With respect to Problem 10.6, suppose the sample data were obtained for a sample of n = 35 sets. Test the claim at the 5 percent level of significance.
Problem 10.6
The standard deviation of the life for a particular brand of ultraviolet tube is known to be σ = 500 hr, and the operating life of the tubes is normally distributed. The manufacturer claims that average tube life is at least 9,000 hr. Test this claim at the 5 percent level of significance against the alternative hypothesis that the mean life is less than 9,000 hr, and given that for a sample of n = 15 tubes the mean operating life was X = 8,800 hr.
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