Turn In A taste sest was comdaced by Oeneral Foods to determine the paistabdity

Question

Turn In A taste sest was comdaced by Oeneral Foods to determine the paistabdity rewdting bom using high or low amour ?liquid-d mais te tature fae r coeren palatablity was scored trom-3 (terxibie) to 3(elet) Sixtens consumer groups 50 people per group) were given ane of the foer liquid-sexture coabinations to score, four groope per combination The reapouse for each group is the total of their Individual palatability soores, which is tabled below. Low Liquid, Low Liquid Hik Liquid, High Liguid Coarse Tecture Pine Testare Coarse Tosture e Taxture 24 21 35 104 86 64 16 State the 3 sets of hypotheses: Fill in the ANOVA table Source df MS 2053.25 Write your 3 conclusions in the context of the problem

Explanation / Answer

Solution:

The three sets of hypothesis are:-

1. Null Hypothesis (Ho): The population means of liquid are equal

Alternative Hypothesis (Ha): The population means of liquid are not equal.

2. Null Hypothesis (Ho): The population means of texture are equal.

Alternative Hypothesis (Ha): The population mean of texture are not equal.

3. Null Hypothesis (Ho): There is no interaction between liquid and texture.

Alternative Hypothesis (Ha): There is interaction betwene liquid and texture.

The ANOVA Procedure

                                      Class Level Information

                                   Class         Levels    Values

                                   liquid             2    H L

                                   texture            2    C F

Dependent Variable: palat

                                                Sum of

        Source                      DF        Squares     Mean Square    F Value    Pr > F

        Model                        3     12053.25000      4017.75000      10.33    0.0012

        Error                       12      4668.50000       389.04167

        Corrected Total             15     16721.75000

                         R-Square     Coeff Var      Root MSE    palat Mean

                         0.720813      30.52091      19.72414      64.62500

        Source                      DF        Anova SS     Mean Square    F Value    Pr > F

        liquid                       1      1024.00000      1024.00000       2.63    0.1307

        texture                      1     10609.00000     10609.00000      27.27    0.0002

        liquid*texture               1       420.25000       420.25000       1.08    0.3191

Since p-value of texture is less than 0.05, there it is statistically significant where liquid and liquid*texture are not.

Conclusion:-

1. We can conclude that the population means of liquid are equal.

2. We can conclude that the population mean of texture are not equal.

3. We can conclude that there is no interaction between liquid and texture.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.