Difference between the treated side and the control side

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Reference no: EM131023649

Under certain conditions, electrical stimulation of a beef carcass will improve the tenderness of the meat. In one study of this effect, beef carcasses were split in half; one side (half) was subjected to a brief electrical current and the other side was an untreated control. For each side, a steak was cut and tested in various ways for tenderness. In one test, the experimenter obtained a specimen of connective tissue (collagen) from the steak and determined the temperature at which the tissue would shrink; a tender piece of meat tends to yield a low collagen shrinkage temperature.The data are given in the following table.

CARCASS	COLLAGEN SHRINKAGE TEMPERATURE (°C)
CARCASS	TREATED SIDE	CONTROL SIDE	DIFFERENCE
1	69.50	70.00	-0.50
2	67.00	69.00	-2.00
3	70.75	69.50	1.25
4	68.50	69.25	-0.75
5	66.75	67.75	-1.00
6	68.50	66.50	2.00
7	69.50	68.75	0.75
8	69.00	70.00	-1.00
9	66.75	66.75	0.00
10	69.00	68.50	0.50
11	69.50	69.00	0.50
12	69.00	69.75	-0.75
13	70.50	70.25	0.25
14	68.00	66.25	1.75
15	69.00	68.25	0.75
Mean	68.750	68.633	0.117
SD	1.217	1.302	1.118

(a) Construct a 95% confidence interval for the mean difference between the treated side and the control side.

(b) Construct a 95% confidence interval the wrong way, using the independent-samples method. How does this interval differ from the one you obtained in part (a)?

Reference no: EM131023649

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