Question

The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.05 level that the medicine relieves pain in more than 374 seconds. For a sample of 18 patients, the mean time in which the medicine relieved pain was 384 seconds with a variance of 441. Assume the population distribution is approximately normal.

Step 4 of 5 :

Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.

Reject the null or fail to reject the null?

Answer 1

This is the right tailed test .

The null and alternative hypothesis is

H₀ : = 374

H_a : > 374

Test statistic = t

= ( - ) / s / n

= (384 - 374) / 21 / 18

= 2.02

Test statistic = 2.02

df = 17

P-value = 0.0297

= 0.05

P-value <

Reject the null hypothesis .