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What happens to the t -distribution as the sample size increases? a) the sample mean becomes nearer to the true value of the population mean

What happens to the t-distribution as the sample size increases?

a) the sample mean becomes nearer to the true value of the population mean
b) the t-distribution appears less and less like a normal distribution
c) The t-distribution appears more and more like a Z-distribution
d) the shape of the t-distribution is unaffected

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