Question

The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.02 level that the medicine relieves pain in more than 312 seconds. For a sample of 65 patients, the mean time in which the medicine relieved pain was 314 seconds. Assume the population standard deviation is 23. Make the decision to reject or fail to reject the null hypothesis.

Answer 1

This is the right tailed test .

The null and alternative hypothesis is

H₀ : = 312

H_a : > 312

Test statistic = z

= ( - ) /    / n

= (314 - 312) / 23 / 65

Test statistic = 0.701  

P-value = 0.2416

P-value >

Fail to reject the null hypothesis .