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QUESTION 18 A regression yields the following output: Coefficient Standard error t-statistic p-value 1.240 0.600 2.067 0.0507 What will the test statistic be for a test of Ho: B = 1 (to 2 decimal places)Prior to conducting an ANDVA, a researcher draws the following boxplots oftheirfour samples of measurements, Sample sizes are given in the image title. Sample sizes: 1 63710.1 9 respectively a I: c: a- n n _,_ I I I I _I g _I_ : I I I I In . I ' I I I I I I I I I I I I I: c: '3 l ' I I _l_ : l I I l ' l I : _I_ _I_ I I g wj I I I I I 2 3 4 In the space provided. address the following questions: 1' Considering each boxplot and sample size in turn. state any necessary assumptions on the distribution of the underlying population, and whether or not you're concerned about the assumption/st (2 marks) 2' The ANOVA method requires the populations to have equal variance. Comment on the appropriateness of this assumption using the boxplols as evidence. (1 mark) 3. Based on the boxplots, what conclusion would expect to make in the ANOVA, and why? Would you expect the p-value to be larger or smaller than 5%? (2 marks) QUESTION 7 A sample of n = 31 observations yields a test statistic of -1.67. The test statistic has a t-distribution with n-2 degrees of freedom, and the alternative hypothesis is two-tailed. What is the associated p-value for this test? (Give your answer to 3 decimal places)