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.

  1. State the null and alternate hypothesis
  1. Test this hypothesis
    1. Use the critical value approach

Conclusion:

  1. Use the p value approach
  1. What is your conclusion?
  1. What is a type 1 error?
  1. 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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