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

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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 sec (so if

, the pdf of X under H0 is for

).

a. If you had observed 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:

X1, X2,

c, Xn x $ 0 f0(x) 5 e2x X 5 response time l 5 1 a 5 .01

.10 .99 1.14 1.26 3.24 .12 .26 .80

.79 1.16 1.76 .41 .59 .27 2.22 .66

.71 2.21 .68 .43 .11 .46 .69 .38

.91 .55 .81 2.51 2.77 .16 1.11 .02 2.13 .19 1.21 1.13 2.93 2.14 .34 .44