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 384 minutes. For a sample of 79 patients, the mean time the drug stayed in the system was 386 minutes. Assume the population variance is known to be 289. Find the P-value of the test statistic. Round your answer to four decimal places.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
The director of research and development is testing a new drug. She wants to know if there is evidence at the 0.020.02 level that the drug stays in the system for more than 384384 minutes. For a sample of 7979 patients, the mean time the drug stayed in the system was 386386 minutes. Assume the population variance is known to be 289289. Find the P-value of the test statistic. Round your answer to four decimal places.
![**Hypothesis Testing for Drug Retention Time**
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 \(384\) minutes. For a sample of \(79\) patients, the mean time the drug stayed in the system was \(386\) minutes. Assume the population variance is known to be \(289\). Find the \(P\)-value of the test statistic. Round your answer to four decimal places.
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