Statistical Analysis and Hypothesis Testing Assignment

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Statistical Analysis and Hypothesis Testing Assignment 1. Which of the f ollowing are dependent samples: (a) older siblings; younger siblings (matched pairs of siblings) (b) before; after (c) sample from FA; sample from FB ( both randomly chosen) (d) age of patients: older sample; younger sample (both selected at random) 2. Which of the above are independent samples: (a) older siblings; younger siblings (matched pairs of siblings ) (b) before; after (c) sample from FA; sample from FB ( both randomly chosen) (d) age of patients: older sample; younger sample (both selected at random) 3 . A study is done of accidents comparing two cities by sampling and finding the mean number of accidents per d ay. State the Null Hypothesis. H 0 : There is no significant difference between the mean number of accidents per day in the two cities. 4. Calculate the standard error if two samples sizes n 1 =25 , n 2 =19 , and standard deviations of the samples were s 1 = 3.1 , s 2 =4.2 .     2 2 2 2 1 2 1 2 3.1 4.2 Standard error 1.15 25 19 s s n n      5. Calculate the correct test statistic for the following scenarios: a) x 1  15.97, x 2  19.05, n 1  24, n 2  14,  1  3.62,  2  4.19     1 2 2 2 2 2 1 2 1 2 15.97 19.05 2.30 3.62 4.19 24 14 x x z n n           b) x 1  15.97, x 2  18.95, n 1  25, n 2  15, s 1  3.60, s 2  4.29     1 2 2 2 2 2 1 2 1 2 15.97 18.95 2.256 3.60 4.29 25 15 x x t s s n n         c) s 1  13.9, n 1  29, s 2  9.9, n 2  18     2 2 1 2 2 2 13.9 1.971 9.9 s t s   
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