The response time of a computer system to a request for a certain type of information is hypothesized to have an exponential distribution with parameter l 5 1 sec (so if X 5 response time, the pdf of X under H0 is f0(x) = e-x for x ‰¥ 0).
a. If you had observed X1, X2, ... , Xn and wanted to use the chi-squared test with five class intervals having equal probability under H0, what would be the resulting class intervals?
b. Carry out the chi-squared test using the following data resulting from a random sample of 40 response times:

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1099 1.14 1.26 3.24.12 .26 .80 79 1.16 .76 41 59 .27 2.22 .66 71 2.21 .6843 11 46 69 38 91 55 81 2.51 2.77 .16 1.11 02 2.13 .19 1.2 .13 2.93 2.14 34 44