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Let the random variable X follow a distribution with a mean of μ and a standard...

  1. Let the random variable X follow a distribution with a mean of μ and a standard deviation of σ. Let X1 be the mean of a sample of n1 (n1=1) observations randomly chosen from this population, and X2 be the mean of a sample of n2( n2 =49) observations randomly chosen from the same population. Which of the following statement is False? Evaluate the following statement.

                                P(μ - 0.2σ <X 1 < μ + 0.2σ) < P(μ - 0.2σ <X 2 < μ + 0.2σ) ( 10 marks)

Math   Statistics-And-Probability   
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