A hypothesis test is to be performed. State the null and alternative hypotheses. -Last month the mean waiting time at a bank was $8.4$ minutes. The manager has installed a new computer system and claims that people will no longer have to wait as long. A) Null hypothesis: mean waiting time $= 8.4$ minutes Alternative hypothesis: mean waiting time $\leq 8.4$ minutes B) Null hypothesis: mean waiting time $ 8.4$ minutes Alternative hypothesis: mean waiting time $

Question

A hypothesis test is to be performed. State the null and alternative hypotheses.
-Last month the mean waiting time at a bank was $8.4$ minutes. The manager has installed a new computer system and claims that people will no longer have to wait as long.
A) Null hypothesis: mean waiting time $= 8.4$ minutes
Alternative hypothesis: mean waiting time $\leq 8.4$ minutes
B) Null hypothesis: mean waiting time $> 8.4$ minutes
Alternative hypothesis: mean waiting time $< 8.4$ minutes
C) Null hypothesis: mean waiting time $< 8.4$ minutes
Alternative hypothesis: mean waiting time $= 8.4$ minutes
D) Null hypothesis: mean waiting time $= 8.4$ minutes
Alternative hypothesis: mean waiting time $< 8.4$ minutes

Quizplus · Accepted Answer

The null hypothesis typically states that there is no effect or no difference, so it would state the mean waiting time is equal to 8.4 minutes, as before the change. The alternative hypothesis reflects the manager's claim that the new system will reduce waiting times, hence mean waiting time is less than 8.4 minutes.

A Hypothesis Test Is to Be Performed 8.48.48.4 Minutes the Manager Has Installed a New Computer System and and Alternative

A Hypothesis Test Is to Be Performed $8.4$ Minutes the Manager Has Installed a New Computer System and and Alternative