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QUESTION 3 a) Researchers want to test the effect of three different diets on the weight gain in 2 week- Diet 2 16 old lambs. The following table records the weight gain by the lambs. Diet 3 15 10 17 Diet 1 16 21 18 At the 0.05 level of significance, assess that there is a difference in the weight gain for each of the diet. (16 marks) b) Ten plots, each 10.4 meters, were randomly chosen in a large corm field. For each plot, the plant density (number of plants in the plot) and the mean cob weight (kg of grain per cob) were recorded. The results are given in the table below. Plant Density, X Cob Weight, Y 137 107 132 135 115 103 102 65 149 85 0.21 0.24 0.22 0.23 0.25 0.24 0.24 0.28 0.21 0.25 Calculate the linear regression of Yon X. (9 marks)
c) Plasma estrone plus estradiol (Plasma E2) steroid levels were measured in women given estrogen (Premarin) and in a control group of women. The women given estrogern were divided into three treatment groups. One group was given a daily dose of. 0.625 mg, the second group was given 1.25 mg, and the third group was given 2.5 mg. The researchers noted that the plasma steroid levels were not normally distributed, but became so after a logarithm transformation was applied. The data is given in log scale in the table below. Log1o ng/100 mLi Plasma Etž Concentration for Estrogen Study Group Control 0.625 1.25 2.5 30 16 24 21 Mean 2.01 2.10 2.34 2.20 SD 0.27 0.31 0.39 0.24 i) State the independent and dependent variables. (4 marks) ii) Identify the appropriate statistical analysis to be used and give the reason for your (4 marks) answer.
The litter sizes (defined as the number of offspring produced at one birth by an animal) of a certain population of female mice follow approximately a normal distribution with a mean of 6.8 and a standard deviation of 2.3. Calculate the probability that a randomly chosen female mice has a litter size between 6 and 8. (5 marks)
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Diet 3 Diek 1 8 21 3 each cuet. u mean det ad diet 3 Herewe have ue fctor ( 1.e. diet and duet were diet, duer 2fdier 3 TuePerr e amalyis e We we have 3 el.e. e and e have 12 dl^ Le-er eut auelt.e Mare MDuare s 21 O Mare 2 MS 23, 333 23, 333 2- ew s.256 SiMce eaeh a diet B S MS Treatelt 2 21 o 23. 333d ) Given 1しっ 6.8 : and = 2.3 2.3 fom 군-table.

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