Certain types of nerve cells have the ability to regenerate a part of the cell that has been amputated. In an early study of this process, measurements were made on the nerves in the spinal cord in rhesus monkeys. Nerves emanating from the left side of the cord were cut, while nerves from the right side were kept intact. During the regeneration process, the content of creatine phosphate (CP) was measured in the left and the right portion of the spinal cord. The following table shows the data for the right (control) side (Y1), and for the left (regenerating) side (Y2). The units of measurement are mg CP per 100 gm tissue.33 Consider a t test to compare the two sides at α = 0.05 using a non directional alternative.

(a) What is the value of the t test statistic?
(b) In the context of this study, state the null and alternative hypotheses.
(c) The P-value for the t test is 0.031. If α = 0.05, what is your conclusion regarding the hypotheses in (b)?
(d) Compute a 95% confidence interval for the mean difference in creatine phosphate between the cut and control sides.
(e) A 90% confidence interval for the mean difference in creatine phosphate between the cut and control sides is (1.36, 7.91) mg/l00gm. Interpret this interval in the context of the research.

Transcribed Image Text:

Aimal Des Right side Let side 16.3 4.8 10.9 14.2 16.3 9.9 29.2 22.4 15.50 7.61 11.5 3.6 12.5 6,3 15.2 8.1 16.6 13.1 10.86 4.49 4.8 79 12.6 9.3 4.64 4.89 Mean SD