Assume all samples are simple random samples and α (alpha) is taken to be 0.05.
A new drug has been developed for a group of people and the researchers are worried that it might have an effect on pulse rate. This particular group of people has a known mean pulse rate of 82 bpm (beats per minute). A sample of 36 people taking this experimental drug is taken from the population. The mean pulse rate of the sample is 84 bpm with a standard deviation of 5 bpm. Is there evidence that the drug is changing pulse rate?
Question 5 options:
1)
One sample z-test for the population mean.
2)
two sample z-test for the population means.
3)
One sample z-test for proportions.
4)
two sample z-test for proportions.
5)
one sample t-test for the population mean.
6)
None of our hypothesis tests fit.
The correct answer is 5) one sample t-test for the population mean.
In this scenario, we are comparing the mean pulse rate of the sample (84 bpm) to the known mean pulse rate of the population (82 bpm) to determine if there is evidence that the drug is changing pulse rate. Since the sample size is small (n = 36) and the population standard deviation is unknown, we use a t-test.