The General Electric Company claims that the life of LED light bulbs are has a mean life of 500 hours with the standard deviation of 50 hours. Test the claim of the manufacture if a random sample of 80 LED light tested and found out to be 450 hours only. Use 5% level of significance.
"H_0:\\mu=500."
"H_a:\\mu \\ne 500."
Test statistic: "z=\\frac{450-500}{\\frac{50}{\\sqrt{80}}}=-8.94."
P-value: "p=2P(Z<-8.94)<0.0001."
Since the p-value is less than 0.05, reject the null hypothesis.
There is a sufficient evidence that the claim of the manufacture is not correct.
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