Question

The director of research and development is testing a new drug. She wants to know if there is evidence at the 0.02 level that the drug stays in the system for more than 365 minutes. For a sample of 42 patients, the mean time the drug stayed in the system was 371 minutes. Assume the standard deviation is known to be 24

State the null and alternative hypotheses for the above scenario.

Answer 1

Here we want to test that drug stays in the system for more than 365 minutes.

i.e. µ population mean time drug stays in system.

Ho(Null hypothesis) :- µ = 365 i.e. mean time drug stays in system is not greater than 365

V/s

Ha:- µ > 365  i.e. mean time drug stays in system is greater than 365