Question

In: Statistics and Probability

Under certain conditions, electrical stimulation of a beef carcass will improve the tenderness of the meat....

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:

Collagen Shrinkage Temperature (C)

Treated Side

Control Side

69.5

70

67

69

70.75

69.5

68.5

69.25

66.75

67.75

68.5

66.5

69.5

68.75

69

70

66.75

66.75

69

68.5

69.5

69

69

69.75

70.5

70.25

68

66.25

69

68.25

a) At the 0.01 level of significance, test to see if there is a significant

      difference in the two methods. (to be done by hand, not excel)

b) What assumption is necessary to perform the test in part a)?

c) Verify your work in part (a) by conducting the appropriate

      confidence interval. (Don’t forget to state the appropriate level of

      confidence)

d) Set up a hypothesis to test if electrical stimulation of a beef carcass  

      will improve the tenderness of the meat. (Set up the hypothesis

      only, you are not required to carry out the test for part d). )

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