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# Perform a valid hypothesis test to determine if there is an association between egg consumption and age at menarche among girls in this population.

INSTRUCTIONS TO CANDIDATES
###### ANSWER ALL QUESTIONS

1. The knowledge of types of variables is the foundation for appropriate choice of (a) data summary and presentation (b) Type of test statistics, discuss.

2. The weight of malnourish children and controls were compared in a study on malnutrition. The mean weight of 92 malnourish children seen at MMSH over a five-year period was 6.8kg with standard deviation of 2.3kg, while the corresponding mean for 43 controls was 9.6kg with standard deviation of 3.5kg. Obtain and interpret the 90% and 95% Confidence Interval of the difference in mean weight of malnourish children and controls.

3. The hights in CM of 15 males and that of 12 females police officers is provided in a table:

S No Height (Males) Height (Females)

1 167.0 164.0

2 169.0 167.0

3 171.2 170.4

4 173.0 171.2

5 172.2 171.2

6 168.5 171.3

7 174.0 172.0

8 170.0 172.0

9 175.0 174.0

10 180.0 176.0

11 179.0 177.0

12 176.0 177.0

13 179.0

14 177.5

15 178.0

(a) Using appropriate statistical test determine if there is statistically significant different in the mean height of males and females police officers

4. A study was conducted to assess the possible effect of diet on age at menarche among girls in a rural community of Kano. Researchers specifically interviewed girls about egg consumption and categorized their age at menarche as early, average and late based on standard criteria as tabulated below:

Egg Consumption

Age at Menarche Never Once per week 2-4 times per week Daily Total

Early 5 13 8 4 30

Average 4 20 14 0 38

Late 11 18 15 0 44

Total 20   51 37 4 112

(a). Perform a valid hypothesis test to determine if there is an association between egg consumption and age at menarche among girls in this population.

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