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In: Statistics and Probability

A study examined whether the content of TV shows influenced the ability of viewers to recall...

A study examined whether the content of TV shows influenced the ability of viewers to recall brand names in commercials. The researchers randomly assigned volunteers to watch one of three​ programs, each containing the same eight commercials. The shows were either​ violent, sexual, or neutral.​ Afterwards, the subjects were asked to recall the brands of the advertised products. Results are in the accompanying table. Use the table to complete parts​ a) and​ b) below.

                            Violent       Sexual      Neutral

No. of subjects 101 100 101
Mean 2.62 2.76 4.05
SD 1.78 2.02 1.74

Determine the​ t-statistic.

2) Find the degrees of freedom.

3) Find the p-value

Do you reject or fail to reject the null hypotheses?

4) Find a 90% confidence interval for the difference, in mean number of brand names remembered between the groups watching shows with violent content and those watching sexual shows. Interpret your interval in this context.  

5) Find the overserved difference of means.

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