In a market research study, members of a consumer test panel are asked to rate the visual appeal (on a 1 to 10 scale) of the texture ofdashboard plastic trim in a mockup of a new fuel cell car. The manufacturer Is testing four finish textures. Panelists are assignedrandomly to evaluate each texture. The test results are shown below. Each cell shows the average rating by panelists who evaluatedeach texture. Research question: Is mean rating affected by age group and/or by surface type?Mean Ratings of Dashboard Surface TextureAge GroupYouth (under 21)Adult (21 to 39)Middle-Age (4e to 61)Senior (62 and over)ShinyPebbledSatinPattern6.76.75.84.75.95.26.35.44.05.56.45.03.04.96.84.5Click here for the Excel Data File(a-1) Which type of ANOVA model should be used?O One factor completely randomizedO Two factor with replicationO Two factor without replication(a-2) Choose the correct row-effect hypotheses.a. Ho: A1 = A2 = A3 = 0 Age group means are the sameH: Not all the Aj are equal to zero Age group means are the sameb. Ho: A # A2 * A3 i0 Age group means are the sameH: All the A are equal to zero Age group means differO aOb(a-3) Choose the correct column-effect hypotheses.a. Ho: B = B2 = B3 =0 Surface type means are the sameH: Not all the Bk are equal to zero e Surface type means differb. Ho: B + B2 * B3 0 Surface type means are the sameH: Not all the Bk are equal to zero e Surface type means differ Table of MeansStandardDeviationMeannShinySatinPebbledPatternYouth (Under 21)Adult (21 to 39)Middle-Age (40 to 61)Senior (82 and over)TotalANOVA TableSourceRows (Age Group)Columns (Surface)dfMSFp-valueErrorTotal(c) Choose the correct statement.O The texture Is significantly affected by age group and by surface type.O The texture Is not significantly affected by age group or by surface type.O The texture Is not significantly affected by age group, but it is affected by surface type.O The texture Is not significantly affected by surface type, but It is affected by age group.

Given: Age Group Shiny Satin Pebbled Pattern Youth (under 21) 6.7 6.7 5.8 4.7 Adult (21 to 39) 5.9 5.2 6.3 5.4 Middle Age (40 to 61) 4 5.5 6.4 5 Senior (62 to over) 3 4.9 6.8 4.5(a-1) Two-way factor without replication (a-2) H0: A1=A2 =A3=0 ⇐Age group means are the sameH1: Not all the Aj are equal to zero ⇐Age group means differ Option (a) is correct. (a-3) H0: B1= B2= B3=0 ⇐Surface type means are the sameH1: Not all the Bk are equal to zero ⇐Surface type means differ. Option (a) is correct. Proceudre Step: 1 Enter the data into the excel spreadsheet as above.Step: 2 Go to Data>Data analysis>Select the third option (Anova: Two-factor without replication) and click OK.Step: 3 take the data into the input range with the label and alpha 0.05 and click ok.The obtained output is Two-Way ANOVA without Replication SUMMARY Average Count Variance Standard Deviation=Variance Shiny 4.9 4 2.8867 1.6990 Satin 5.575 4 0.6225 0.7890 Pebbled 6.325 4 0.1692 0.4113 Pattern 4.9 4 0.1533 0.3916 Youth (under 21) 5.975 4 0.9025 0.9500 Adult (21 to 39) 5.7 4 0.2467 0.4967 Middle Age (40 to 61) 5.225 4 1.0025 1.0012 Senior (62 to over) 4.8 4 2.4467 1.5642 Two way ANOVA Table ANOVA Source of Variation SS df MS F P-value Rows 3.235 3 1.0783 1.1749 0.3723 Columns 5.535 3 1.845 2.0103 0.1831 Error 8.26 9 0.9178 Total 17.03 15 P-Value (0.3723) > 0.05, not significant. P-Value (0.1831) > 0.05, not significant. The texture is not significantly affected by age group or by surface type. The second option is correct.