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 344 minutes. for a sample of 81 patients, the mean time the drug stayed in the system was 348 minutes. assume the populatin standard deviation is 23. find the p value of the test statistic. round to four decimal places.

Answer 1

1. Null Hypothesis
2. Null Hypothesis

The test hypothesis is


Now, the value of test static can be found out by following formula:

Since P-value of a upper tailed test is equal to
= 1 - 0.9412 = 0.0588