Suppose that the Orange County Telephone Exchange has been keeping track of the number of "senders" (a type of automatic equipment used in telephone exchanges) that were in use at a given instant. Observations were made on 3,754 different occasions. For capital-investment planning purposes, the budget officer of this company thinks that the pattern of usage follows a Poisson distribution with a mean of 8.5. The Orange County Telephone Exchange data are given as follows: Number Observed Observed Cumulative Observed Relative Busy Frequency Frequency Cumulative Frequency 0 O 0.0000 1 5 5 0.0013 14 19 0.0051 24 43 0.0115 57 100 0.0266 111 211 0.0562 5 10 CO V OUT A W N 197 408 0.1087 278 686 0.1827 378 1064 0.2834 418 1482 0.3948 461 1943 0.5176 11 433 2376 0.6329 12 413 2789 0.7429 13 358 3147 0.8383 14 219 3366 0.8966 15 145 3511 16 0.9353 109 3620 0.9643 17 57 3677 0.9795 18 43 3720 0.9909 19 16 3736 0.9952 20 7 3743 0.9971 21 8 3751 0.9992 22 3 3754 1.0000 (a) Select a suitable test for this problem. Justify your answer. [2 Marks] (b) State your hypothesis. [1 Mark] (c) Perform a suitable test, at the 1% significance level to test the hypothesis in (b)