SOLUTION: The average time it takes for a person to experience pain relief from aspirin is 25 minutes. A new ingredient is added to help speed up relief. Let μ denote the average time t

Algebra ->  Probability-and-statistics -> SOLUTION: The average time it takes for a person to experience pain relief from aspirin is 25 minutes. A new ingredient is added to help speed up relief. Let μ denote the average time t      Log On


   

Question 374114: The average time it takes for a person to experience pain relief from aspirin is 25 minutes. A new ingredient is added to help speed up relief. Let μ denote the average time to obtain pain relief with the new product. An experiment is conducted to verify if the new product is better. What are the null and alternative hypotheses?
A. H0 : μ < 25 Ha : μ = 25
B. H0 : μ = 25 Ha : μ < 25
C. H0 : μ = 25 Ha : μ≠ 25

D. H0 : μ < 25 Ha : μ > 25
E. H0 : μ = 25 Ha : μ > 25

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
To construct hypotheses, here's one important thing to keep in mind: the null hypothesis always contains an equality (ie an equation). So this rules out choices A and D. So the null hypothesis is H%5Bo%5D: mu=25


Now because we want to speed up relief, we want the average time to be lower than 25 min. So the alternative hypothesis is H%5Ba%5D: mu%3C25


So the answer is B)