A t-distribution has _________ samples in the extreme tails than a z-distribution, which results in larger critical values when doing a t-test.
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Below are the standard normal distribution and t-distribution with degrees of freedom. Standard Normal Distribution (Z-distribution) t-Distribution Which of the following statements are consistent with the display shown above? Check all that apply: - The probability of getting a statistic of 2.0 or higher is greater than the probability of getting a statistic higher than 2.0. - The t-distribution is fatter and has wider tails. This means that it is more likely to observe sample means further from the population mean. - The critical value for ̑̑ = 0.05 will be higher for the t-distribution than for the Z-distribution. - The chance of rejecting the null hypothesis is always higher for a t-test than for a Z-test.
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