Advertisers for a cheese company wanted to know if their ads were improving the public's attitude towards their cheese. Before the ads were put on television, a random sample of individuals were asked to rate the product on a scale of 1-10. The mean rating was 4.78. After the ads, another random sample rated the same product and the mean rating was 6.78. This is an example of...

• 1.Matched pairs, because the survey took place before the ads and again after.
• 2.Matched pairs, because the means can be subtracted to find the improvement.
• 3.Two independent samples, because the samples are unrelated to each other.

Answer 1

Solution: The given situation is a Matched pairs because the survey took place before the ads and again after.

Option 1 is correct.

Justification: The cheese company wanted to know if the advertisements improved the public's attitude towards their cheese. For that they took rating of their product before and after the advertisement. A paired t test is used to compare two population means where we have two samples in which observations in one sample can be paired with the observations in the other sample. One of the cases where this can be implemented is before and after observations on the same subject. Here rating is the subject on which before advertisement is one case and after advertisemnt is other.