Question

(1 point) Suppose theorists believe that training warehouse workers can reduce absenteeism. Suppose an experimental design is structured to test this belief. Warehouses in which training sessions have been held for workers are selected for the study. The four types of warehouses are (1) general merchandise, (2) commodity, (3) bulk storage, and (4) cold storage. The training sessions are differentiated by length. Researchers identify three levels of training sessions according to the length of sessions: (1) 1-20 days, (2) 21-50 days, and (3) more than 50 days. Three warehouse workers are selected randomly for each particular combination of type of warehouse and session length. The workers are monitored for the next year to determine how many days they are absent. The resulting data follow.

(1 point) Suppose theorists believe that training warehouse workers can reduce absenteeism. Suppose an experimental design is structured to test this beliet. Warehouses in which training sessions have been held for workers are selected for the study. The four types of warehouses are (1) general merchandise, (2) commodity, (3) bulk storage, and (4) cold storage. The training sessions are differentiated by length. Researchers identify three levels of training sessions according to the length of sessions: (1) 1-20 days, (2) 21-50 days, and (3) more than 50 days. Three warehouse workers are selected randomly for each particular combination of type of warehouse and session length. The workers are monitored for the next year to determine how many days they are absent. The resulting data follow 1-20 21 50 More than 50 2.5 General Merchandise 4.5 2.5 1.5 Commodity 4.5 1.5 2.5 3.5 3.5 Bulk Storage 3.5 1.5 Cold Storage 4.5 2.5 4.5 (a) Specify the appropriate statistical hypotheses for the row effects. A. Ho: The row means are the same ΗΛ : At least one or the row means is different from the others B. Ho At least one of the row means is different from the others. HA The row means are the same (b) Specify the appropriate statistical hypotheses for the column effects A. Ho The column means are the same HA At least one of the column means is different from the others. B. Ho : At least one of the column means is different from the others. HA The column means are the same (C) Specify the appropriate statistical hypotheses for the interaction effects OA. Ho: The interaction effects are zero. HA There is an interaction effect. B. Ho: At least one of the column means is different from the others. HA The column means are the same (d) Complete the following two-way ANOVA table. Source Degrees of Freedom Sum of Squares Mean Square P-value Length of Training Interaction Error Total (e) using an α of 5%, are significant interaction effects evident? ? (T) In reference to (e). Should the business researcher examine the main effects or length or training as well as that or type or warehouse? ? ▼ because the interaction ? the

Answer 1

(a) The correct option is A Ho: The row means ane the same H: At least one the row means is different fromthe others (b) The correct option is A H: The column means are the same H: At least one the column means is di fferent from the others (c) The correct option is A HO : The interaction effects are zero H: There is an interaction effect (d) The procedure in Excel to perform two-way ANOVA is: 1. Enter the data as given. 2. Click on Data->Data Analysis->AngaTwo-Factor With Replication->OK 3. Enter the input and outputs as shown below:

Anova: Two-Factor With Replication Input Input Range: Rows per sample: Alpha: OK SAS1:SD$13 Cancel Help 0.05 Output options OOutput Range: O New Worksheet Ply: O New Workbook SFS3 4. Click on OK. The ANOVA table output is ANOVA Source of Variation MS P-value Fcrit Sample Columns Interaction Within 6.409722 5.013889 33.15278 14.83333 3 2.136574 3.456929 0.032205 3.008787 2 2.506944 4.05618 0.030372 3.402826 6 5.525463 8.940075 3.54E-05 2.508189 24 0.618056 Total 59.40972 35 Therefore, the ANOVA table is ANOVA Source MS P-value Type of Warehouse Length of Training Interaction Error Total 3 6.409722 2.136574 3.456929 0.032205 2 5.013889 2.506944 4.05618 0.030372 6 33.15278 5.525463 8.940075 3.54E-05 24 14.83333 0.618056 35 59.40972

(e) Using an of 5% interaction effects are evident Yes because the p-value is very less. (f Since the interaction effects are evident hence the business researcher should examine the main effects of length of training as well as that of type of warehouse. Please provide the options in dropdown for this part. Note: If you don't have Data Analysis plugin installed in your Excel then you install it by clicking on File->Options-> Addins->Under Excel Add-ins Click on Go... >Check Analysis ToolPak and click OK. Now you will have Data Analysis option under Data Tab.