In: Statistics and Probability
In an effort to link cold environment to an increase in mean blood pressure, two random samples of 5 rats each were exposed to different environments. One sample of rats was held in a normal environment of 26◦C and the other was held aat 15◦C. Blood pressures were measured for rats of both groups after 1 day and are given below:
(a) If the scientists want to assume that the necessary populations
are normal, what test[s] would be reasonable to run? Explain why.
Identify the hypotheses of interest and then run this/these tests
in R and report the test statistic, degrees of freedom, and
resulting p value (it may also be useful to compute these by hand
for practice, but we will not be grading you on it).
26◦C BP: | 214 | 194 | 221 | 198 | 212 | 15◦C BP: | 225 | 215 | 253 | 272 | 254 |
(b) If the researcher does not want to assume that the relevant populations are normally distributed, what 3 tests could they perform?
(c) Perform each of the three tests listed above (using
set.seed(1) and B=10000 for any that require computer simulation)
and
(i) identify the assumptions
(ii) report the observed test statistic and
(iii) the resulting p value.
(d) Based on your findings from the tests in parts a and b, what
conclusion would you draw and what recommendations would you give
to the scientist?