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The number of students coming for treatment at a health facility each half hour was recorded:...

The number of students coming for treatment at a health facility each half hour was recorded: {3, 3, 2, 0, 4, 5, 6, 4, 4, 3, 2, 1, 2, 3, 0, 5, 5, 3, 2, 3, 5, 4, 1, 2, 0, 3, 2, 4, 2, 6}. Do these data follow a Poisson distribution? Conduct the appropriate Chi-Square test.

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NumberoL Studemts Comin ob Served 2 4- 2. Nuu hypothe is is Ho: X~ Poisson Alternate hypothanis i H d otollou a poisson distribu Hon →Teme an 아 Poisson di tribution is unknown so must be eri mated from the datn by tha Sample mean VS ing + u poisson ditribution ith .97 concompute pi , the hupothenised probabilites ot each clam Fron he we ean cauulate he epered frequenep -2.2.92 = 0 . 05 ו , Eo= 0.051 x30 1.53 -2-1a 2,97 = 0, I 52 , El = 0-52 X 30 = 4:56 6-72 = 0.224, E3=0.224 x 30 -2.97 2.97 = 0.099 , Es = 0.029 x 30 = 2.97 -2.9* 2j

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