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

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) (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?
---------------
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.

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