Question: Is it believable that the numbers 65, 30, and 55 are a random sample of size 3 from a normal distribution with = 50

Is it believable that the numbers 65, 30, and 55 are a random sample of size 3 from a normal distribution with μ = 50 and σ = 10? Answer the question by using a chi square distribution. [Let Zi = (Yi − 50)/10 and use Theorem 7.3.1.]

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