Data Table Brand A 242419232226262222Brand B262421252527252423

'ated two brands of coffee in a tastetesting experiment. A rating on a 7point scale (1 =extremely unpleasing. 7 = extremely pleasing) is given for each of four characteristics: taste. aroma. richness. and acidity. The accompanying data table contains the ratings accumulated over a 3. Complete parts (a) through (d) below. icon to view the data table. level of signicance, is there evidence ofa difference in the mean ratings between the two brands? mean rating for brand A and [12 be the mean rating for brand B. Determine the null and alternative hypotheses for this test. ,SO(wherepD=p1-p2) O B. Hu:pD#0(wherepD=p1-p2) )>0 H13PD= '20 (where pD =p1-p2) O D. Ho: pD =0 (where no =p1-p2) )'0 H1=PD"0 .tic= ler or a decimal. Round to two decimal places as needed.) luets) is(are) . ; or decimals. Round to two decimal places as needed. Use a comma to separate answers as needed.) statistic E the critical value(s), V H0. There is V evidence to conclude that the mean ratings are different between the two brands. notion is necessary about the population distribution in order to perform this test? t be assumed that the distribution of the differences between the measurements is approximately normal. I be assumed that the distribution of the ditferenoes between the measurements is skewed. I be assumed that the distribution of the differences between the measurements is approximately uniform. the p-value in (e) and interpret its meaning. itic gives a p-value of . ier or a decimal. Round to three decimal places as needed.) neaning of the pvalue in (a). Choose the correct answer below. -value is the probability of failing to reject the null hypothesis when it is actually false. -value is the probability of obtaining a sample mean dierence less extreme than this one if the population mean ratings for the two brands are the same. -value is the probability of obtaining a sample mean dierence at least as extreme as this one it the population mean ratings for the two brands are the same