A university computer lab has 128 computers, which are used continuously from time of installation until...
A university computer lab has 128 computers, which are used continuously from time of installation until they break. The average time to failure for these 128 computers was 1.523 years. Assume this information is a summary of a random sample from an exponential distribution. Construct an approximate 95% confidence interval for the parameter ?. (Hint: Use the large sample form for the confidence interval.)
Homework Answers
When X follows exponential(lamda)
the 100(1 - alpha)% CI for large sample is given by
Xbar = 1.523
n = 128
alpha = 0.05
then Z_alpha/2 = 1.96
after substituting all values, we get. CI as
(0.5428489, 0.7703488)
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