3. The following 78 data represent the overweight situation for every age group of a town:...

 

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3. The following 78 data represent the overweight situation for every age group of a town: 15-30 75-90 45-60 60-75 6 17 15 4 Age Frequency 0-15 12 30-45 24 (a) Perform the goodness-of-fit test to check if the observed frequencies follow a uniform distribution, i.e., f(x)=1/90, 0≤x≤90, using a 0.05 level of significance. (10%) (b) Perform the goodness-of-fit test to check if the observed frequencies follow a normal distribution with = 45 and o=12, using a 0.01 level of significance. (15%) 3. The following 78 data represent the overweight situation for every age group of a town: 15-30 75-90 45-60 60-75 6 17 15 4 Age Frequency 0-15 12 30-45 24 (a) Perform the goodness-of-fit test to check if the observed frequencies follow a uniform distribution, i.e., f(x)=1/90, 0≤x≤90, using a 0.05 level of significance. (10%) (b) Perform the goodness-of-fit test to check if the observed frequencies follow a normal distribution with = 45 and o=12, using a 0.01 level of significance. (15%)