Question

The number telephone calls arriving at the Zambia University College of Technology enquiring about next semester's enrolments in a six-day working period recorded over 8 weeks were as follows. Number of calls | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 Frequency | 8 | 19 | 26 | 13 | 7 | 5 | 1 | 1 | 0 Table 2 a. Calculate the i. mean number of calls received over the 8 week period [2] ii. The variance of the calls received over the 8 week period [6] b. Using your results in (a. (i) and (ii)) above, with one reason only what probability distribution are the number of calls likely to follow over an 8 week period [2] c. State four reasons to support your assumptions in "b" above [4] d. Calculate the probabilities of each of the calls and represent them in Table 2 above [5] e. Calculate the expected values of each of the calls and represent them in Table 2 above [5] f. From your results in "e" above which cells are likely to be combined [1] g. Hence test at the 5% level of significance whether the observed frequencies are a good fit for the expected (theoretical) frequencies [5] [TOTAL 30]

          The number telephone calls arriving at the Zambia University College of Technology enquiring about next semester's enrolments in a six-day working period recorded over 8 weeks were as follows.

Number of calls | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8
Frequency | 8 | 19 | 26 | 13 | 7 | 5 | 1 | 1 | 0

Table 2

a. Calculate the
i. mean number of calls received over the 8 week period [2]
ii. The variance of the calls received over the 8 week period [6]
b. Using your results in (a. (i) and (ii)) above, with one reason only what probability distribution are the number of calls likely to follow over an 8 week period [2]
c. State four reasons to support your assumptions in "b" above [4]
d. Calculate the probabilities of each of the calls and represent them in Table 2 above [5]
e. Calculate the expected values of each of the calls and represent them in Table 2 above [5]
f. From your results in "e" above which cells are likely to be combined [1]
g. Hence test at the 5% level of significance whether the observed frequencies are a good fit for the expected (theoretical) frequencies [5]
[TOTAL 30]

The number telephone calls arriving at the Zambia University College of Technology enquiring about next semester's enrolments in a six-day working period recorded over 8 weeks were as follows.

Number of calls | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8
Frequency | 8 | 19 | 26 | 13 | 7 | 5 | 1 | 1 | 0

Table 2

a. Calculate the
i. mean number of calls received over the 8 week period [2]
ii. The variance of the calls received over the 8 week period [6]
b. Using your results in (a. (i) and (ii)) above, with one reason only what probability distribution are the number of calls likely to follow over an 8 week period [2]
c. State four reasons to support your assumptions in "b" above [4]
d. Calculate the probabilities of each of the calls and represent them in Table 2 above [5]
e. Calculate the expected values of each of the calls and represent them in Table 2 above [5]
f. From your results in "e" above which cells are likely to be combined [1]
g. Hence test at the 5% level of significance whether the observed frequencies are a good fit for the expected (theoretical) frequencies [5]
[TOTAL 30]

Added by Ernest N.

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