QUESTION FOUR (b) A new fly spray is applied to 50 samples each of 5 flies and the number of living flies counted after an hour. The results were as follows: Number Living 0 1 2 3 4 5 Frequency 7 20 12 9 1 1 i. Calculate the mean number of living flies per sample and hence an estimate for p , the probability of a fly surviving the spray ii. Using your estimate calculate the expected frequencies (each correct to one decimal place) corresponding to a binomial distribution iii. Perform a chi – square goodness – of – fit test using a 5% significance level.
QUESTION FOUR
(b)
A new fly spray is applied to 50 samples each of 5 flies and the number of living flies counted after an hour. The results were as follows:
Number Living 0 1 2 3 4 5
Frequency 7 20 12 9 1 1
i.
Calculate the mean number of living flies per sample and hence an estimate for p , the probability of a fly surviving the spray
ii.
Using your estimate calculate the expected frequencies (each correct to one decimal place) corresponding to a binomial distribution
iii.
Perform a chi – square goodness – of – fit test using a 5% significance level.
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