Exponen­tial distribution with mean

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1. You are interested in testing whether a particular brand of floppy disks has more than 5% defectives. A random sample of n = 325 disks contains 18 defectives.

(a) State the null and the alternative hypotheses.

(b) Conduct the test by computing a p-value.

2. The time between telephone calls at a company switchboard has an exponen­tial distribution with mean of 3 minutes.

(a) Find the probability that the average of 45 of these times is less than 2.5 minutes.

(b) Find the 0.15 quantile for the average of 45 of these times.

Reference no: EM131015221

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