In: Statistics and Probability
A researcher is testing a new painkiller that claims to relieve pain in less than 15 minutes, on average. A random sample of 49 painkillers were tested and the mean time was 13 minutes. Suppose the population standard deviation is 7 and the test is conducted at α=0.05.
Conclusion:
Type I error : Reject the null hypothesis when it is actually true
Type II error : Fail to reject the null hypothesis when it is actually false