SOLUTION: Can anyone help me with this? I have no idea which or how to formulate this. I haven't gotten this out of a text - it's homework - help:( A consumer electronics firm has deve

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Question 117016: Can anyone help me with this? I have no idea which or how to formulate this. I haven't gotten this out of a text - it's homework - help:(
A consumer electronics firm has developed a new type of remote control button that is designed to operate before becoming intermittent. A random sample of 35 of new buttons resulted in a mean of 1,241.2 hours of continuous service with a standard deviation of 110.8 hours. The current best remote control button in the market has a mean life of 1200 hours. Can we conclude that the new remote control button is superior to the current best product in the market?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A consumer electronics firm has developed a new type of remote control button that is designed to operate before becoming intermittent. A random sample of 35 of new buttons resulted in a mean of 1,241.2 hours of continuous service with a standard deviation of 110.8 hours. The current best remote control button in the market has a mean life of 1200 hours. Can we conclude that the new remote control button is superior to the current best product in the market?
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Ho: mu = 1200
Ha: mu > 1200
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Assume alpha = 0.05; Then critical z-value = 1.645
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Test Statistic:
z(1241.2) = (1241.2-1200)/sqrt(35) = 6.96
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Conclusion: Reject Ho
Conclusion: Strong statistical evidence the new product is better than the old.
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Cheers,
Stan H.