Question

A pharmaceutical laboratory technician inspects 150, transparent, one-liter bottles of vaccines and records the number of suspended particles visible to the naked eye in each. The resulting frequencies are recorded in the table below where Lambda = 1.4. Using the Chi-Square test, test the claim that the data is Poisson distributed.

Suspended particles per liter	0	1	2	3	4	5+	Total
Frequency	33	44	42	21	8	2	150

Answer 1

Ans:

Suspended particles per liter,x	0	1	2	3	4	5+	Total
Observed Frequency(fo)	33	44	42	21	8	2	150
p(x)=Poisson(x,1.4,false)	0.2466	0.3452	0.2417	0.1128	0.0395	0.0143	1
Expected frequency(fe)	36.99	51.79	36.25	16.92	5.92	2.14	150
(fo-fe)^2/fe	0.430	1.170	0.912	0.986	0.730	0.009	4.238

Test statistic:

Chi square=4.238

df=6-1=5

p-value=CHIDIST(4.238,5)=0.5157

Fail to reject the null hypothesis.

There is not sufficient evidence to reject the claim that the data is Poisson distributed..