In: Statistics and Probability
The heart rate of a healthy lion is approximately normally distributed with mean µ = 40 beats per minutes. A heart rate that is too slow or too fast can indicate a health problem. A veterinarian has removed an abscessed tooth from a young healthy zoo lion. As the animal slowly starts to come out of the anesthetic, the heart rate is taken and recorded for half an hour (beats per minute): 30 37 43 38 35 36 Test the claim that the population average heart rate of the lion is different (either way) from 40 beats per minutes.
(a) State the null hypothesis and alternative hypothesis
(b)Find the test statistic
(c) If the type-I error α = 0.1, find the critical value(s) and shade the rejection region(s)
(d) Base on the type-I error α and rejection region(s), given above, what is your conclusion?
(e) Find the p-value