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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                 Calculate the mean number of living flies per sample and hence an estimate for p, the probability of a fly surviving the spray Using your estimate calculate the expected frequencies (each correct to one decimal place) corresponding to a binomial distribution Perform a chi – square goodness – of – fit test using a 5% significance level

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                 Calculate the mean number of living flies per sample and hence an estimate for p, the probability of a fly surviving the spray Using your estimate calculate the expected frequencies (each correct to one decimal place) corresponding to a binomial distribution Perform a chi – square goodness – of – fit test using a 5% significance level

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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  • 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

 

 

 

 

 

 

 

 

  1. Calculate the mean number of living flies per sample and hence an estimate for p, the probability of a fly surviving the spray
  2. Using your estimate calculate the expected frequencies (each correct to one decimal place) corresponding to a binomial distribution
  3. Perform a chi – square goodness – of – fit test using a 5% significance level.

 

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