Question

The director of research and development is testing a new drug. She wants to know if there is evidence at the 0.1 level that the drug stays in the system for more than 367 minutes. For a sample of 46 patients, the mean time the drug stayed in the system was 373 minutes. Assume the population standard deviation is 24. Find the P-value of the test statistic.

Answer 1

Solution :

The null and alternative hypothesis is ,

H0 :   = 367

Ha : 367

Test statistic = z

= ( - ) / / n

= (373 - 367) / 24 / 46

Test statistic = 1.70

P-value = 0.0450