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Hypothesis test

9 Review of hypothesis tests 9.1 Exercise 1 Let Y be the fuel consumption needed for heating in a building (in decalitres) and X be the average outside daily temperature. Assuming that the sample data led to the following results: 10 10 10 10 i=1 i=1 i-1 1. find the sample mean and test the null hypothesis that the average fuel consumption is the same as last years, which was 18 decalitres (1-α-0.95). 2. comment on the regression parameters and find the value of R29.2 Exercise 2 The following table shows the winner (either candidate A or B) in the latest elections in some american cities. The data refer to a sample of n 145 cities of 3 different states in the US. candidate State Texas California 23 27 12 24 26 I. At confience level 95% test the null hypothesis that the state and winning candidate are independent 2. Assuming that all ANOVA assumptions hold, use the ANOVA test to compare the pro- portion of votes for candidate A in the 3 states.

math   Statistics-And-Probability   
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iven om the gven data y be the .fud ensumption needed in heating Ll It u given a i 159 у,2 24 81 10 X -28, z? = 296 yi : 12-28 lo esies lest e hypetl ies and atleain el onSurm is 18 deca ICA es (H) ohen Ave nsumpuon us es na Uye i.e., qi ven に1 » amウ2181-1o(15-9). 14 2千81-2528.1 14 う 18.064 lest stabe ven byt 15.9 18 18-064 0.05 -2.1 5여123 :-03616 LuC hem the statis ticalConclus-on Hence, w.wedte finlthe ข1session on usgivern h 12-943-1, o 56x : P i intes Ce os unrt chan F. lives amounl charge in 1.SSElo-216 2- 2781-10(15.9 = * 252.9, ● SST 252-9 Substituting the whee in . R2, us inn by, SST I-o.216 252.9 1-0. 040 395 こ

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