A drug under development was claimed to induce weight loss. A group of volunteers took one drug and the following weight differences (kg) were obtained for before and after case tests:
-3.1, 4.6, 2.0, 0.1, -4.2, -3.6, 1.2, -1.4, 2.6, 0
i. Test whether there was a significant weight difference (16 marks)
ii. Why is the paired t-test regarded as a more powerful test than the ordinary t-test? (2 marks)
iii. Distinguish between the one tailed and the two tailed scenarios in t-test analysis. (2 marks)
12. The following is data on the distribution of a weaver bird species in Tsavo National Park.
Class Wet Wet/Dry Dry Dry/Wet
Adult male 140 116 -80 125
Adult female 120 114 95 60
Juvenile male 35 52 45 80
Juvenile female 60 40 20 37
i. Use the Chi-square test to determine whether the species was evenly distributed in all the seasons.
ii. Why is the chi-square regarded as goodness of fit test?
iii. Under what circumstances is the heterogeneity chi-square performed.
13. The following data is on yield maize (Kg/ha) in soils with different Ph
pH 6.5 10.4 7.1 9.2 5.0 4.2 5.6 8
Yield 140 96 125 80 72 65 125 65
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