Question

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. a. Perform a one-way ANOVA using a = 0.05 to determine if there is a difference in the average number of pounds of bananas sold per week in these three locations. Determine the null and alternative hypotheses. Ho HE Determine the appropriate test statistic. (Round to two decimal places as needed.) Determine the p-value. p-value = (Round to three decimal places as needed.) State the proper conclusion. V Ho. There sufficient evidence to conclude that there is V difference in the average number of pounds of bananas sold per week in these three locations. 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 Xp - XM > CRP,M, conclude that the means for Produce and Milk are not different. O B. Since Xp - xml <CRP,M, conclude that the means for Produce and Milk are not different. OC. Since |p – xm| > CRP,m, conclude that the means for Produce and Milk are different. OD Since locul<CR... conclude that the means for Produce and Milk are different

Answer 1

Solution

We will find ANOVA using excel

The output is given below

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance
Produce	4.000	218.000	54.500	107.667
Milk	5.000	184.000	36.800	181.700
Cereal	4.000	184.000	46.000	146.667
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	701.123	2.000	350.562	2.353	0.145	4.103
Within Groups	1489.800	10.000	148.980
Total	2190.923	12.000

1.Null and alternative hypothesis

$H0 : \mu _{1}=\mu _{2}=\mu _{3}$

H1 : At least one of the mean different from others.

2. F-statistic = 2.35

3.P-value : 0.145

4. Accept H0. There is not sufficient evidence to conclude that there is no difference in the average number of pounds of bananas sold per week in three locations.

b. Since we accepting the null hypothesis and conclude that three locations have same mean therefore there is no need to perform multiple comparision test.