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A pizza lover wants to compare the average delivery times for four local pizza r

ID: 3364806 • Letter: A

Question

A pizza lover wants to compare the average delivery times for four local pizza restaurants. Over the course of a few weeks, he orders a number of pizzas from each restaurant, and he records the time it takes for each pizza to be delivered.

a) A partial ANOVA table for his data is shown below. What is the value of B?




He should conclude that at least two of the restaurants have different mean delivery times because the P-value is greater than 0.05.

He should conclude that at least two of the restaurants have different mean delivery times because the P-value is less than 0.05.    

He should fail to reject the claim that at all of the restaurants have the same mean delivery times because the P-value is greater than 0.05

He should conclude that at all of the restaurants have the same mean delivery times because the P-value is less than 0.05.

I really really need correct answers. Please show me work so I can follow it through. If you do not have correct answers, I do not want them

Source DF SS MS F P-value Treatment B 28.891 D F G Error C 16.56 E Total 20 45.451

Explanation / Answer

here B =number of pizza restaurants -1= 4-1=3

C =20-3 =17

D =MS treatments/df =28.891/3=9.630

E =MS error /df =16.56/17 =0.974

F =MStreatments/MS error =9.630/0.974 =9.886

for above F value ; p value =0.0005

a) B=3

b)  e value of C in the ANOVA table =17

c) value of D in the ANOVA table =9.630

d)  value of E in the ANOVA table =0.974

e)  value of F in the ANOVA table =9.886

f) value of G in the ANOVA table =0.0005

g)

He should conclude that at least two of the restaurants have different mean delivery times because the P-value is less than 0.05.  

df SS MS F p value treatments 3 28.891 9.630 9.886 0.0005 error 17 16.56 0.974 total 20 45.451
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