Identify the following statement as true or false a) For any continuous data probabilities P(Z < z0) and P(Z ≤ z0) are equivalent. b) For discrete data sets such as the binomial and hypergeometric distributions, the normal approximation becomes more accurate as the sample becomes larger. c) If we are sampling from a normally distributed population with average μ and standard deviation σ, the sampling distribution of the mean is normally distributed regardless of the sample size n. Please, I need your help.

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1. Identify the following statement as true or false

a) For any continuous data probabilities P(Z < z0) and P(Z ≤ z0) are equivalent.

b) For discrete data sets such as the binomial and
hypergeometric distributions, the normal
approximation becomes more accurate as the
sample becomes larger.

c) If we are sampling from a normally distributed
population with average μ and standard deviation
σ, the sampling distribution of the mean is normally
distributed regardless of the sample size n.

Please, I need your help.

Thanks.

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