Twelve observations from a normal distribution of mean and variance are available, of which the

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Twelve observations from a normal distribution of mean θ and variance ϕ are available, of which the sample mean is 1.2 and the sample variance is 1.1. Compare the Bayes factors in favour of the null hypothesis that 0 = θ0; assuming that 

(a) ϕ is unknown and 

(b) It is known that ϕ = 1. 

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