A nutritionist decided to see if there was a difference in the number of eight l

Question

A nutritionist decided to see if there was a difference in the number of eight lunch in elementary and secondary schools. She selected a random sample of eight secondary schools in penang. The data below: Are the two samples independent or dependent of each other? Suggest the suitable nonparametric test for above problem. What is the critical value? What is the test statistic? What is your decision? What is the corresponding parametric test for above problem? What are the assumptions required to perform the parametric test?

Explanation / Answer

Answer:

Mean ranks for Sample A (Elementary school)= 5.9 and Mean ranks for Sample B (Secondary school) = 11.1

— TA

Applying the corresponding values

UA = 52.5, UB=11.5 and Z ratio = -2.1, look for smaller value of U and check with critical value in table for a two tailed test with na = 8 and nb =8, critical value is 7. UB=11.5 > 7. Since the observed value is greater than table value therefore there is not significant evidence that the number of calories served for lunch differ amongst two schools.

UA= nanb + na(na+1)2

— TA

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