The quality-control manager at a Li-BATTERY factory needs to determine whether the mean life of a large shipment of Li-Battery is equal to the specified value of 375 hours. The process standard deviation is known to be 100 hours. A random sample of 64 batteries indicates a sample mean life of 350 hours. State the null hypotheses. Mu = 375 Mu ≤ 375 Mu = 350 Mu ≥ 350
Question
The quality-control manager at a Li-BATTERY factory needs to determine whether the mean life of a large shipment of Li-Battery is equal to the specified value of 375 hours. The process standard deviation is known to be 100 hours. A random sample of 64 batteries indicates a sample mean life of 350 hours. State the null hypotheses. Mu = 375 Mu ≤ 375 Mu = 350 Mu ≥ 350
Solution
The null hypothesis for this scenario would be: Mu = 375. This is because the null hypothesis in an experiment is the hypothesis that the variable being observed does not have an effect, or in this case, the mean life of the Li-Battery is equal to the specified value of 375 hours.
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