Amphetamine is a drug that suppresses appetite. In a study of this effect, a pharmacologist randomly allocated 24 rats to three treatment groups to receive an injection of amphetamine at one of two dosage levels (2.5 mg/kg and 5 mg/kg), or an injection of saline solution. She measured the amount of food consumed by each animal in the 3-hour period following the injection. The results (gm of food consumed per kg body weight) are available in amphetamine. dat. Treatment Consumed
1 0.0 112.6
2 0.0 102.1
3 0.0 90.2
4 0.0 81.5
5 0.0 105.6
6 0.0 93.0
7 0.0 106.6
8 0.0 108.3
9 2.5 73.3
10 2.5 84.8
11 0.0 67.3
12 2.5 129
13 2.5 80.7
14 2.5 90.0
15 2.5 75.5
A) Is there evidence that the amount of food consumed by animals is different among the three groups?
B) Test the claim that food consumption is smaller in the group receiving 5.0 mg/kg amphetamine than the group receiving the saline solution.
C) Sketch a plot of the estimated mean food consumption for each group versus amphetamine dosage levels. Describe in a few words the relationship (if any) you observe in this plot.
D) Use a linear trend contrast to test the null hypothesis of no linear trend in food consumption. Report the test statistic and p-value and a conclusion within the context of the data.

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.