Question

Do we need to and If so how do we do these multiple comparison Tests?

The accompanying data show the number of pounds of bananas sold per week at a grocery store when the banana display was positioned in the produce, milk, and cereal sections of the store. Complete parts a and b. Click here to view the banana sales data. Click here to view a table of critical values for the studentized range. difference in the average number of pounds of bananas sold a. Perform a one-way ANOVA using a = 0.05 to determine if there is per week in these three locations. Determine the null and alternative hypotheses. Ho: H1 H2 H3 Hy: Not all us are equal. Determine the appropriate test statistic. F: = 2.32 (Round to two decimal places as needed.) Determine the p-value. p-value = .148 (Round to three decimal places as needed.) State the proper conclusion. a Do not reject Ho. There is not sufficient evidence to conclude that there is of bananas sold per week in these three locations. difference in the average number of pounds b. If warranted, perform a multiple comparison test to determine which pairs are different using a = 0.05. Compare the produce and Milk categories. Choose the correct answer below. O A. Since |āp – xml <CRP,M, conclude that the means for Produce and Milk are different. OB. Since Xp - xm|> CRP,M, conclude that the means for Produce and Milk are different. OC. Since Xp - xml < CRP,M, conclude that the means for Produce and Milk are not different. OD. Since [Xp Xm[> CRP,m, conclude that the means for Produce and Milk are not different. O E. The multiple comparison test is not warranted. Compare the produce and Cereal categories. Choose the correct answer below. O A. Since Xp - xc| <CRP,C, conclude that the means for Produce and Cereal are different. OB. Since |p – xc|> CRp,c, conclude that the means for Produce and Cereal are different. OC. Since | <p – cl<CRp.C, conclude that the means for Produce and Cereal are not different. OD. Since (xp - xc|> CRP,C, conclude that the means for Produce and Cereal are not different. O E. The multiple comparison test is not warranted. Compare the Milk and Cereal categories. Choose the correct answer below. A. Since |ĂM - xc|<CRM,C, conclude that the means for Milk and Cereal are different. OB. Since |ảm -Xc/<CRM,C, conclude that the means for Milk and Cereal are not different. OC. Since |ām – xc|>CRM,C, conclude that the means for Milk and Cereal are not different. OD. Since |ảm - c|> CRM,C, conclude that the means for Milk and Cereal are different. O E. The multiple comparison test is not warranted.

Produce   Milk   Cereal
63   38   27
39   20   52
61   33   54
55   56   51
   37  

(Milk is the one with 37 as the 5th number)

Answer 1

a) using excel,

a) Testing the null & alternative hypothesis, Hoi lll = 12=43 & Hi! Not all els are equal. The rest statistic is fx = 2,32 P-value = 0.148 Conclusions Do not reject Ho. There is not sufficient evidence to conclude that there is a difference in the average number of pounds of bananas sold per week in these three locations, + b) Multiple compan'son test. 1 CR=9,0, nar Mse CPIM) (h q is the studentized range 420.05, n-Y = 10 n13 90,05,3,10 = 3.877 CR (p, M) - 3.877 X 150.78 Gato) = 3.877 * 5.8246

18p-XM1= 154.5-36.81 = 11.7 LCR (PM) - 22.5818 C Rep, My osince I Xp-XMI <CRp. M, conclude that the means for produce f Milk are not different ii) CR(Pic) 98,05,3,10x MSCO (1 h) 2 3.8778 150.48 (+ to) = 3.877 X 6.1396 CREPIEJ = 23.8033 - 1xp- Xcl = 154-5-461 = 8,5 < CR (P; c) B)since I xp-xcl <CR (PIC) Conclude that the means for produced Cereal are not different 1) CR (MC) 90.05, 3, 10 x Misco + ni Dj = 3.877 X 150.78 (t)