In: Statistics and Probability
The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.02 level that the medicine relieves pain in more than 346 seconds. For a sample of 58 patients, the mean time in which the medicine relieved pain was 352 seconds. Assume the population standard deviation is 23. Find the P-value of the test statistic.
Null hypothesis
Alternative hypothesis
We have given,
Population mean for given example =346 seconds.
Sample mean=352 seconds.
Population standard deviation = 23 seconds.
Sample size for given example = 58
Level of significance =0.02
Z test statistic formula
=1.99
P value is =0.0235............by using Z table or
by using Excel command 1-NORMSDIST(1.99)