No A reporter with the Saint Pete Times is working on a story about the main fac

Question

No A reporter with the Saint Pete Times is working on a story about the main factors making restaurants in the St. Pete area different from each other. The variable he is considering is the average meal price per person. The reporter selects a sample of 4 restaurants serving Italian food, Seafood and Steaks. The reporter believes that average price meal per person in the St Pete area is about the same independently of the type of restaurant. The table below shows sample mean and variances for collected data in dollars. Allow for an alpha of 0.05. Italian 24 0.7 Seafood Steakhouse Sample Mean Sample Variance 24 8.7 27 0.7 a. How many degrees of freedom are there in the problem? 2, 15 3,15 2, 12 b. What is the critical value for this problem? 3.01 3.89 28

Explanation / Answer

a)

df =2,9

b)critical value =4.26

c)

mean of the mean=25

d)_

value of SSTR and MSTR=24 ,12

e)

SSE and MSE =30.30 ;3.37

f)

test statistic =3.6

g)

accept the null

h)

we have not sufficient evidence to conclude that average price meal per person is differnt in St. Pete area.

c ni x?i S2i ni*(Xi-Xgrand)2 (ni-1)*S2i Italian 4 24.000 0.700 4.000 2.10 Seafood 4 24.000 8.700 4.000 26.10 Steakhouse 4 27.000 0.7000 16.000 2.10 grand mean= 25.000 24.000 30.30 SSTr SSE Source of variation SS df MS F P value F crit treatment 24.000 2 12.00 3.56 0.0724 4.26 error 30.300 9 3.37 total 54.300 11

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