l Normal No S 14. A researcher has been hired by a pizzeria to determine which t
ID: 3047876 • Letter: L
Question
l Normal No S 14. A researcher has been hired by a pizzeria to determine which type of crust customers prefer. The restaurant offers three types of crust: hand- tossed, thick, and thin. Following are the mean number of 1-inch pieces of pizza eaten for each condition from 10 subjects who had the oppor- tunity to eat as many pieces with each type of crust as they desired. The ANOVA summary table also follows. Sourced SS MS F Subject 2.75 Between Error Total 180.05 21.65 204.45 Crust Type Hand-tossed Thick Thin Mean 2.73 4.20 8.50 10 10 10 a. Complete the ANOVA summary table b. Is Fdt significant at,-05, at a-012 c. Perform post hoe comparisons if necessary d. What conclusions can be drawn from the F-ratio and the post hoc comparisons? e What is the effect size, and what does this mean? f Graph the meansExplanation / Answer
ANOVA TABLE :
NULL HYPOTHESIS H0: There is no significant difference between the subjects.
Alternative Hypothesis HA: At least two means are significantly differ.
F obt (Within) = 0.254
Fcritical for df1= 9 and df2= 18 at 0.05 = 2.46
CONCLUSION: F calculated value is 0.254 which is SMALLER THAN F critical value at 0.05 d.f. WE DO NOT REJECT NULL HYPOTHESIS AND CONCLUDE THAT THERE IS NO SIGNIFICANTLY DIFFERENCE IN MEANS.
Fcritical for df1= 9 and df2= 18 at 0.01= 3.6
CONCLUSION: F calculated value is 0.254 which is SMALLER THAN F critical value at 0.01 d.f. WE DO NOT REJECT NULL HYPOTHESIS AND CONCLUDE THAT THERE IS NO SIGNIFICANTLY DIFFERENCE IN MEANS.
F BETWEEN CAL = 74.83
F CRITICAL FOR DF1= 2 AND DF2= 18 AT 0.01 IS 6.01
F CRITICAL FOR DF1= 2 AND DF2= 18 AT 0.05 IS 3.55
SO F CAL FOR BETWEEN IS SIGNIFICANT 0.05 AND 0.01 LEVEL OF SIGNIFICANCE.
C) POST HOC ANALYSIS:
CONFIDENCE INTERVALS:
STATISTICAL DIFFERENCE
FROM F RATIO THERE IS NO STATISTICALLY DIFFERENCE WITHIN THE SUBJECT BT F RATIO FOR BETWEEN THE SUBJECTS ARE STATISTICALLY SIGNIFICANT.
A Tukey post hoc test revealed that the PIZZA PREFFERED BY CUSTOMERS statistically significant FOR HAND TOSSED AND THIN.
PLEASE REPOST QUESTION e and f .Thankk you.
SOURCE D.F S.S M.S F SUBJECT 9 2.75 0.3055 0.254 BETWEEN 2 180.05 90.025 74.83 ERROR 18 21.65 1.203 TOTAL 29 204.45Related Questions
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