Question

Imagine that a product developer at a pharmaceutical company wants to increase the length of time a drug remains in the bloodstream, so he develops a new version of a currently available drug. The half-life of the drug (the time the drug takes to reach half its initial concentration), in hours, is used as a measure of how long it persists. The half-life of the currently available drug follows a normal distribution with a mean 11.670 h and a standard deviation of 2.000 h. The product developer plans to perform a one-sample z?test using the known standard deviation of 2.000 h based on data collected from a simple random sample of 25 test subjects. He forms the null hypothesis H0:?=11.670 h, where ? is the mean half-life of the new drug in all patients who take it, to represent the assumption that the half-life of the new drug is no different from the current drug. He forms the alternative hypothesis H1:?>11.670 h in order to determine if there is enough evidence to say that the new drug persists in the bloodstream longer than the current drug. If the mean half-life of the new drug in the sample is 13.036 h, compute the one-sample z?statistic for the mean half-life of the new drug in all patients who take it. Give your answer to three decimal places. z=

Answer 1

Test Statsitic Z = 3.415