An experiment is designed to compare five different advertisements for a pen. Advertisement A greatly undersells the pen. Advertisement B slightly undersells the pen. Advertisement C slightly oversells the pen. Advertisement D greatly oversells the pen. Advertisement E correctly states the pen. A sample of 30 adult respondents is randomly assigned to the five advertisements. After reading the advertisement, all respondents unknowingly receive the same pen to evaluate and are then asked to rate the pen from 1 to 7 (lowest to highest) on three characteristics. The combined scores of three ratings for the 30 respondents are in the data table. Complete parts (a) through (d) below. a. At the 0.05 level of significance, is there evidence of a difference in the mean rating of the pens following exposure to five advertisements? Determine the hypotheses. Choose the correct answer below. A. H0: ?1 = ?2 = ? = ?5 H1: ?1 ? ?2 ? ? ? ?5 B. H0: ?1 = ?2 = ? = ?6 H1: ?1 ? ?2 ? ? ? ?6 C. H0: ?1 = ?2 = ? = ?5 H1: Not all the means are equal. D. H0: ?1 = ?2 = ? = ?6 H1: Not all the means are equal. Find the test statistic. FSTAT = (Round to two decimal places as needed.) Determine the critical value. F? = (Round to two decimal places as needed.)
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- Alternative hypothesis (Ha): The mean ratings of the pens are not equal for at least one pair of advertisements. Show more…
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