Question

An article from a consumer comparison website compared the price of several items available in both conventional supermarkets and warehouse stores. Complete parts a thr below EB Click the icon to view the item prices. Click the icon to view an excerpt from a table of critical values of the studentized range. a. Choose the most appropriate ANOVA procedure using a 0.05 to determine if a difference exists in the average price of these items at the four stores. What are the correct null and alternative hypotheses? O A. Ho HH2 = H3 = H4 H Not all the p's are equal O B. Ho: Not all the p's are equal H1 1H2H3 4 O C. Ho H 42 = ¥3 = H4 H1: H1H23# H4 O D. Ho H1H2 # U3 # H4 H1 H123 = H4 What is the test statistic? Price data F (Round to two decimal places as needed.) What is the p-value? Store 4E Store 1 Store 3 Item Store 2 p-value (Round to three decimal places as needed.) Peanut Butter 15.02 6.45 7.88 6.82 Allergy Medication 69.49 29.36 35.08 30.88 What is the correct conclusion? Detergent 31.13 20.74 21.76 20.64 Diapers 70.62 37.39 43.16 37.16 O A. Reject Ho There is evidence that some of the stores are priced differently. Soda (36 cans) 15.35 9.37 8.84 8.92 O B. Do not reject Ho There is insufficient evidence that any of the stores are priced differently Ground Coffee 17.52 9.07 8.99 8.36 O C. Reject Ho- There is insufficient evidence that any of the stores are priced differently Print Done Click to select your answer(s).

Answer 1

Using Minitab:

Click Stat > ANOVA > One-Way... on the top menu, as shown below:

Eile Edit Data Calc Stat Graph Editor Tools Window Help Assistant Basic Statistics Regression ANOVA + One-Way... DOE One-Way Unstacked)... Control Charts H: Two-Way... 30/12/2 Quality Tools Analysis of Means... Reliability/Survival ADV Balanced ANOVA... Welcome to Minitab, Multivariate ► GLM General Linear Model... Time Series Fully Nested ANOVA... Tables A Balanced MANOVA... Nonparametrics GLM General MANOVA... EDA Power and Sample Size Test for Equal Variances... 111 Interval Plot... m Main Effects Plot... Interactions Plot...

You will be presented with the following One-Way Analysis of Variance dialogue box:

I Minitab - Untitled - [Worksheet 1 ***] file Edit Data Calc Stat Graph Editor Tools Window Help Assistant 100% 2003 SOGO2018|SOOG fx |--LA 3k 2 D 10 + PEINXlQ TOOLIM C2 C3 C4 C5 One Way Analysis of Variance Store Store 2 Store 3 Store 4 Response data are in a separate column for each factor level 15.02 6.45 7.88 6.82 69.49 29.36 35.08 30.88 Storei 'Store 2' Store 3' 'Store 4' 31.13 20.74 2 1.76 20.64 70.62 37.39 43.16 37.16 15.35 9.37 8.84 17.52 9.07 8.99 8.36 Responses: 8.92 Options... Comparisons... Graphs... Select Results... Results... Storag... 1 Help ок | Cancel

Click the OK button. The output that Minitab produces is shown below.

One-way ANOVA: Store1, Store 2, Store 3, Store 4 Method Null hypothesis All means are equal Alternative hypothesis At least one mean is different Significance level Equal variances were assumed for the analysis. Factor Information Factor Levels Values Factor 4 Storel, Store 2, Store 3, Store 4 Analysis of Variance Source DF Adj ss Adj MS F-Value P-value Factor 3 1324 441.4 1.390.274 Error 20 6338 316.9 Total 23 7662 Model Summary S 17.8016 R -sq 17.28% R-sq(adj) 4.87% R-sq (pred) 0.00%

Option C is correct

$H_{0}:\mu _{1}=\mu _{2}=\mu _{3}=\mu _{4}$

$H_{1}:\mu _{1}\neq \mu _{2}\neq\mu _{3}\neq\mu _{4}$

F statistic = 1.39

P-value =0.274

P-value > 0.05 we do not reject the null hypothesis.

Option B is correct. Do not reject the null hypothesis there is insufficient evidence that any of store are priced differently.

Hope this will be helpful. Thanks and God Bless You :)