Question
In: Statistics and Probability
A researcher is testing a new painkiller that claims to relieve pain in less than 15...
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.
- State the null and alternate hypothesis
- Test this hypothesis
- Use the critical value approach
Conclusion:
- Use the p value approach
- What is your conclusion?
- What is a type 1 error?
- What is a type 2 error?
Solutions
Expert Solution
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
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