Question

The table below gives the distribution of the number of hits by flying bombs in 450 equally sized areas in South London during World War II. Number of hits (x) 0 1 2 3 4 5 Frequency (f) 180 173 69 20 6 2 (a) Find the expected frequencies of hits given by a Poisson distribution having the same mean and total as the observed distribution. (b) Use the Chi square distribution and 10% level of significance to test the adequacy of the Poisson distribution as a model for these data.

Name: the table below gives the distribution of the number of hits by flying bombs in 450 equally sized areas in south london during world war ii number of hits x 0 1 2 3 4 5 frequency f 180 173 6 26216
Uploaded: 2023-04-20T19:08:22-08:00
Duration: 3 min 22 s
Channel: Kari Hasz
Description: the table below gives the distribution of the number of hits by flying bombs in 450 equally sized areas in south london during world war ii number of hits x 0 1 2 3 4 5 frequency f 180 173 6 26216

          The table below gives the distribution of the number of hits by
flying bombs in 450 equally
sized areas in South London during World War II.
Number of hits  (x)    
0      
1       
2      3     
4       5
Frequency  (f)     
180     173   
69    20   
6        2
(a) Find the expected frequencies of hits given   by a
Poisson distribution having the same  mean and total as the
observed distribution.
(b) Use the Chi square distribution  and  10% level
of  significance to test the adequacy of the
Poisson distribution as a model for these  data.

Added by Thomas W.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Kari Hasz

04/20/2023

Step 1

Mean (μ) = Σ(x * f) / Σf μ = (0 * 180 + 1 * 173 + 2 * 69 + 3 * 20 + 4 * 6 + 5 * 2) / 450 μ = (0 + 173 + 138 + 60 + 24 + 10) / 450 μ = 405 / 450 μ ≈ 0.9 Show more…

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The table below gives the distribution of the number of hits by flying bombs in 450 equally sized areas in South London during World War II. Number of hits (x) 0 1 2 3 4 5 Frequency (f) 180 173 69 20 6 2 (a) Find the expected frequencies of hits given by a Poisson distribution having the same mean and total as the observed distribution. (b) Use the Chi square distribution and 10% level of significance to test the adequacy of the Poisson distribution as a model for these data.