1) What is the critical value for this problem? 2) What is the value of SSTR? 3)

Question

1) What is the critical value for this problem?

2) What is the value of SSTR?

3) What is the value for SSE?

4) What is the value for the test statistic?

5) What is your decision after performing the test? Accept or Reject?

Publix and Winn-Dixie Supermarket Stores are the major grocery chains in Jacksonville, Florida. When Fresh Market opened a store in Jacksonville,a group of local economists predicted that Fresh Market would sett lower average prices than both local stores. The following table displays sample mean and variance for prices of a 5 food items from each grocery store. Perform a test to prove (or not) the local economists' prediction. Allow for an alpha of 0.01 PublixWinn-DixieFresh Market Sample Mean 1.9 1.3 0.7 Sample Variance 0.4 0.5 0.1

Explanation / Answer

here from above data below is ANOVA table:

1)here at 0.01 level and (2,12) degree of freedom ; critical value F =6.9266

2) SSTR =3.6

3)SSE =4

4) value of the test statistic =5.4

5)as test statsitic is lower than critical value ; we can not reject null hypothesis. Accept

i ni Xi Si^2 ni*(Xi- grand mean)^2 (ni-1)*Si^2 Publix 5 1.9 0.400 1.800 1.600 Winn-Dixie 5 1.3 0.500 0.000 2.000 Fresh market 5 0.7 0.100 1.800 0.400 Weighted mean 1.300 3.600 4.000 SSG SSE Source of variation SS df MS F P value F crit treatment 3.600 2 1.800 5.400 0.0213 6.9266 error 4.000 12 0.333 total 7.600 14

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